Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in...

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Experimental Impingement Heat Transfer in a Rib-Roughened Trailing-Edge Channel With Cross Over Jets and Bleed Holes A thesis presented by Sultan Al shehery To The Department of Mechanical and Industrial Engineering in partial fulfillment of the requirements for the degree of Master of Science in Mechanical Engineering In the field of Thermofluids Engineering Northeastern University Boston Massachusetts August 2011

Transcript of Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in...

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Experimental Impingement Heat Transfer in a Rib-Roughened Trailing-Edge

Channel With Cross Over Jets and Bleed Holes

A thesis presented

by

Sultan Al shehery

To

The Department of Mechanical and Industrial Engineering

in partial fulfillment of the requirements for the degree of

Master of Science

in

Mechanical Engineering

In the field of

Thermofluids Engineering

Northeastern University

Boston Massachusetts

August 2011

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Abstract

The present study addresses the experimental investigation of

impingement heat transfer in a

trapezoidal cross-section model simulating a trailing edge cooling cavity with one rib-roughened

wall and slots along two opposite walls using steady state liquid crystal technique. In these

geometries, the cooling flow enters the trailing edge cavity from the supplying channel through a

row of race-track shaped slots (Crossover holes) with 0˚ tilt angle, impinging on a rib-roughened

trailing edge wall and exits from the opposite row of race-track shaped slots. There were four

different geometries tested, depending on the alignment of the cross over holes and the exit holes

were either inline or staggered, and the blockage of the cross over holes and the exit holes. The

first and the last crossover holes were blocked in the first two geometries (9 crossover holes),

and the first two and the last two crossover holes were blocked in the other two (7crossover

holes). For each geometry setting, a range of Reynolds numbers was tested. The graphs of the

Nusselt Number versus the Reynolds Number were compared for all geometries. The results

showed that the Nusselt numbers increase monotonically with increasing Reynolds numbers. It

was also found that the Nusselt Number is higher in the 7 cross over holes case than the 9 cross

over holes case in both inline and staggered arrangements. Furthermore, Heat transfer

coefficients decreased significantly near the blocked slots.

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Table of Contents List of figures………………………………………………………………………………………i

Nomenclature…………………………………………………………………………...……...…vi

Acknowledgements…………………………………………………………………………......viii

1. Introduction……………………………………………………………………………………..1

2. Literature review………………………………………………………………………...……...6

3. Experimental set up and procedure……………………………………………………..……..12

3.1. Experimental set up……………………………………………………………………..…...12

3.2. Experimental Procedure……………………………………………………………..……....21

3.2.1. Liquid crystal calibrating……………………………….…………….…………………...21

3.2.2. Cold and Heat Transfer Testes………………………………………..………………..….22

3.2.2.1. Cold test………………………………………………………………..………………..23

3.2.2.2. Heat transfer test………………………………………………………..……………….25

4. Data reduction………………………………………………………………..………………..32

5. Results and Discussion……………………………………………………….……………….42

6. Conclusion………………………………………………………………….…………………60

References…………………………………………………………………….....……………….61

APPENDIX A: Log sheets for each experiment…………………………………………..……..62

9 crossover hole-11 exit holes, inline arrangement, 0 degree tilt, no bleed……………….……..62

9 crossover hole-10 exit holes, staggered arrangement, 0 degree tilt, no bleed…………………66

7 crossover hole-10 exit holes, inline arrangement, 0 degree tilt, no bleed………………...……69

7 crossover hole-9 exit holes, staggered arrangement, 0 degree tilt, no bleed…………….…….73

APPENDIX B: Source code for Check.f……………………………………………….…….….77

APPENDIX C: Source code for Reduce.f………………………………………………..………82

APPENDIX D: Source code for Integarea.f…………………………………………………….122

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List of Figures

Figure 1: Gas turbine engine………………………………………………………………………..…1

Figure 2: Brayton Cycle……………………………………………………………………...….….…2

Figure 3: General convection cooling technique………………………………………….…….…..…3

Figure 4: General impingement cooling technique………………………………................................4

Figure 5: Schematic of film cooling configurations on a vane………………………………...……...4

Figure 6: An example of transpiration cooling………………………………………….……..….…..5

Figure 7: The schematic of the experimental setup………………………………...………………….7

Figure 8: Three different exit flow orientations…………………………………….……………..…..7

Figure 9: The test section…………………………………………………………………………….11

Figure 10: The actual test section…………………………………………………..………………….12

Figure 11: schematics of the test section……………………………………………………...……….13

Figure 12: The locations of the pressure taps……………………………………………...…………..14

Figure 13: Details of the cross- over holes (removable partition holes)…………………...………….15

Figure 14: Details of the trailing-edge channel……………………………………………….……….16

Figure 15: Details of the trailing-edge slots…………………………………………………………...16

Figure 16: Details of the rig cross-section for zero-degree tilt angle…………………………..……...17

Figure 17: The dimensions of the turbulators used in the experiment………………………...………18

Figure 18: Staggered arrangement flow………………..……………………………...………………19

Figure 19: Inline arrangement flow…………………………………………..……….……………….20

Figure 20: Liquid crystal display of the reference color during the calibration process……………....22

Figure 21: Agilent Data Acquisition Unit……………………………………………………………..26

Figure 22: The areas of test section with the camera view………………………………..…………..27

Figure 23: Home-made power distribution panel…………………………………………...…………28

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Figure 24: 1st picture for 0 Degree, 7cross over holes-9exit holes-staggered, no bleed case at 26

Psi………………………………………………………………………………………….29

Figure 25: 10th picture for 0 Degree, 7cross over holes-9exit holes-staggered, no bleed case at 26

Psi…………………………………………………………………………………………..29

Figure 26: 20th picture for 0 Degree, 7cross over holes-9exit holes-staggered, no bleed case at 26

Psi………………………………………………………………………………………….30

Figure 27: The micro-manometer……………………………………………………………………31

Figure 28: Nusselt Number versus Reynolds Number for geometry1 (Zero-degree tilt -9cross over

holes-11exit holes-inline case) at different pressure increments…………………….….41

Figure 29: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes-11exit

holes-inline case………………………………………………………………………....42

Figure 30: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes-10exit

holes-staggered case……………………………………………………………………..42

Figure 31: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes-9exit

holes-inline case………………………………………………………………………….43

Figure 32: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes-10exit

holes-staggered case…………………………………………………………………….43

Figure 33: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area1………………………………………………………………………………………..44

Figure 34: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area2……………………………………………………………………………………...44

Figure 35: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area3……………………………………………………………………………………….45

Figure 36: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area4………………………………………………………………………………………..45

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Figure 37: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area5……………………………………………………………………………………..46

Figure 38: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area6…………………………………………………………………………………..…46

Figure 39: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area7……………………………………………………………………………………….47

Figure 40: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area8………………………………………………………………………………………47

Figure 41: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes case on

area9………………………………………………………………………………………48

Figure 42: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area1………………………………………………………………………………………48

Figure 43: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area2………………………………………………………………………………………49

Figure 44: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area3………………………………………………………………………………………49

Figure 45: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area4………………………………………………………………………………………50

Figure 46: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area5………………………………………………………………………………………50

Figure 47: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area6………………………………………………………………………………………51

Figure 48: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area7………………………………………………………………………………………51

Figure 49: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

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area8……………………………………………………………………………………….52

Figure 50: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes case on

area9………………………………………………………………………………………52

Figure 51: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area1……………………………………………………………………………………..53

Figure 52: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area2………………………………………………………………………………………53

Figure 53: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area3……………………………………………………………………………………..54

Figure 54: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area4……………………………………………………………………………………….54

Figure 55: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area5……………………………………………………………………………………….55

Figure 56: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area6………………………………………………………………………………………55

Figure 57: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area7………………………………………………………………………………………56

Figure 58: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

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staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area8……………………………………………………………………………………..56

Figure 59: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes (inline &

staggered) and Zero-degree tilt -7cross over holes (inline2 and staggered2) cases on

area9……………………………………………………………………………………….57

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Nomenclature

Air mass flow rate entering the test section

A Throat Throat area of the critical venturi

Pven Air pressure at the inlet of the critical venture (gage)

Pamb Ambient Pressure

Tven Air temperature at the inlet of the critical venturi

Rejet Reynolds Number based on the cross-over hole hydraulic diameter

µin Air dynamic viscosity at the jet temperature

bleed Air mass flow rate from the bleed hole

Ableed Total bleed area

Across Supply channel cross sectional area

Q Total heat added to the air by the surface heaters

V Voltage across the heater

A Amperage through the heater

q”sidewall Heat flux at the sidewall

TF Film Temperature

Tback Temperature of the back wall

Tm Air mixed mean temperature

Nujet Nusselt number based on the cross-over hole hydraulic diameter

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hturb Heat transfer coefficient on the turbulated target wall

Dh Cooling channel hydraulic diameter

K Air thermal conductivity

h0 Outer natural convection heat transfer coefficient

Kamb Air thermal conductivity at ambient temperature

De Hydraulic diameter of the outside of test

Theater channel Heater temperature

Tliquid crystal Reference temperature of the liquid crystal

Tambient Ambient temperature

Rsidewall in Thermal resistance of the sidewall going in

Rsidewall out Thermal resistance of the sidewall going out

RMylar Thermal resistance of the mylar

Tbot Temperature of the bottom wall

Tbot,in Thermal resistance of the bottom wall going in

Tbot,out Thermal resistance of the bottom wall going out

q bot,radiation Heat flux of the bottom wall due to radiation

j Number of bleed holes before the camera in the flow direction

Pr Prandtl number

Nusmooth Nusselt number in a smooth channel

P Perimeter of the crossover hole

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Acknowledgements

This thesis would not have been possible without the support of many people. I am heartily

thankful to my supervisor, Prof. Taslim, whose encouragement, guidance and support from the

initial to the final level enabled me to develop an understanding of the subject.

My deep sense of gratitude is to Michael Fong, and Mehdi Abedi, for their help and

guidance throughout this work. I also extend my heartfelt thanks to my family and well wishers.

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1. Introduction:

Gas turbines have been widely used in various industrial applications. They are used in

aircrafts, trains, ships, generators, or even tanks by one form or another. Gas turbine converts the

fuel energy into practical power. Actually, there are a large number of different types of gas tur-

bine engines one of them is the jet engine where the air is compressed by the fan blades as it

enters the engine, and it is mixed and burned with fuel in the combustion section. The hot

exhaust gases provide forward thrust and turn the turbines which drive the compressor fan blades

as shown in Fig.1.

Figure 1: Gas turbine engine.

The basic thermodynamic cycle on which the gas turbine is based is known as Brayton cycle. It

is shown in Fig. 2.

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Figure 2: Brayton Cycle.

Turbine inlet temperature has a huge impact on the power output and thermal efficiency of the

gas turbine. So, increasing the turbine inlet temperatures and, therefore, the pressure ratios has

been the primary approach taken to improve gas-turbine efficiency. Modern turbine stage inlet

temperatures exceed the melting point temperatures of turbine blade materials. The inlet

temperatures have increased from about 540°C (1000°F) in the 1940s to 1425°C (2600°F)

today[1]. But that is causing a premature failure of the turbine blades’ life. To combat and avert

failure of turbine blades in gas turbine engines resulting from these excessive operating

temperatures, different approaches have been reached. One of them is to develop modern alloys

in parallel with the advancement of ceramic composites to sustain the severe thermal conditions.

The other one is to cool the gas turbine blades. There are four types of cooling used in gas

turbine blades; convection, impingement, film, and transpiration cooling. While all four methods

have their differences, they all work by using cooler air to remove heat from the turbine blades.

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1. Convection cooling:

In this method, the coolant air flows from the base of the turbine blade to the end through the

internal passages of turbine blade. This method requires a large internal surface area and a high

velocity of moving air. Convection cooling is failure to cool the thin trailing-edge of the blade

effectively. Fig.3 shows general convection cooling technique.

Figure 3: General convection cooling technique.

2. Impingement cooling:

Impingement cooling is a variation of convection cooling where a high velocity air is injected

radially through a center core of the blade, then turned normal to the radial direction, and passed

through a series of holes to the inner surface of the blade. It uses ribs or turbulators that impinge

the air as it flows through the airfoil. Nowadays, this method is used in the trailing and leading-

edge region of the turbine blade. Fig. 4 shows general impingement cooling technique.

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Figure 4: General impingement cooling technique

3. Film cooling:

In this type of cooling, the holes placed in the body of the airfoil allow the coolant to pass from

the internal cavity to the external surface of the airfoil. This makes a layer or ―film‖ of coolant

gas flowing along the external surface of the airfoil, protecting it from the high temperature air.

An example of a turbine blade film cooling method is shown below in Fig. 5.

Figure 5: Schematic of film cooling configurations on a vane.

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4. Transpiration cooling:

This method is similar to film cooling that it creates a thin film of cooling air on the blade. But

the different is that the gas is injected through a porous shell rather the holes. This type of

cooling is effective at high temperatures as it uniformly covers the entire blade with cool air. An

example of transpiration cooling is shown in Fig. 6.

Figure 6: An example of transpiration cooling

The current experimental investigation conducted in this study is focused on the trailing edge

section of the blade. The purpose of this investigation is to measure the heat transfer coefficients

in a test section simulating the trailing-edge of a typical airfoil employing impingement cooling

method because of its effectiveness in airfoil trailing-edge cooling.

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2. LITERATURE REVIEW:

Several experiments have been investigating different methods of cooling the trailing edge of

the turbine blade. Jet impingement on rib roughened Surface using different flow arrangements is

one of them. Unfortunately, the research in this specific method is rare, but here is a list of some

past research related to this matter with their conclusions.

W.M. Yan et al. (2005) studied the effect of the impinging heat transfer along rib-roughened

walls by using transient liquid crystal technique. The objective of this work was to examine the

detailed heat transfer coefficient distributions over a ribbed surface under impingement of in-line

and staggered jet arrangements. The experimental setup was very similar to the current

experiment that it consists of a blower, a small wind tunnel, a computerized data acquisition, an

image process system and a test section, the schematic of the experimental setup are shown in

Fig. 7. Three jet-to-target spacing Z of 3, 6 and 9 with in-line and staggered jet arrangements

were considered at jet Reynolds numbers of Re = 1500, 3000 and 4500 with three different exit

flow orientations shown in Fig. 8. The main conclusion of this study is that the heat transfer may

be enhanced or retarded by the presence of ribs and their angle as well. Also, the heat transfer

distributions are strongly affected by the cross flow effects [2].

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Figure 7: The schematic of the experimental setup.

Figure 8: Three different exit flow orientations.

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Han, J.C et al. (1989) conducted experimental investigations to study the impact of the

trailing edge ejection holes length on turbulent heat transfer and friction in a pin fin channel.

Two trailing-edge ejection holes lengths and four ejection holes configurations were examined

for a range of Reynolds numbers from 10,000 to 60,000. The results of this study showed that the

overall heat transfer increases when the length of the trailing edge ejection holes is increased and

when the trailing edge ejection holes are configured such that much of the cooling air is forced to

flow further downstream in the radial flow direction prior to exiting. Another conclusion was

that the increase in the overall heat transfer was accompanied by an increase in the overall

pressure drop [3].

Taslim et al. (1998) investigated the jet impingement on ribs in an airfoil trailing-edge cooling

channel. This setup has trapezoidal cross sectional areas with two rows of racetrack-shaped slots

on two opposite bases. The air was impinged from crossover slots through the test section and

then exited from exit slots on the opposite wall. Six test sections with a liquid crystal technique

were conducted to measure the heat transfer coefficients on the walls of the trailing edge cavity.

The first test section had smooth walls but the other five test sections were rib- roughened on

either one wall or two opposite walls. The purpose of this study was to investigate the impact of

the crossover holes on the heat transfer coefficients in cooling the trailing edge cavity of the

turbine blade. The main conclusion of this study showed that the crossover hole with rib-

roughened wall plays an important role in enhancing the cooling of the trailing edge of turbine

blade [4].

\

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Taslim et al. (2008) used a similar experimental setup to examine the effect of the jet

impingement on ribs in an airfoil trailing-edge cooling channel. The test section had trapezoidal

cross sectional area roughened with ribs. In this study, several rib geometries and angles were

investigated. There were two geometries tested over a range of Reynolds numbers depending on

the blockage of the exit holes:

Geomtery1: all exit holes were opened.

Geomtery2: Seven consecutive exit holes were blocked.

The results of this study showed the same results as in this paper. The conclusion is summarized

as follow:

1. The pressure ratio (Pplenum/Ptrailing edge ) increases as Reynolds numbers.

2. Nusselt numbers increase monotonically with increasing Reynolds numbers.

3. Area4,and 5 showed higher Nusselt numbers in a seven consecutive blocked exit holes

case than the all opened exit holes case.[5]

Taslim et al. (2011) used a steady-state liquid crystal technique to measure the heat transfer

coefficient. The test rig was made up of two adjacent channels, each with a trapezoidal cross-

sectional area. The first channel, simulating the cooling cavity adjacent to the trailing-edge

cavity, supplied the cooling air to the trailing-edge channel through a row of racetrack-shaped

slots on the partition wall between the two channels. Similar to this paper, the inline and

staggered arrangement were tested for 0 and 5 degree tilt crossover holes angles. In this study,

the air were injected from 11 crossover holes through the test section with smooth walls and

exited from 12 exit holes on the opposite wall, and the test section was evenly divided into 11

areas. The testes were done for a range of local jet Reynolds number from 10,000 to 35,000.

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Then, the results the tests were compared. Measurements were performed on area 6 in the middle

of the test section for two jet tilt angles of 0 deg and 5 deg and for two cross-over versus trailing-

edge slot arrangements of inline and staggered. One conclusion of this study was that staggered

or inline arrangement did not play an important role in the pressure ratios. The other conclusion

was secondary cross flow changed the flow structure and reduced the heat transfer coefficients

on the target areas immediately upstream of the blocked exit holes and that was because of the

blockage of trailing edge slots[6].

Filippo Coletti et al. (2011) presented an aero thermal investigation of a rib-roughened

trailing edge channel with crossing jets. A trapezoidal cross-section model were used in this

experiment to simulate the trailing edge cooling cavity with one rib-roughened wall and slots

along two opposite walls, the setup is shown in Fig. 9. One Reynolds number of 67,500 was

defined at the entrance of the test section for all the experiments. Similar to the current study, a

thermo chromic liquid crystal, and a K-type thermocouple were used to measure the wall and the

bulk flow temperatures respectively. The major conclusion of this experiment is that the

turbulators concur to extend the positive effect of the impingements by breaking and deflecting

the jets. The ribs insertion is responsible for an average heat transfer enhancement of 25% on the

bottom wall and of 16% on the upper wall [7].

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Figure 9: The test section.

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3. Experimental set up and procedure:

3.1. Experimental set up:

In this experiment, a typical gas turbine airfoil was modeled and put into a laboratory setting,

the actual picture and detailed schematics of the test section are shown in Figs.10 and 11

respectively.

Figure 10: The actual test section

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Figure 11: schematics of the test section.

This set up is made out of clear acrylic plastic, and has to endure the process of being taken

apart, adjusted, put back together, and sealed again.

Air originates from a hydrovane compressor that is located in a room that is opposite to the

experimental setup. The air travels through the heat exchanger system, the critical venturi, and

then finally into the experimental setup. The heat exchanger has an inner and outer diameter of

2.5" and 4", respectively. The critical venturi has a throat diameter of 0.32 inches, and used for

measuring the total mass flow rate.

The air entered the test section through the plenum from two inlet ports on two opposite walls

of the plenum. The plenum has a cubical shape of 20‖x20‖x20 with a wall thickness of 1‖. A

honeycomb flow straightener was placed in a groove in the middle of the plenum. Two

thermocouples and a pressure tap were placed on the plenum to measure the inlet air

temperatureTin1&Tin2 and the plenum pressure Pplen, shown in fig.11. Then, the air continued to

the supply channel. It had a trapezoidal cross-section with a length of 49 inches, and made of

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0.5- inches-thick acrylic plastic. The front, back and bottom walls are rectangular while the side

walls are in trapezoidal shape. In the middle of the bottom wall of the supply channel, a

thermocouple was mounted to measure the jet temperature. Three pressure taps were put on the

front wall to measure the pressure in the supply channel Psup1, Psup2, and Psup3. Psup1 tap was

located 17 inches away from the plenum, and Psup2 tap was 13.25 inches away from Psup1 tab

while Psup3 tap was located on the side wall at the end of the supply channel, all are shown in Fig.

12.

Figure 12: The locations of the pressure taps.

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The air travels to the trailing edge cavity through a removable partition wall. The removable

partition wall was 36 inches long and made from clear acrylic plastic in a trapezoidal shape. It

was placed in between the top of the supply channel and the bottom of the trailing-edge cavity

with 11 holes. The first hole was located 8.5 inches from the first end and adjacent holes were 2

inches apart from each other. The details of the cross- over holes are shown in Fig. 13.

Figure 13: details of the cross- over holes (removable partition holes).

The trailing edge channel was 38.5 inches long and consisted of two parts that could be removed

or added, the turbulators, and the trailing edge slots. Details of the trailing-edge channel

including the cross-over holes, trailing-edge slots and turbulators are shown in Fig. 14.

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Figure 14: details of the trailing-edge channel.

The top wall of the trailing edge cavity is known as trailing-edge removable partition wall. It was

made from the clear acrylic plastic with the trapezoid shape. This wall had 12 holes where the

first hole was placed 7.5 inches away from the first end of the trailing edge removable partition

wall and holes were 2 inches apart from each other. They are shown in Fig. 15.

Figure 15: details of the trailing-edge slots.

The front wall of the trailing edge channel had a rectangular shape while the two side walls have

a trapezoidal shape. These three walls were made of 0.5-inches-thick clear acrylic plastic. Two

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25

thermocouples and two pressure taps were mounted on the side walls to measure the

temperatures Tend1&Tend2 and the pressures Pend1& Pend2. A bleed line, made of a 0.5-inch-

diameter PVC pipe, was connected to the end of the trailing-edge side wall. This bleed valve was

closed in all experiments. On the back wall of the trailing-edge channel, the turbulators, the

heaters and the liquid crystal sheet were glued as shown in Fig. 16.

There were a total of 3 heaters behind the liquid crystal foil. Each heater was 11 inches long

and 3 inches wide. The liquid crystal foil stacked on top of the heater. The total thickness was

0.001 inch. The heaters played an important role in this experiment, because they provided the

heat flux necessary to measure the heat transfer coefficient. The heaters were connected to the

Figure 16: Details of the rig cross-section for zero-degree tilt angle.

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power supply on a home-made power distribution panel which controlled the voltages across

each heater (see Fig. 23). Liquid crystals are referred to as thermo chromic since they reflect

different colors selectively when subjected to temperature changes. At any particular

temperature, liquid crystals reflect a single wavelength of light. The colors can be calibrated to

particular temperatures since the transition of colors is sharp and precise. The calibration of this

experimental investigation was considering an appearance of specific green shade which

corresponded to the temperatures of 96.3 and 95.7 °F. On the top of the liquid crystal sheets,

there were 11 turbulators with a shape and dimensions shown in Fig. 17.

Figure 17: The dimensions of the turbulators used in the experiment.

A Panasonic Lumix digital camera was placed in a movable setup in front of the test section to

take a photograph of the reference color display on the liquid crystal film during the experiment,

then to sigma scan pro5 program to digitalize them. The results were non-dimensionalized so

they can be used for the design of the cooling circuit in the airfoil of a gas turbine. The target

surface was evenly divided into the 9 areas. Two flow arrangements were applied inline

arrangement where the cross-over holes were in line with the exit holes, and staggered

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arrangement where the holes were staggered with respect to each other. Staggered and inline

flow arrangements are shown in Figs.18 and 19 respectively.

Figure 18: staggered arrangement flow.

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In the first two geometries, the first and the last cross-over holes were blocked and both inline

and staggered flow arrangements were tested. In the second geometry, the first two and the last

two cross-over holes were blocked and both inline and staggered flow arrangements were tested

as well.

Figure19: inline arrangement flow.

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3.2. Experimental Procedure:

3.2.1. Liquid crystal calibration:

Before running the experiment the liquid crystal film needed to be calibrated to see which

color is represented as the reference temperature. The procedure establishes a one-to-one

correspondence between the color and temperature. This is achieved by creating an isothermal

surface of known temperature, treated with liquid crystal, changing the temperature and

assigning a color band to that temperature [8].The liquid crystal display sheet was submerged in

a well stirred water bath starting at approximately 100º F. As the water starts to cool to room

temperature, a camera was used to take a picture of the temperature drop progress. The

temperature range of this particular liquid crystal sheet is between 90º F and 100º F. After the

calibration process was completed, a specific temperature was chosen. Because two different

liquid crystal sheets were used, two different liquid crystal calibration exams were done. The

reference temperatures corresponding to a specific shade of green were selected to be 95.7°F,

and 96.3°F. One of the pictures of the reference temperature that was chosen is located below in

Fig. 20.

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Figure 20: Liquid crystal display of the reference color during the calibration process.

3.2.2. Cold and Heat Transfer Testes:

Before the geometry was tested it was necessary to do a leakage test to ensure that the test

section did not leak and the setup was sealed with silicon at every separation line where the air

could leak. Once this procedure had done and the silicon dried out then the experiment was run.

Two different tests were conducted for each case:

Cold Test.

Heat Transfer Test.

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3.2.2.1. Cold test:

A test was performed without the use of the heaters. There were a total of 11 pressure increments

5,10,15,20,25,30,40,50,60,70,80 psi chosen. This test was done once in the beginning for each

geometry. Four cold tests were conducted for the four geometries. The variables collected during

this test are listed in Table1, with the exception that Pven is in the cold test, which indicates the

pressure selected at the critical venturi. The purpose of this test was to measure the pressure ratio

across the cross-over holes versus the jet Reynolds number. The original log sheets for the cold

tests are in Appendix A.

Tven The air temperature at the critical venturi inlet

Tin1 The temperature of the air flowing through the bell mouth opening on one

side

Tin2 The temperature of the air flowing through the bell mouth opening on the

opposite side of Tin1

Tjet The temperature of the air flowing through the channel

Tend1 The temperature of the air at the end of the channel closest to the plenum

Tend2 The temperature of the air at the opposite end of channel

Tamb Lab temperature

V1 and A1 The voltage and amperage readings from heater 1

V2 and A2 The voltage and amperage readings from heater 2

V3 and A3 The voltage and amperage readings from heater 3

Pplen The pressure reading from the plenum

Psup1 The pressure reading from the cavity or supply channel closest to the

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plenum, also

found in Figure 1 above

Psup2 The pressure reading from the cavity or supply channel in the middle of the

section, also found in Figure 7 above

Psup3 The pressure reading from the cavity or supply channel from the opposite

side of Psup1, also found in Figure 1 above

Pend1 The pressure reading from the test section closest to the plenum, also found

in Figure 1 above

Pend2 The pressure reading from the test section opposite to Pend1, also found in

Figure1 above

DP, orifice Pressure difference across the orifice plate

Pamb Lab pressure

Cross-Over Hole

Angle

Indicates the angle of the cross-over jet toward the target wall TE slot

arrangement

Bleed Valve Indicates whether or not the valve is opened or closed

Remarks The comments of that specific experiment

TE slot

arrangement

Indicates whether or not the racetrack exit holes from Figure 16 are inline or

staggered with respect to the cross-over holes

Table 1: The labels and their definitions of both cold and heat test log sheets.

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3.2.2.2. Heat transfer test:

In the heat transfer test, six inlet venturi pressure increments were run (13, 26, 40, 54, 69, and

80 psi) corresponding to six jet Reynolds Numbers in each experiment. There were a total of four

experiments conducted. They are as follows:

0 Degree jet angle, 9 cross-over holes, 11 exit holes, inline arrangement, no bleed.

0 Degree jet angle, 9 cross-over holes, 10 exit holes, staggered arrangement, no bleed.

0 Degree jet angle, 7 cross over holes, 10 exit holes, inline arrangement, no bleed.

0 Degree jet angle, 7 cross over holes, 9 exit holes, staggered arrangement, no bleed.

When an experiment was chosen to be performed, the compressor which provides the air to

the system was turned on and left on for approximately 30 minutes for the system to reach

equilibrium. In the meantime, the heat exchanger was turned on by turning on the cold water

supply. Then the environmental pressure reading was taken from www.weatherchannel.com with

the specific zip code of 02115 .The venturi gauge pressure was set to a pre-determined level and

the electrical power panel, volt-meter, amp-meter, acquisition switch unit, micro-manometer, and

the camera were turned on. After all devices were ready then the data acquisition process began.

The air was supplied to the plenum from two inlet ports on two opposite side walls and passed

through the flow straightener to the supply channel. Then the air travelled across the cross-over

holes to the trailing-edge cavity and then passed through the trailing-edge slots to the ambient. A

Panasonic Lumix digital camera was placed in a movable setup in front of the testing section so

it can take three pictures at three different positions at a time. So, a typical experiment would

have 60 pictures for each pressure. The test section was divided into 9 areas, and this is shown in

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Fig.22. For temperatures, Agilent 34970A Data Acquisition Switch Unit was used to record the

temperature, the picture is shown in Fig.21.

Figure21: Agilent Data Acquisition Unit

The temperature was read in degrees Fahrenheit from 7 different channels. The first reading was

at venturi, the next two readings in the plenum as the inlet temperature, the fourth and fifth

readings were at both ends of the trailing edge cavity and the sixth reading was the ambient air.

The final reading was at the middle of the feed channel where air entered the sixth cross-over

having to form a jet in the trailing edge cavity. This is called jet temperature. The positions of the

thermocouples are shown in Fig.11 above. All these temperatures labels and their definitions are

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shown in Table1 above.

Figure 22: The areas of test section in the camera view.

The voltages across different heaters were adjusted such that to see the first patch of green

color on the liquid crystal film. The voltage increments were found by taking the minimum and

maximum voltages and finding how much to increase the voltage for each picture. For 9 cross-

over- hole cases, since all three heaters had identical resistances, we had identical voltages across

the heaters. But for 7 cross-over-hole cases, first and third heaters had identical voltages and the

second heater was higher than them by almost a half. This was done using the home-made power

distribution panel. The home-made power distribution panel is shown in Fig. 23.

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Figure 23: Home-made power distribution panel.

The control panel contains eight small rheostats. Each rheostat controlled the voltage across a

heater since we had three heaters, we used three rheostats. These heaters have the same area and

the same resistance. Therefore, to have a uniform heat flux on the heated wall, we set the small

rheostats to the same level. To move the liquid crystal reference color from one location to

another, we had to gradually increase the power to each heater. This was done with the bigger

rheostat which controlled the voltage going to smaller rheostat. First, tenth, and twentieth

pictures of the second heater for 0 Degree, 7cross over holes,9exit holes,staggered, no bleed case

at 26 psi are shown in the Figs. 24, 25, and 26 respectively.

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Figure 24:1st picture for 0 Degree, 7cross over holes-9exit holes-staggered, no bleed case at 26

psi.

Figure 25: 10th picture for 0 Degree, 7cross over holes-9exit holes-staggered, no bleed case at 26

psi.

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Figure26: 20th picture for 0 Degree, 7cross over holes-9exit holes-staggered, no bleed case at 26

psi.

To measure the pressures, two manometers were used:

Micro-manometer:

This manometer has an accuracy of 0.00015 inches of water column and uses a fluid type of

A-126 fluoresce in green color concentrate which had a specific gravity of 1.0. The maximum

pressure measured by this micro-manometer is 2 inches of water column. The micro-manometer

was used for measuring small pressures less than 2 inches of water column in most cases. Fig. 27

shows this manometer.

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Figure 27: The micro-manometer.

Oil manometer:

This manometer has an accuracy of 0.05 inches of liquid and a specific gravity of 0.827. The

manometer was used for pressures higher than 2 inches of water column.

After each case was completed, the raw data log sheets for both heat transfer and cold tests

were put into an excel format. The input file in appropriate ASCII format was created to be used

in a FORTRAN program to calculate Reynolds numbers, the heat transfer coefficient and the

Nusselt numbers. Also, the pictures were taken to Sigma Scan Pro5 program to digitize each

picture. In the digitization process, the total number of pixels converting the green reference

color were counted and saved in a file.

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4. Data reduction:

When all cases and experiments were completed, three different FORTRAN programs were

run; check.f,reduce.f and integarea.f. Check.f program checks for any user typographic errors,

for example if the power was too high because the voltage or amperage readings were recorded

wrong, then the program will alert the user that there is a recording error. Basically, this program

read in each column of the text file and checked the data for major deviations. After reading each

row, the voltage across each heater was divided by its respective current to calculate the heater’s

resistance. If at any point the calculated resistance varied by more than 1℅, the data point was

flagged. Then, that row of data was inspected alongside the hand-recorded data for inaccuracies.

Other checks in this program ensured that the temperature and pressure inputs were not beyond

the expected range of variation. The FORTRAN program (check.f) can be found in Appendix B.

After checking for errors, the data is taken to the next step, which is reduce.f program, see

Appendix C. The reduce.f program takes every photograph pertaining with each experiment and

calculates the energy balance. This program calculated the total heat flux corresponding to each

heater as well as the local heat transfer coefficients, total heat losses to the ambient, radiative

fluxes, Nusselt number using an iterative process in conjunction with thermal resistance

equations. The reduce.f program performed all geometric calculations first. Those geometric

calculations included: The perimeter of the channel, the height of the channel, the cross-sectional

area of the channel, the hydraulic diameter (Dh) determined by multiplying the cross-sectional

area of the cross-over hole by four and dividing the result by the cross-section’s perimeter as

shown in equation1.

(1)

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The air mass flow rate (lbm/s) through the critical venturi was calculated by using the

manufacturer's specifications, shown by Equation 2.

(2)

Air properties at the inlet temperature were used to calculate the inlet Reynolds number by using

Equation 3. The temperature was taken as an average with Tin1 and Tin2, in addition to that the

environmental pressure, which was recorded in inches of Mercury is converted to psi.

= (3)

Then the total heat added to the coolant by the heaters was determined. Since, only heater 1, 2

and 3 were designated, the following formula was developed to solve for power (BTU/hr):

(4)

Therefore, the heat flux (BTU/ (ft2·hr)) to the sidewall at the target zone was:

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(5)

The film temperature and the Nusselt number of the jet can be found below by Eqs. 6 ,and 7

respectively.

(6)

(7)

The losses due to conduction through the walls of the test section were accounted for using

thermal equivalent circuits. The natural convection heat transfer coefficient on the outer surface

of the channel was calculated from Ozisik's correlation (8) [9]:

(8)

The resistance to heat transfer due to natural convection is equal to the inverse of the convection

coefficient. However, the resistance due to conduction is dependent on the inverse of the

material’s thermal conductivity multiplied by the material’s thickness. Therefore, it was

important to break down the heater assembly into its numerous layers of adhesive, kapton and

the heating element itself. The liquid crystal foil was broken into Mylar protective, liquid crystals

and absorptive black paint background and Plexiglas outer wall and polyurethane insulation,

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depending on which wall was analyzed [10]. When looking at the back wall from the inside of

the test section at the center of the heating element to ambient air, it contained the stacks of the

following; 0.25 mil inconel heating element, 0.5 mil adhesive, 0.5 mil kapton, 2 mil adhesive, 3

inches polyurethane. And from the center of the heating element to the air inside the test section

have contained 0.25 mil inconel heating element, 1.0 mil adhesive, 2.0 mil kapton, 1.0 mil

adhesive, 0.5 mil inconel spreader, 1.0 mil adhesive, 2.0 mil kapton, 1.5 mil adhesive, 3.0 mil

absorptive black background, 2.0 mil liquid crystal and 5.0 mil mylar. The materials used had the

following thermal conductivities: kkapton = 0.0942 BTU/hr.ft·°F, kpolyurethane= 0.033 BTU/hr.ft·°F,

kplexiglas=0.11 BTU/hr·ft·°F, kmylar=0.085 BTU/hr·ft·°F, kadhesive=0.1272 BTU/hr·ft ·°F,

kinconel=9.0152 BTU/hr·ft·°F, kblackbackground=0.165 BTU/hr·ft ·°F, kliquid crystal=0.165 BTU/hr·ft ·°F

When looking at the front wall (camera side), the circuit comprises of the air inside the test

section, and a following layer of 0.46 inches Plexiglas to ambient air. Using an iterative method

in conjunction with the data collected and the resistances calculated, an energy balance was

solved and the internal convection coefficient of the sidewall was determined. Following are the

algebraic equations used to solve the energy balance. The temperature at the center of the heating

element was found in terms of heat flux as given below.

(9)

This temperature would allow the heat flux out of the heater, from the heater to the ambient air,

as well as the heat flux toward the liquid crystal layer to be determined. The equations 10, 11,

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and 12 were used to calculate the heat flux out, the heat flux in, and the percentage of heat loss

respectively.

(10)

(11)

=100*

(12)

The surface temperature of the side wall could be solved by further manipulation of the thermal

equivalent circuit, equation 13.

(13)

To solve for the convection coefficient of the sidewall, more calculations from the heated and

unheated channel wall areas were needed. The mean temperature of the air was calculated by

using an energy balance equation, which is below in Equation 14.

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(14)

Using Newton’s law of cooling, the convective heat transfer coefficient at the sidewall could

then be calculated.

(15)

From here, an initial guess set the convective heat transfer coefficient of the opposite wall equal

to the target wall’s convective heat transfer coefficient. The temperatures of the top and bottom

walls were each set equal to the air mixed mean temperature, which was also an initial guess.

The actual wall temperatures took into consideration the conductive heat losses and the radiative

heat losses as well. This involved calculating the view factors in and out of the four surfaces,

setting the emissivity, finding the temperatures at each surface, and finding the heat flux into or

out of each surface. Therefore, another thermal equivalent circuit which accounted for radiation

had to be established and solved. The resistances to radiative heat transfer to the ambient air at

the top wall, front sidewall, and bottom wall was equal to the sum of resistances of the Plexiglas,

and natural convection. The resistance to convective heat transfer at each of those walls was

equal to the inverse of the respective wall’s convection coefficient. Thus, the temperature at each

of those walls could be found in terms of the heat flux at each wall.

.

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(16)

Then once the temperature is known, the heat flux out towards the environment for each wall can

be found in Equation 17 below

(17)

And the total heat loss to the ambient air via radiation and conduction could be quantified,

equation18.

(18)

The heat added to the air from the heaters is a difference between the heat from the heaters and

the heat wasted; it is shown in Equation 19.

(19)

An energy balance between the inlet and the point in question was applied again to find the

mixed mean temperature of air. The losses in heat flux at the sidewall are simply the summation

of the losses due to radiation and conduction out to the ambient air. Then the heat transfer

coefficient at the side wall from the Newton’s law of cooling was obtained equation20.

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(20)

The air properties at the film temperature were used to determine the local Reynolds number by

using Equation 21 below.

(21)

The uncertainty for the entire experiment was found by using Kline and McClintock's method,

and with help from further reading from Robert J Moffat [11]. The convection coefficient found

for the target wall could then be multiplied by the hydraulic diameter of the cross-over hole and

divided by the air thermal conductivity at jet temperature to determine the Nusselt number from

Eq. 22.

(22)

The last step is to run the data into the integarea.f program; the source code is in Appendix D. In

this program the area weighted average of the Nusselt number was found and the uncertainty

associated with the average Nusselt number at each flow rate. The average Nusselt number was

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calculated with Equation 23, where A is the pixel area from Sigma Scan Pro for each picture and

n is the number of pictures per experiment.

(23)

After these three programs, graphs were made and analyzed.

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5. Results and Discussion:

Four different geometry arrangements were compared:

All these arrangements were for zero degree tilt angle and closed bleed valve

These geometries are:

-Geometry 1:0 Degree tilt angle, 9 cross-over holes, 11 exit holes, inline arrangement, no bleed.

-Geometry2: 0 Degree tilt angle, 9 cross-over holes, 10 exit holes, staggered arrangement, no

bleed.

-Geometry3: 0 Degree tilt angle, 7 cross over holes, 10 exit holes, inline arrangement, no bleed.

-Geometry4: 0 Degree tilt angle, 7 cross over holes, 9 exit holes, staggered arrangement, no

bleed.

All the graphs below are showing the results of these comparisons.

Figure28: Nusselt Number versus Reynolds Number for geometry1 (Zero-degree tilt -9cross over holes-

11exit holes-inline case) at different pressure increments.

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Figure29: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes-11exit holes-

inline case.

Figure30: Nusselt Number versus Reynolds Number for Zero-degree tilt -9cross over holes-10exit holes-

staggered case.

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Figure31: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes-9exit holes-

inline case.

Figure32: Nusselt Number versus Reynolds Number for Zero-degree tilt -7cross over holes-10exit holes-

staggered case.

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Figure33: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area1.

Figure34: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area2.

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Figure35: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area3.

Figure36: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area4.

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Figure37: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area5.

Figure38: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area6.

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Figure39: Nusselt Number versus Reynolds Number for Zero-degree tilt , 9cross over holes case, area7.

Figure40: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area8.

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Figure41: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes case, area9.

Figure42: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area1.

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Figure43: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area2.

Figure44: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area3.

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Figure45: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area4.

Figure46: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area5.

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Figure47: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area6.

Figure48: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area7.

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Figure49: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area8.

Figure50: Nusselt Number versus Reynolds Number for Zero-degree tilt, 7cross over holes case, area9.

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Figure51: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt, 7cross over holes (inline2 and staggered2) cases, area1.

Figure52: Nusselt Number versus Reynolds Number for Zero, degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt, 7cross over holes (inline2 and staggered2) cases, area2.

9cross-over-11exit holes, inline

9cross-over-11exit holes, inline

7cross-over-10exit holes, inline

7cross-over-10exit holes, inline

7cross-over-9exit holes, staggered

7cross-over-9exit holes, staggered

9crossover-10exit holes, staggered

9crossover-10exit holes, staggered

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Figure53: Nusselt Number versus Reynolds Number for Zero-degree tilt,9cross over holes (inline &

staggered) and Zero-degree tilt ,7cross over holes (inline2 and staggered2) cases, area3.

Figure54: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt,7cross over holes (inline2 and staggered2) cases, area4.

9cross-over-11exit holes, inline

9cross-over-11exit holes, inline

7cross-over-10exit holes, inline

7cross-over-10exit holes, inline

7cross-over-9exit holes, staggered

7cross-over-9exit holes, staggered

9crossover-10exit holes, staggered

9crossover-10exit holes, staggered

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63

Figure55: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt,7cross over holes (inline2 and staggered2) cases, area5.

Figure56: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt, 7cross over holes (inline2 and staggered2) cases, area6.

9cross-over-11exit holes, inline

9cross-over-11exit holes, inline

7cross-over-10exit holes, inline

7cross-over-10exit holes, inline

7cross-over-9exit holes, staggered

7cross-over-9exit holes, staggered

9crossover-10exit holes, staggered

9crossover-10exit holes, staggered

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64

Figure57: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt,7cross over holes (inline2 and staggered2) cases, area7.

Figure58: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt ,7cross over holes (inline2 and staggered2) cases, area8.

9cross-over-11exit holes, inline

9cross-over-11exit holes, inline

7cross-over-10exit holes, inline

7cross-over-10exit holes, inline

7cross-over-9exit holes, staggered

7cross-over-9exit holes, staggered

9crossover-10exit holes, staggered

9crossover-10exit holes, staggered

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65

Figure59: Nusselt Number versus Reynolds Number for Zero-degree tilt, 9cross over holes (inline &

staggered) and Zero-degree tilt ,7cross over holes (inline2 and staggered2) cases, area9.

Discussion the figures above:

The target zone in all tested configurations was divided into nine areas where Nusselt Numbers were

obtained for each of those areas. For all cases, those Nusselt Numbers were plotted versus the jet

Reynolds Numbers. Further details of these figures are:

Figure 28 shows Nusselt Number versus Reynolds Number at different pressure increments (13,

26, 40, 54, 69 and 80 psi) for all cases. They show a monotonic increase in Nusselt Number as

Reynolds Number increases with increasing the pressure. This is because the flow at a higher

flow rate has a higher convective effect. The reason why the Nusselt number is higher as the

Reynolds number increases is because of the turbulators. The turbulators serve as an obstruction

for the air and with the combination of the vorticity effects; it creates swirls behind the turbulator

as it accumulates.

Figures 29 through 32 show Nusselt Number versus Reynolds Number on all nine areas for each

geometry:

9cross-over-11exit holes, inline

7cross-over-10exit holes, inline

7cross-over-9exit holes, staggered

9crossover-10exit holes, staggered

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66

I. Figugure 29 shows Nusselt Number versus Reynolds Number on all nine areas for

geometry 1 (9 over- holes-11 exit-holes-inline arrangement case) where the highest

Nusselt Number at area8 and the lowest at area9.

II. Figure 30 shows Nusselt Number versus Reynolds Number on all nine areas for geometry

2 (9 over-holes-10 exit-holes-staggered arrangement case) where the highest Nusselt

Number at area8 and the lowest at area5.

III. Figure 31 shows Nusselt Number versus Reynolds Number on all nine areas for geometry

3 (7 over-holes-10 exit-holes-inline arrangement case) where the highest Nusselt Number

at area8 and the lowest at area9.

IV. Figure 32 shows Nusselt Number versus Reynolds Number on all nine areas for geometry

4 (7 over-holes-9 exit-holes-staggered arrangement case) where the highest Nusselt

Number at area8 and the lowest at area9.

Figures 33 through 41 show the comparison between inline and staggered arrangements for 9

cross over holes case for areas1 through 9 consecutively :

I. The Nusselt Number is varying in the comparison depending on each area and the pressure

increment for each arrangement but the lowest Nusselt Number was in area9 for inline

arrangement.

II. The overall conclusion from this comparison is staggered or inline arrangement did not play

an important role in the heat transfer coefficients.

Figures 42 through 50 show the comparison between inline and staggered arrangements for

7cross over holes case for areas 1 through 9 consecutively :

I. The Nusselt Number is varying in the comparison depending on each area and the

pressure increment for each arrangement but the lowest Nusselt Number was in area9 for

inline arrangement.

II. The overall conclusion from this comparison is staggered or inline arrangement did not

play an important role in the heat transfer coefficients.

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67

Figures 51 through 59 show the comparison between all four geometries:

I. The Nusselt Number and Reynolds number are higher in the 7 cross over holes than the 9

cross over holes case in both inline and staggered arrangements.

II. The lowest Nusselt Number was on area 9 for the 9 cross over holes and inline

arrangement.

III. The overall conclusion from this comparison is that staggered or inline arrangement did

not play an important role in the heat transfer coefficients.

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68

6. Conclusion:

An experimental investigation was conducted to determine the effect of the number of cross-

over holes on impinging heat transfer coefficient in a trailing-edge cooling channel. This

experiment simulated the cooling flow in a trailing edge cooling cavity of a turbine airfoil for a

typical gas turbine engine. The test section contained ribs or turbulators that induced a turbulent

flow to enhance heat transfer coefficients. Two cases of nine crossover holes and seven

crossover holes and arranged in either in lined or staggered with respect to the exit holes were

investigated. All experiments were set up for closed bleed valve and zero degree tilt angle for the

crossover holes. The conclusions of this experimental study are listed below:

1. The Nusselt number increased monotonically as the Reynolds number increased.

2. The staggered or inline arrangement did not play an important role in the heat transfer

coefficients.

3. The lowest Nusselt Number was in area 9 for the 9 cross over holes, inline arrangement case.

4. The Nusselt Number and Reynolds number are higher in the 7-cross-over-hole than the 9-cross

over-hole case in both inline and staggered arrangements.

5. The lowest Nusselt Numbers were found in the areas next to the blocked slots

6. The highest Nusselt Numbers was in area 8 in the 7-crossover-hole arrangement.

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69

References:

[1] Frank Kreith., “The CRC handbook of thermal engineering”, 2000.

[2] Yan, W.M., Liu, H.C., Soong, C.Y., and Yang, W.-J., “Experimental study of impinging

heat transfer along rib-roughened walls by using transient liquid crystal technique”,

International Journal of Heat and Mass Transfer, 2005.

[3] Han, J.C., Lau, S.C., and Batten, T., Heat Transfer, ―Pressure Drop and Mass Flow

Rate in Pin Fin Channels with Long and Short Trailing Edge Ejection Holes,‖ Journal of

Turbomachinery, Vol. 111, No.2, 1989, pp. 117-123.

[4] Taslim, M.E., Li, T. and Spring, S.D., ―Measurements of Heat Transfer Coefficients in Rib-

Roughened Trailing-Edge Cavities with Crossover Jets,‖ ASME Paper No. 98-GT- 435, 1998.

[5] Taslim, M.E., Nicolas, G.J., ―An Experimental and Numerical Investigation of Jet

Impingement on Ribs in an Airfoil Trailing-Edge Cooling Channel,‖ ISROMAC 12-

2008-20238, pp. 1-8.

[6] Taslim, M. E., and Nongsaeng,A. , “Experimental and Numerical Cross-Over Jet

Impingement in an Airfoil Trailing-Edge Cooling Channel”, 2011.

[7] Filippo Coletti, Alessandro Armellini, and Tony Arts, ―Aerothermal Investigation of a

Rib-Roughened Trailing Edge Channel With Crossing Jets‖—Part II: Heat Transfer Analysis, J.

Turbomach. -- July 2011 -- Volume 133, Issue 3, 031024 (8 pages).

[8] Azar, K., Benson, J.R., Manno, V.P., ―Liquid crystal imaging for temperature measurement

of electronic devices‖ Semiconductor Thermal Measurement and Management Symposium, Vol.

12-14, February 1991, pp. 23 – 33.

[9] Ozicik, M. Necati, ―Heat Conduction,‖ John Wiley and Sons Ltd, 1993, pp. 343.

[10] El-Husayni, H.A., ―An Experimental Investigation of Heat Transfer Coefficients in

Stationary and Orthogonally Rotating Smooth and Rib Roughened Test Sections Heated on One,

Two and Four Walls,‖ Thesis for Master of Science, Northeastern University, Boston, MA,

1992.

[11] Kline, S. J and McClintock, F. A., ―Calculating Uncertainty in Single- Sample

Experiments,‖ Mechanical Engineering, January 1953, pp. 3-8.

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70

Appendix A: Log sheets for each experiment

The log sheets are displayed in this order: Cold test and Heat transfer tests (which includes all pressure

increments 13, 26,40,54,69, and 80 psi)

The orders of these log sheets are:

Geomtry1: 9 crossover holes-11 exit holes, inline arrangement,0 degree tilt angle, no bleed

Geomtry2: 9 crossover holes-10 exit holes, staggered arrangement,0 degree tilt angle, no bleed

Geomtry3: 7 crossover holes-9 exit holes, inline arrangement,0 degree tilt angle, no bleed

Geomtry4: 7 crossover holes-10exit holes, staggered arrangement,0 degree, no bleed

9 crossover holes-11 exit holes, inline arrangement, 0 degree tilt, no bleed

Lab: 165EC

0.32 "

"Hg

Pven Tven Tin1 Tin2 Tamb Pplen Psup1 Psup2 Psup3 Pend1 Pend2 Man. Liquid Pamb ∆Pjet Tjet DP,orifice

5 58.8 70.3 71 77.1 0.292 0.288 0.293 0.284 0.139 0.143 water 30.19 0.138 70.2 0

10 59.7 69.3 69.4 77.1 0.467 0.442 0.451 0.45 0.217 0.217 water 30.19 0.226 69.1 0

15 59.2 66.6 66.7 76.9 0.643 0.612 0.624 0.618 0.307 0.307 water 30.19 0.316 66.5 0

20 61 68.2 67.9 76.8 0.876 0.821 0.842 0.693 0.342 0.342 water 30.19 0.349 67.7 0

25 61 67.3 67.2 77 2.8 2.65 2.66 2.7 1.4 1.3 orange 30.19 0.1 67.2 0

30 61.2 65.6 65.6 76.8 3.5 3.3 3.35 3.34 1.79 1.65 orange 30.19 0.11 65.6 0

40 61.2 64.6 64.5 76.9 5.1 4.8 5 5.05 2.5 2.4 orange 30.19 0.2 64 0

50 64.9 65.4 65.5 76.9 6.98 6.6 6.75 6.73 3.4 3.2 orange 30.19 0.2 65.2 0

60 67.3 64.9 65 76.8 9.15 8.65 8.8 8.9 4.5 4.3 orange 30.19 0.3 65.3 0

70 68.7 66.3 66.3 76.9 11.65 10.95 11.15 11.3 5.61 5.55 orange 30.19 0.33 66.3 0

80 72.4 68 68 76.9 14.32 13.5 13.75 13.9 7 6.8 orange 30.19 0.45 67.9 0

Bleed Valve : closed

Remarks: Micro-manometer(H₂O) readings should be multiplied by 2

Date: 01/21/2010 Changed Micro-manometer Fluid

COLD TEST

Trailing -Edge Test Section With Cross-Over Jets

Critical Venturi Throat Diameter: Cross-Over Hole Angle: 0˚

TE slot Arrangement: inline

Experimentalist : Sultan Al shehery

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71

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:01/26/2010

13 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 58.3 67.6 67.8 66.5 93.1 91.2 76.1 22.79 0.525 22.89 0.533 22.61 0.522 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

2a,b,c 58.5 66.8 67.5 66.2 96.1 93.2 76 23.79 0.547 23.85 0.555 23.8 0.544 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

3a,b,c 58.1 66.7 66.9 66.3 98 96 76.1 24.53 0.565 24.66 0.574 24.36 0.563 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

4a,b,c 57.6 65.9 66.9 66.4 99 98 76.1 25.33 0.583 25.44 0.591 25.13 0.58 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

5a,b,c 55.5 66.7 66.6 66.5 100.9 99.8 76.2 26.23 0.605 26.39 0.613 26.05 0.602 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

6a,b,c 54.8 65.9 66.9 66.3 101.9 100.7 76.4 27.01 0.622 27.13 0.63 26.8 0.619 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

7a,b,c 54.9 64.9 65 65 103.9 104.6 76.3 27.8 0.64 27.92 0.649 27.61 0.637 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

8a,b,c 54.6 64 65 65 106.1 105.3 76.3 28.36 0.653 28.45 0.662 28.13 0.649 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

9a,b,c 56 64.5 64.8 66.1 107.9 108.1 76.1 29.4 0.676 29.5 0.686 29.17 0.673 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

10a,b,c 53 64.5 65.3 65 111 109 76.1 30.38 0.699 30.46 0.708 30.11 0.695 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.53

11a,b,c 55 64.2 65.1 65 113 110.2 76.1 31.19 0.717 31.26 0.727 30.93 0.713 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

12a,b,c 55.7 64.4 64.8 66 116.2 113.3 76.3 32.11 0.737 32.19 0.748 31.51 0.727 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

13a,b,c 54.5 64.7 69.9 66 119.2 116.3 76.3 32.76 0.752 32.81 0.763 32.35 0.745 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

14a,b,c 55 64.5 64.7 65 123 120 76.3 33.62 0.772 33.71 0.783 33.07 0.762 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

15a,b,c 54 65.5 64.7 64 124 123 76.2 34.31 0.787 34.36 0.791 34.34 0.791 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

16a,b,c 54.7 63.9 63.9 64 127.7 123.4 76.2 35.15 0.807 35.22 0.81 35.19 0.81 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

17a,b,c 52.7 64.3 64.2 64 130.4 129.1 76.1 36.13 0.829 36.17 0.834 36.25 0.834 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

18a,b,c 55.2 64 64.1 65 133.4 135 76.1 37.32 0.856 37.32 0.866 37.15 0.853 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

19a,b,c 55.9 64.1 64.3 65 137.5 139.9 76.1 38.57 0.883 38.57 0.895 38.56 0.887 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

20a,b,c 53.9 64.5 64.7 65 146.7 142 76.1 41.81 0.957 39.56 0.918 41.46 0.951 orange 1.4 1.3 1.3 1.33 0.7 0.8 0 29.54

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date: 01/29/2010

26 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 59.5 65.9 66 65.7 95.3 99.9 76 25.66 0.591 25.56 0.595 25.66 0.592 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

2a,b,c 59.7 65.8 66 65.7 96.9 100.5 76.1 26.51 0.61 26.37 0.614 26.58 0.614 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

3a,b,c 59 65.9 65.9 65.7 97.7 102 75.8 27.49 0.633 27.4 0.638 27.62 0.638 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

4a,b,c 59.3 65.9 65.9 65.8 98.7 103.1 76 28.54 0.656 28.39 0.66 28.63 0.661 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

5a,b,c 58.7 65.7 65.7 65.7 99.9 104.7 75.9 29.36 0.676 29.23 0.68 29.47 0.68 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

6a,b,c 59.3 65.7 65.7 65.7 101.6 106.6 75.8 30.25 0.695 30.11 0.7 30.37 0.701 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

7a,b,c 59.8 65.7 65.9 65.7 104.4 109.8 75.6 31.25 0.719 31.17 0.725 31.44 0.725 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

8a,b,c 59.6 65.7 65.8 65.8 105.5 111.4 75.7 31.97 0.733 31.83 0.74 32.11 0.741 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

9a,b,c 59.4 65.8 64.8 65.7 108 112.8 75.6 32.97 0.757 32.81 0.763 33.09 0.763 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

10a,b,c 60.1 66 66 65.8 109.6 114.1 76 33.83 0.777 33.69 0.783 33.93 0.782 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

11a,b,c 61 66.2 66.2 65.2 111.9 116.3 75.9 34.62 0.795 34.51 0.802 34.81 0.801 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

12a,b,c 61.8 66.5 66.5 66.5 114 117.5 75.8 35.43 0.812 35.28 0.817 35.62 0.82 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

13a,b,c 62.2 66.8 66.8 66.8 116.5 119.5 76 36.34 0.834 36.24 0.842 36.51 0.84 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

14a,b,c 62.5 67.1 67.1 67.1 118.5 120.5 76 37.16 0.852 37.08 0.861 37.34 0.86 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

15a,b,c 63.3 67.5 67.5 67.5 121.5 123.7 76 38.41 0.88 38.32 0.889 38.57 0.888 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

16a,b,c 63.1 67.6 67.6 67.6 124.1 125.5 76.1 39.22 0.898 39.12 0.908 39.46 0.906 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

17a,b,c 63.9 67.7 67.7 67.7 125.8 128.7 76 40.06 0.918 39.87 0.925 40.22 0.925 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

18a,b,c 63.4 67.8 67.8 67.8 127.8 130.7 75.9 40.9 0.936 40.66 0.944 41.05 0.943 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

19a,b,c 64 67.9 67.9 67.9 130.1 136 76 41.97 0.96 41.73 0.967 42.19 0.963 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

20a,b,c 64.3 68.1 68.1 68.1 133.9 132.1 76 43.09 0.986 42.88 0.994 43.33 0.994 water 0.975 0.924 0.948 0.948 0.475 0.455 0 30

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

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72

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inlie

SULTAN AL SHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:5/24/2010

40 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 68.6 67.7 68.1 68.7 90.3 90.7 73.1 25.7 0.5929 25.64 0.5973 25.68 0.5948 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.3

2a,b,c 67.7 67.7 68 68.5 91.4 91.3 72.5 26.76 0.6165 26.62 0.6204 26.78 0.6197 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.3

3a,b,c 67.7 67.5 67.8 68.2 91.7 91.9 72 27.82 0.6406 27.69 0.645 27.75 0.6424 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.3

4a,b,c 67.9 67.4 67.7 68.2 93.1 93.1 72 28.84 0.6644 28.73 0.669 28.81 0.6666 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.3

5a,b,c 67.7 67.3 67.6 68.1 93.8 94.4 72.1 29.91 0.6888 29.79 0.6928 29.89 0.6911 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.3

6a,b,c 68.4 67.3 67.5 68 94.9 95.6 72.1 30.93 0.7118 30.79 0.7171 30.94 0.7152 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.3

7a,b,c 68.4 67.4 67.8 68.1 96.5 97.5 72.1 31.97 0.7353 31.82 0.7411 31.98 0.739 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.3

8a,b,c 68 67.4 67.7 68.1 98.1 98.9 72.1 33.14 0.7625 33.01 0.7684 33.17 0.7658 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.29

9a,b,c 68 67.4 67.8 68 99.7 100.7 71.5 34.11 0.784 34.11 0.7933 34.11 0.7882 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.29

10a,b,c 68.2 67.3 67.7 67.9 102.2 102.6 72.4 35.19 0.8087 35.22 0.8196 35.25 0.8139 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.29

11a,b,c 68.1 67 67.3 67.7 103.8 104.7 73 36.39 0.8353 36.42 0.8468 36.4 0.8409 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.29

12a,b,c 68.1 67 67.3 67.7 106.1 106.9 73 37.55 0.8622 37.55 0.8704 37.57 0.8676 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.29

13a,b,c 67.9 67 67.3 67.6 108.5 109.4 73.1 38.62 0.8838 38.62 0.8974 38.66 0.8914 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.29

14a,b,c 67.8 67 67.3 67.7 110.3 111.3 72.9 39.65 0.9091 39.62 0.9211 39.68 0.9149 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.29

15a,b,c 68.1 67.2 67.4 67.8 113.1 114.4 71.8 40.97 0.9391 40.95 0.9516 41.02 0.9443 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.27

16a,b,c 67.4 67.1 67.3 67.7 116.2 117.3 71.8 42.03 0.9679 42.03 0.9761 42.23 0.9733 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.27

17a,b,c 67.8 66.7 67 67.4 118.1 119.1 70.9 42.26 0.9918 43.12 1.0016 43.39 0.9988 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.27

18a,b,c 67.4 66.6 66.9 67.4 121.1 122.2 72.3 44.62 1.0214 44.4 1.0311 44.68 1.0277 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.27

19a,b,c 68 66.6 66.9 67.4 124.3 125.4 73.1 46.41 1.0611 46.15 1.071 46.42 1.0662 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.27

20a,b,c 68.4 67.4 67.4 67.7 128.1 129.6 73.2 48.05 1.0976 47.8 1.1088 48.09 1.1055 orange 5 4.8 4.9 4.9 2.5 2.4 0 30.27

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

SULTAN ALSHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date: 02/21/2010

56 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 60.5 65.2 65.5 65.1 87.8 100.1 75.8 31.24 0.721 31.04 0.7232 31.06 0.7179 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

2a,b,c 60 64 64.6 64.6 87.9 100.9 75.9 32.6 0.7522 32.4 0.7541 32.51 0.7508 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

3a,b,c 60.3 63.9 64 64 88.9 102.6 76.2 33.88 0.7813 33.71 0.7856 33.73 0.7799 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

4a,b,c 60.3 63.7 63.9 63.9 89.3 104.5 76.2 35.07 0.8081 34.9 0.8121 34.95 0.8086 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

5a,b,c 60.2 63.4 63.5 63.5 90.6 106.3 76.2 36.29 0.8367 36.08 0.8396 36.21 0.8354 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

6a,b,c 60.1 63.4 63.6 63.3 91.7 107.2 76.1 37.49 0.8641 37.29 0.8675 37.4 0.8639 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

7a,b,c 60 62.9 63 63 93 109.3 75.9 38.67 0.8902 38.44 0.895 38.66 0.8913 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

8a,b,c 60.2 62.9 63.2 62.9 94.8 112.9 75.9 39.98 0.9208 39.75 0.9251 39.87 0.9199 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

9a,b,c 60 62.7 62.2 62.9 96 113.9 75.9 41.21 0.9484 40.99 0.9538 41.17 0.9491 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

10a,b,c 60 62 62 62 97.6 118 76.1 42.53 0.9781 42.25 0.9833 42.35 0.9758 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.76

11a,b,c 60.3 62 62 63 99 120 75.9 43.71 1.0054 43.46 1.012 43.56 1.0015 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

12a,b,c 60.1 62.2 62.2 62.2 101 123 75.9 45.08 1.0361 44.79 1.0404 44.98 1.0375 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

13a,b,c 60.1 62.2 62.2 62.2 102.2 125.3 75.9 46.36 1.0646 46.12 1.0708 46.32 1.066 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

14a,b,c 60.1 62.1 62.1 62.1 105.4 129.7 75.9 47.5 1.0902 47.25 1.0978 47.45 1.0981 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

15a,b,c 60 62.3 62.3 62.3 107 133 75.8 49 1.1224 48.76 1.1312 48.97 1.1256 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

16a,b,c 60 62.7 62.7 62.7 109 135.7 75.9 50.05 1.1469 49.83 1.1557 50 1.1487 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

17a,b,c 60.1 63 63 63 110.9 137.6 75.8 51.21 1.1727 51 1.1831 51.22 1.1764 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

18a,b,c 60 62.6 62.6 62.6 113.6 141.5 76 52.6 1.2038 52.29 1.2115 52.48 1.2049 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

19a,b,c 59.9 62.6 62.6 62.6 116.2 146.7 75.9 54.18 1.2394 53.92 1.2502 54.05 1.2407 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

20a,b,c 59.9 62.5 62.5 62.5 119.4 151.7 76 56.2 1.286 55.94 1.2965 56.17 1.2866 orange 8.3 7.9 8 8.1 4.1 3.95 0 29.74

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 76: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

73

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

SULTAN AL SHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date: 02/21/2010

69 Psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 61 64 64.3 64.3 85.3 94.1 75.8 33.23 0.7664 33.13 0.7718 33.41 0.7728 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

2a,b,c 61.9 63.7 63.9 63.9 86 95.1 75.9 34.56 0.7971 34.49 0.8035 34.7 0.8025 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

3a,b,c 61.8 63.7 63.9 63.9 86.9 96.1 75.7 35.89 0.8274 35.8 0.8336 36.12 0.8347 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

4a,b,c 62 63.5 63.8 63.8 87.6 98.1 75.8 37.36 0.8611 37.29 0.8683 37.55 0.8869 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

5a,b,c 62.9 63.5 63.8 63.8 89 99.7 76.1 38.62 0.8904 38.58 0.8975 38.86 0.8974 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

6a,b,c 61.9 63.5 63.8 63.8 90.7 101.5 76.1 39.93 0.9193 39.87 0.9276 40.16 0.9269 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

7a,b,c 61.8 63.5 63.8 63.8 91.7 103.8 76.1 41.27 0.9505 41.26 0.9595 41.51 0.9577 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

8a,b,c 61.8 63.3 63.6 63.6 93.1 104.8 75.9 42.67 0.9861 42.63 0.9914 42.94 0.9903 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

9a,b,c 62 63.3 63.6 63.6 95.2 107.9 76 44.08 1.0129 43.95 1.0211 44.29 1.021 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

10a,b,c 62.1 63.3 63.5 63.5 96.3 109.5 76.2 45.38 1.0434 45.32 1.0528 45.63 1.0515 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

11a,b,c 62.6 63.3 63.5 63.5 98.1 110.9 75.6 46.69 1.0736 46.62 1.083 47.02 1.0838 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

12a,b,c 61.9 63 63.3 63.3 99.6 113.2 76 48.08 1.1045 48.01 1.1149 48.48 1.1161 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

13a,b,c 61.5 62.8 63 63 101.2 115.3 76 49.47 1.1355 49.39 1.1471 49.8 1.1445 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

14a,b,c 62 63 63.2 63.2 103.2 117.7 75.9 50.75 1.1636 50.66 1.1758 51.15 1.1758 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

15a,b,c 62.6 63.2 63.3 63.3 105.5 120 76 52.12 1.1956 52.08 1.209 52.52 1.2077 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

16a,b,c 62 63 63.3 63.3 107 122.5 76 53.51 1.2259 53.41 1.2386 53.89 1.2381 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

17a,b,c 62 63 63.3 63.3 109 124.7 75.9 54.93 1.2582 54.84 1.2725 54.94 1.26002 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

18a,b,c 62 62.9 63 63 110.9 126.2 76.1 56.21 1.2868 56 1.3001 56.22 1.2902 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

19a,b,c 62.7 63 63.2 63.2 113.3 129.6 75.8 57.36 1.3138 57.33 1.3297 57.52 1.3183 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

20a,b,c 62 63 63.1 63.1 115.2 131.4 76 58.19 1.332 58.11 1.3474 58.32 1.3371 orange 11.6 10.9 11.2 11.2 5.15 5.54 0 29.8

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

SULTAN AL SHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date: 02/21/2010

80 Psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 64 63.9 64 64 83.1 87 76.1 34.22 0.7895 34.22 0.7971 34.1 0.7889 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

2a,b,c 63.5 63.5 63.9 63.9 83.7 87.5 76 35.44 0.8174 35.41 0.8248 35.31 0.8163 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

3a,b,c 63 63.5 63.7 63.7 85 88.2 76.1 36.78 0.8493 36.81 0.8571 36.71 0.8492 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

4a,b,c 63.2 63.5 63.7 63.7 85.9 89.7 76 38.28 0.8823 38.24 0.8898 38.12 0.881 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

5a,b,c 64 63.5 63.6 63.6 86.3 90.6 75.8 39.67 0.914 39.65 0.922 39.54 0.9132 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

6a,b,c 64.1 63.5 63.6 63.6 87.5 92.4 75.8 41.04 0.9451 41.02 0.9543 40.94 0.9455 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

7a,b,c 64 63.6 63.8 63.8 88.3 94 76.1 42.35 0.975 42.32 0.9845 42.2 0.9746 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

8a,b,c 64 63.5 63.6 63.6 90.3 96.5 76 43.78 1.0067 43.76 1.0178 43.69 1.0073 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

9a,b,c 64 63.5 63.6 63.6 91.3 97.4 76 45.15 1.0389 45.1 1.0475 45.19 1.0423 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

10a,b,c 64.1 63.4 63.5 63.5 93 99.5 76 46.57 1.0711 46.51 1.0802 46.55 1.0735 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

11a,b,c 64 63.5 63.5 63.5 95.1 102.1 75.9 47.94 1.1018 47.87 1.1126 47.97 1.1048 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

12a,b,c 64 63.5 63.7 63.7 96.7 103.1 76 49.34 1.1319 49.28 1.1444 49.31 1.1357 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

13a,b,c 64 63.7 63.9 63.9 98.3 104.3 75.9 50.54 1.1607 50.56 1.1737 50.58 1.1636 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

14a,b,c 63.7 63.7 63.7 63.7 100 106.3 76 52.04 1.1987 51.91 1.2035 52.05 1.1973 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

15a,b,c 63.9 63.5 63.7 63.7 102.2 109.9 76 53.56 1.2281 53.46 1.2421 53.68 1.2336 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

16a,b,c 64 63.5 63.5 63.5 103.8 111.6 75.9 55.04 1.2625 55.03 1.2761 55.11 1.267 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

17a,b,c 64 63.4 63.5 63.5 106.2 115 76 56.49 1.2941 56.52 1.3106 56.56 1.2989 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

18a,b,c 63.7 63.5 63.5 63.5 108 116.2 76 57.61 1.3195 57.66 1.3347 57.9 1.3292 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

19a,b,c 64 63.5 63.6 63.6 109.7 119 75.9 58.94 1.349 58.94 1.3662 58.32 1.3597 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

20a,b,c 63.9 63.5 63.6 63.6 110.9 120 76 60.53 1.3841 60.52 1.4027 60.85 1.3965 orange 14.6 13.8 14.2 14.2 7.15 6.9 0 29.8

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 77: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

74

9 crossover holes-10 exit holes, staggered arrangement, 0 degree tilt, no bleed

Lab: 165EC

0.32 "

"Hg

Pven Tven Tin1 Tin2 Tamb Pplen Psup1 Psup2 Psup3 Pend1 Pend2 Man. Liquid Pamb ∆Pjet Tjet DP,orifice

5 69 74 74.3 73.3 0.348 0.338 0.343 0.345 0.201 0.201 water 29.65 0.202 73.6 0

10 68.4 72.5 72.8 73.4 0.559 0.532 0.536 0.544 0.321 0.314 water 29.65 0.318 73.2 0

15 70 71.7 72 72.6 0.789 0.744 0.764 0.771 0.455 0.447 water 29.63 0.459 72.3 0

20 64.8 71.3 71.8 73.5 2.6 2.5 2.55 2.55 1.55 1.5 orange 29.63 0.2 71.5 0

25 68.4 69.4 70 73 3.4 3.3 3.35 3.35 2 1.95 orange 29.63 0.25 70.2 0

30 67.9 68.4 67.7 72.4 4.4 4.2 4.25 4.3 2.5 2.5 orange 29.63 0.3 68.4 0

40 71.2 65.2 65.9 73.3 6.4 6.1 6.2 6.2 3.7 3.75 orange 29.63 0.4 66.2 0

50 74.8 64.3 64.8 72.7 8.7 8.3 8.4 8.4 5.1 5 orange 29.63 0.5 64.9 0

60 78.3 63.9 64.3 73.2 11.3 10.8 11 11 6.5 6.6 orange 29.61 0.6 64.5 0

70 80.9 63.4 63.6 72.7 14.3 13.6 13.9 13.9 8.3 8.2 orange 29.61 0.7 63.7 0

80 84.9 65.5 65.8 73.4 17.4 16.6 17 17 10.1 10 orange 29.61 0.8 66.1 0

Sultan Al shehery Bleed Valve : closed

Remarks: Micro-manometer(H₂O) readings should be multiplied by 2

Date:06\24\2010

COLD TEST

Trailing -Edge Test Section With Cross-Over Jets

Critical Venturi Throat Diameter: Cross-Over Hole Angle: 0˚

TE slot Arrangement: stagger

Experimentalist :

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date: 6\28\2010

13 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 70.1 72.9 72.8 73 101.2 91.8 73 19.53 0.4471 19.81 0.4582 19.81 0.4582 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.51

2a,b,c 70.4 72.2 72.5 72.8 105.1 94.3 73.2 20.43 0.4704 20.59 0.4793 20.62 0.4758 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.51

3a,b,c 70.6 72.2 72.4 72.8 106.6 95.6 72.6 21.12 0.4867 21.33 0.497 21.41 0.4941 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.51

4a,b,c 70.8 72.2 72.5 72.7 108.9 96.8 72.8 22.25 0.5136 22.34 0.5203 22.36 0.5153 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.51

5a,b,c 71.8 72.9 72.5 72.9 113 99.5 73.3 23.17 0.5341 23.14 0.5384 23.07 0.5333 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

6a,b,c 71.2 72.4 72.7 72.9 117.1 101.1 72.7 24.09 0.5536 24.08 0.5604 24.11 0.5573 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

7a,b,c 70.7 72.3 72.5 72.8 120.8 103.4 72.7 24.88 0.5721 24.92 0.5798 24.99 0.577 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

8a,b,c 70.9 72.5 72.7 72.9 126 106.3 73.3 26.03 0.5991 26 0.6044 26.08 0.602 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

9a,b,c 71.1 72.4 72.6 72.9 131.3 108.3 72.9 26.81 0.6171 26.83 0.6242 26.93 0.6214 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

10a,b,c 71.2 72.4 72.7 72.9 134.1 110.6 72.6 27.54 0.6332 27.56 0.6411 27.7 0.6391 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

11a,b,c 71.2 72.3 72.5 72.8 139.3 112.6 72.6 28.38 0.6519 28.42 0.6611 28.52 0.6579 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

12a,b,c 71.7 72.4 72.6 72.9 143.4 115.6 73.2 29.35 0.6738 29.38 0.6835 29.54 0.6811 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

13a,b,c 71 72.5 72.6 72.9 150.3 118 72.7 30.44 0.6984 30.37 0.7061 30.5 0.7032 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

14a,b,c 70.7 72.4 72.6 72.8 156.1 121 72.8 31.35 0.7185 31.33 0.7276 31.48 0.7257 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

15a,b,c 71.2 72.2 72.4 72.8 160.1 122.9 73.1 32.29 0.74 32.23 0.7486 32.35 0.7451 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

16a,b,c 70.7 72.4 72.6 72.8 166 126.2 73.4 33.33 0.7622 33.26 0.7728 33.38 0.7688 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

17a,b,c 70.6 72.4 72.5 72.7 172.2 128.7 72.7 34.11 0.7809 34.15 0.793 34.26 0.7882 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

18a,b,c 70.4 72.2 72.4 72.7 178.9 131.5 72.7 34.81 0.7962 34.81 0.8082 35.01 0.804 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

19a,b,c 71.1 72.2 72.3 72.6 183.5 133.2 73.1 35.33 0.8077 35.11 0.8121 35.29 0.809 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

20a,b,c 71.2 72.2 72.4 72.7 189.4 135.9 72.8 36.09 0.826 35.95 0.8353 36.22 0.8312 water 0.694 0.651 0.675 0.675 0.392 0.395 0 29.52

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 78: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

75

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:06\28\2010

26 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 71.7 66.1 66.5 66.5 104.6 97.2 72.5 23.74 0.5463 23.77 0.5538 23.78 0.5505 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.54

2a,b,c 67.7 65.8 66.4 66.4 104.7 97.4 72.7 24.62 0.5665 24.6 0.5721 24.61 0.5681 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.54

3a,b,c 67.7 65.2 65.9 66.2 105.4 97.5 73.4 25.35 0.5819 25.35 0.59 25.26 0.5831 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.54

4a,b,c 67.6 65.6 66.2 66.1 106.7 98 72.8 26.06 0.6001 26.06 0.6071 25.97 0.5999 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.54

5a,b,c 70 65.6 66.3 66.2 108 99 72.5 26.88 0.617 26.78 0.6235 26.77 0.6182 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.54

6a,b,c 70 65.9 66.4 66.5 110.5 100.6 72.9 27.52 0.6332 27.55 0.6419 27.52 0.6357 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.54

7a,b,c 68.4 66 66.6 66.8 113.5 102.3 73.3 28.36 0.6512 28.33 0.66 28.3 0.6544 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

8a,b,c 69.3 65.9 66.4 66.4 115.6 104 73 29.15 0.6791 29.14 0.6776 29.11 0.6721 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

9a,b,c 68.5 65.8 66.4 66.4 117.3 105.6 72.6 30.08 0.6919 29.94 0.6971 29.93 0.6906 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

10a,b,c 69.4 65.5 66 66.1 120.9 108 72.7 30.79 0.7075 30.76 0.751 30.75 0.7095 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

11a,b,c 71 65.6 66 66 124 110.2 72.9 31.72 0.7284 31.71 0.7374 31.56 0.7283 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

12a,b,c 72 66.4 66.8 67 127.3 111.7 73.3 32.61 0.7479 32.59 0.7585 32.52 0.7507 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

13a,b,c 68.7 66.6 67.2 67.3 130.2 114.4 72.7 33.53 0.7685 33.41 0.7772 33.4 0.7691 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

14a,b,c 69.4 66.2 66.6 66.5 135.2 117.6 72.8 34.63 0.7915 34.51 0.8023 34.47 0.7941 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

15a,b,c 68.7 65.6 66 66 142.7 121.8 73.3 35.87 0.8231 35.83 0.8331 35.88 0.8263 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

16a,b,c 68.3 65.7 66.2 66.2 146.8 124.2 72.4 36.83 0.8446 36.78 0.8544 36.77 0.8468 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

17a,b,c 70.5 65.6 66.1 66.1 152.3 127.3 72.6 38.14 0.8724 38.05 0.8836 37.94 0.8735 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

18a,b,c 67.9 66.4 66.8 66.6 158.5 130.7 73.3 39.53 0.9013 39.34 0.9131 39.31 0.9039 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

19a,b,c 67.5 65.4 66 66.2 167.8 135.3 72.9 41.77 0.9554 41.42 0.9618 41.52 0.9542 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

20a,b,c 70.6 65.6 66.1 66.4 177.5 140.3 72.7 43.38 0.9913 43.11 0.999 43.11 0.9904 orange 3.5 3.4 3.4 3.45 2.1 2 0 29.55

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inlie

SULTAN AL SHEHERY stagger

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:6\29\2010

40 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 72 68.2 68.4 68.5 96.8 89.6 73.1 25.7 0.593 25.78 0.6008 25.18 0.5971 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

2a,b,c 73.2 68.3 68.6 68.6 98.7 90.8 72.9 26.7 0.6166 26.76 0.6231 26.87 0.6212 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

3a,b,c 72.7 68.2 68.5 68.6 99.9 91.7 73.2 28.18 0.6484 28.18 0.6575 28.11 0.6502 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

4a,b,c 72.9 68.4 68.7 68.9 102.3 93.6 73.2 29.38 0.6744 29.34 0.6831 29.24 0.6765 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

5a,b,c 72 68.4 68.7 68.9 104.4 95.3 72.7 30.75 0.7067 30.66 0.7144 30.5 0.7047 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

6a,b,c 71.7 68.2 68.5 68.6 107.2 97.5 73.3 31.96 0.7331 31.94 0.7441 31.84 0.7356 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

7a,b,c 72.6 68.1 68.4 68.5 110 99.6 73.4 33.31 0.7652 33.24 0.7738 33.13 0.7651 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

8a,b,c 73.3 68.2 68.5 68.6 116.5 103.4 73.4 34.64 0.7947 34.6 0.8045 34.53 0.7971 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

9a,b,c 72.7 68.3 68.6 68.7 118.2 104.9 73.4 35.83 0.8216 35.7 0.8311 35.63 0.8211 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

10a,b,c 72.2 68 68.3 68.5 120.8 107.2 72.6 37.12 0.8514 37.03 0.8615 36.91 0.8511 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.72

11a,b,c 72 67.7 68 68.3 126 110.5 73.2 38.49 0.8828 38.4 0.8926 38.27 0.882 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

12a,b,c 71.9 67.8 68.1 68.2 129.9 113.6 73.4 39.71 0.9075 39.68 0.9223 39.57 0.911 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

13a,b,c 72.5 67.8 68.1 68.2 135.5 116.7 73 40.96 0.9369 40.88 0.9502 40.72 0.9387 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

14a,b,c 71.7 67.5 67.8 67.9 140.9 120 73.4 41.94 0.9586 41.93 0.9738 41.8 0.9615 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

15a,b,c 72.5 67.5 67.8 67.9 145.3 122.4 72.7 43.01 0.9832 42.94 0.9969 42.85 0.9866 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

16a,b,c 72.2 67.2 67.4 67.6 150.3 126.2 73.1 44.24 1.0104 44.19 1.0266 44.11 1.0145 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

17a,b,c 72.4 67.3 67.5 67.7 155.5 128.5 73.3 45.56 1.0395 45.47 1.0552 45.42 1.043 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

18a,b,c 72.4 67.2 67.5 67.6 159.1 130.1 72.9 46.54 1.0619 46.26 1.0734 46.41 1.0664 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

19a,b,c 72.1 67.4 67.7 68 164.8 132.3 72.9 47.48 1.0823 47.23 1.0966 47.58 1.0919 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

20a,b,c 72.7 67.1 67.5 67.5 170.1 135.7 73.5 48.54 1.1059 48.22 1.1189 48.41 1.1111 orange 6.15 5.9 5.9 5.8 3.5 3.5 0 29.73

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 79: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

76

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

SULTAN ALSHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:6\30\2010

54 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 70.3 67.3 67.6 67.7 82.1 81.1 72.3 28.05 0.648 27.9 0.6506 27.8 0.6433 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

2a,b,c 71.1 67.3 67.7 67.8 88.4 84 72.8 29 0.668 29.04 0.6767 29.12 0.6741 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

3a,b,c 71.4 68.1 68.4 68.4 92.7 86.8 73.3 30.01 0.6941 29.98 0.6981 30.09 0.6956 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

4a,b,c 72 68 68.4 68.5 95 88.2 73 31.21 0.7188 31.08 0.7245 31.21 0.7212 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

5a,b,c 72.5 68.3 68.6 68.9 98.3 90.2 72.8 32.27 0.739 32.2 0.7484 32.3 0.746 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

6a,b,c 72.3 68.7 68.9 69.1 100.7 91.6 73.2 33.28 0.7651 33.25 0.7738 33.34 0.7704 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

7a,b,c 72.4 68.9 69.1 69.3 103.5 93.5 73.5 34.27 0.7845 34.25 0.7977 34.39 0.7941 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

8a,b,c 72.3 69 69.2 69.3 106.2 95.2 73.5 35.36 0.8131 35.3 0.8218 35.39 0.8178 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

9a,b,c 72.5 69 69.2 69.4 108.6 96.8 72.8 36.22 0.8327 36.11 0.8411 36.27 0.8378 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

10a,b,c 72.4 69.1 69.3 69.5 111.2 98.6 73.1 37.36 0.8599 37.36 0.8694 37.49 0.8654 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

11a,b,c 77.6 69.1 69.3 69.5 114.5 101.1 73.4 38.54 0.8826 38.4 0.8937 38.56 0.8893 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

12a,b,c 73 69 69.2 69.5 117.9 102.6 73.4 39.53 0.9053 39.45 0.9168 39.57 0.9119 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

13a,b,c 72.7 69 69.2 69.5 121 105 73.1 40.87 0.9366 40.76 0.9466 40.88 0.9427 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

14a,b,c 73.5 69.1 69.3 69.6 124.4 106.9 73.1 41.91 0.9614 41.83 0.9731 42.06 0.9683 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

15a,b,c 73.7 69.3 69.5 69.7 127.6 109.5 73.5 43.12 0.9865 43.07 1.0003 43.2 0.9952 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

16a,b,c 73 69.5 69.7 69.8 132.4 112 73.1 44.33 1.0162 44.26 1.0282 44.46 1.0239 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

17a,b,c 73.3 69.3 69.5 69.7 135.8 114.6 73 45.57 1.0419 45.39 1.0548 45.59 1.0476 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

18a,b,c 73 69.2 69.4 69.6 141 116.8 73.5 46.66 1.0625 46.51 1.08 46.71 1.0748 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

19a,b,c 73.3 69.2 69.4 69.6 143.7 119.3 73.4 47.56 1.087 47.35 1.0992 47.51 1.0947 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

20a,b,c 73 68.9 69.1 69.4 147.8 121.3 73.1 48.77 1.1116 48.62 1.1283 48.84 1.1218 orange 9.6 9.2 9.35 9.4 5.6 5.5 0 29.98

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

SULTAN AL SHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:6\30\2010

69 Psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 76.9 69.3 69.4 69.6 98.5 84.4 73.1 29.88 0.6877 29.69 0.6923 29.94 0.6941 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

2a,b,c 76.9 69.9 70 70.2 99.8 85.6 73.4 30.93 0.716 30.93 0.7209 30.98 0.7166 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

3a,b,c 76.7 70 70.1 70.3 101.3 86.9 73 31.8 0.7311 3.74 0.7398 31.83 0.7363 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

4a,b,c 76.7 69.8 69.9 70.2 102.5 87.6 72.9 32.7 0.7546 32.68 0.7617 32.77 0.7578 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

5a,b,c 76.6 69.7 69.8 70.2 104 88.9 73.3 33.79 0.7762 33.79 0.7869 33.88 0.7817 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

6a,b,c 77 69.9 70.1 70.3 106 90.4 73.5 34.82 0.8005 34.83 0.8107 34.88 0.8059 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

7a,b,c 77.1 69.8 69.9 70 107.4 91.7 73.2 35.94 0.8251 35.84 0.834 35.89 0.8295 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

8a,b,c 77 69.8 69.9 70.1 109.6 93 73 36.83 0.8466 36.82 0.857 36.87 0.8511 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

9a,b,c 77 69.6 69.7 69.9 111.8 94.6 73.3 37.9 0.8707 37.82 0.8805 37.93 0.8757 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

10a,b,c 77.5 69.8 69.9 70 113.6 95.8 73.4 38.93 0.8936 38.91 0.904 38.93 0.8995 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

11a,b,c 77.5 70 70.1 70.3 115.5 97.5 73.2 39.91 0.9161 39.83 0.9262 39.98 0.9214 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

12a,b,c 77.3 69.9 70 70.3 118.2 99.5 72.6 40.94 0.9381 40.86 0.9504 41 0.9441 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

13a,b,c 77.6 69.8 69.9 70.2 121.4 101.4 73.2 42 0.9629 41.9 0.973 41.91 0.966 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

14a,b,c 77.1 70 70.1 70.3 123.6 103.2 73.5 43.12 0.992 43.16 1.0039 43.17 0.9942 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

15a,b,c 76.8 69.7 69.8 70 127.1 105.4 73.1 44.6 1.0212 44.53 10.337 44.52 1.0255 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

16a,b,c 77 69.6 69.7 69.9 130.5 107.5 72.7 45.62 1.0416 45.49 1.0577 45.56 1.0488 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

17a,b,c 76.7 69.6 69.7 70 133 109.3 73.2 46.53 1.0657 46.42 1.0792 46.47 1.0698 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

18a,b,c 77 69.2 69.4 69.7 135.4 110.7 73.4 47.57 1.0882 47.48 1.1033 47.55 1.0939 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

19a,b,c 77.3 69.6 69.7 69.8 138.4 113.1 73.3 48.48 1.1061 48.33 1.1131 48.38 1.1131 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

20a,b,c 77.3 69.4 69.6 69.9 142.6 115.3 72.7 49.9 1.1409 49.87 1.1476 49.89 1.1476 orange 13.85 13.3 13.5 13.55 8 7.9 0 29.98

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 80: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

77

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

SULTAN AL SHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:7\01\2010

80 Psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 74.4 68.8 69.1 69.2 87.1 80.6 71 31.32 0.7209 31.26 0.7288 31.32 0.7254 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

2a,b,c 75.9 69 69.2 69.4 92.3 82.7 70.4 32.32 0.7446 32.26 0.7514 32.37 0.749 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

3a,b,c 75.5 69.1 69.3 69.6 94.4 84 71.9 33.33 0.768 33.28 0.7749 33.4 0.7719 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

4a,b,c 76.5 69.6 69.7 69.9 96.9 85.2 72.6 34.37 0.7906 34.37 0.8001 34.47 0.7955 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

5a,b,c 77 69.9 71.2 70.3 102.3 87.7 73.2 35.36 0.8158 35.42 0.8238 35.26 0.8141 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

6a,b,c 77.4 70.1 70.3 70.6 104.8 88.8 73.3 36.41 0.8371 36.34 0.8462 36.22 0.8369 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

7a,b,c 77.1 70.2 70.3 70.7 106.7 89.8 73.3 37.24 0.8532 37.22 0.866 37.11 0.8562 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

8a,b,c 77.6 70.4 70.5 70.7 109.2 91.4 73.4 38.34 0.8814 38.33 0.8928 38.32 0.8848 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

9a,b,c 76.7 69.6 69.9 70.3 112.6 93.2 71.1 39.44 0.9048 39.46 0.9188 39.52 0.9121 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

10a,b,c 77.6 69.6 69.7 70.2 114.3 94.2 71.3 40.45 0.9284 40.38 0.939 40.47 0.9339 orange 17.4 16.7 16.9 17 10.1 10 0 30.03

11a,b,c 77.4 69.8 70 70.4 116.5 95.3 71.2 41.2 0.9453 41.08 0.9556 41.21 0.9499 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

12a,b,c 77 69.3 69.4 69.6 118.4 96.5 74 42.2 0.9673 42.12 0.9795 42.19 0.9739 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

13a,b,c 77.7 69.8 69.9 70.2 123.3 99 72.9 43.21 0.9903 43.09 1.0005 43.31 0.9978 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

14a,b,c 78.3 69.8 69.9 70.2 125.5 100.5 73.3 44.55 1.0225 44.59 1.0372 44.65 1.0294 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

15a,b,c 77.7 69.8 70 70.3 127.7 101.5 73.4 45.34 1.0388 45.31 1.0528 45.26 1.0424 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

16a,b,c 78.1 70 70.1 70.4 129.7 103 73.5 46.3 1.0598 46.39 1.0782 46.31 1.065 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

17a,b,c 78 70.2 70.4 70.8 132.4 104.8 73.4 47.34 1.083 47.38 1.1015 47.43 1.0911 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

18a,b,c 78 70.1 70.3 70.6 135.6 107 73.5 48.86 1.1171 48.91 1.134 48.98 1.1289 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

19a,b,c 77.8 70.3 70.5 70.7 138.2 108.6 72.2 49.85 1.1383 49.77 1.1559 49.95 1.1488 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

20a,b,c 77.9 70 70.2 70.5 141.1 110.6 71.1 50.89 1.1621 50.86 1.1788 50.99 1.1721 orange 17.4 16.7 16.9 17 10.1 10 0 30.02

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

7 crossover holes-9 exit holes, inline arrangement, 0 degree tilt, no bleed

Lab: 165EC

0.32 "

"Hg

Pven Tven Tin1 Tin2 Tamb Pplen Psup1 Psup2 Psup3 Pend1 Pend2 Man. Liquid Pamb ∆Pjet Tjet DP,orifice

5 56.8 66.6 67.6 73.7 0.15 0.141 0.14 0.14 0.035 0.04 water 30.21 0.05 67.1 0

10 55.8 66.5 67.2 72.9 0.46 0.433 0.441 0.445 0.166 0.185 water 30.21 0.2 67.2 0

15 55.3 65.5 66.1 72.6 0.796 0.77 0.776 0.779 0.352 0.343 water 30.21 0.365 66.1 0

20 55.3 64.2 64.9 73.3 2.9 2.8 2,8 2.8 1.4 1.4 orange 30.21 0.1 65 0

25 55.7 63.3 64.1 73.2 3.9 3.8 3.8 3.8 1.9 1.8 orange 30.21 0.1 64.1 0

30 53.6 62.9 63.7 73.8 4.9 4.7 4.8 4.8 2.3 2.3 orange 30.21 0.1 63.8 0

40 55.2 58.5 59.5 73.2 7.4 7.2 7.2 7.3 3.5 3.4 orange 30.21 0.2 59.5 0

50 57.3 59.3 60 73.3 10.2 9.9 10 10.1 4.8 4.8 orange 30.21 0.3 60 0

60 58.6 58.1 58.6 73.5 13.4 13 13 13.2 6.4 6.3 orange 30.21 0.4 58.6 0

70 60 57.8 58.3 72.7 17.1 16.5 16.8 16.9 8.2 8 orange 30.21 0.5 58.3 0

80 60.9 58.8 59.2 73.4 21.4 20.5 20.7 21 10.4 10.3 orange 30.21 0.6 59.4 0

Remarks: Micro-manometer(H₂O) readings should be multiplied by 2

Date: 01/25/2011

COLD TEST

Trailing -Edge Test Section With Cross-Over Jets

Critical Venturi Throat Diameter: Cross-Over Hole Angle: 0˚

TE slot Arrangement: inline

Experimentalist : Sultan Al shehery Bleed Valve : closed

Page 81: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

78

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:01/25/2010

13 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 58.1 66.9 67.5 67.6 81 80 73.2 15.99 0.36748 24.33 0.564685 16.31 0.375776 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

2a,b,c 57.8 66.7 64.4 67.5 81.2 80.1 74 16.69 0.383567 25.36 0.58859 16.47 0.379462 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

3a,b,c 57.9 66.7 67.2 67.4 81.7 80.4 73.5 17.28 0.397127 26.28 0.609943 17.33 0.399276 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

4a,b,c 58 66.7 67.3 67.4 81.7 80.6 73.2 17.94 0.412295 27.27 0.63292 18.1 0.417017 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

5a,b,c 58 66.4 67.1 67.3 81.8 80.8 73.1 18.53 0.425854 28.17 0.653809 19.03 0.438444 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

6a,b,c 57.7 66.3 67.1 67.2 81.9 81.2 73.8 19.67 0.452053 29.14 0.676322 19.61 0.451807 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

7a,b,c 58.1 66.4 67.1 67.1 81.9 81.3 73.6 20.53 0.471818 30.45 0.706726 20.37 0.469317 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

8a,b,c 58.3 66.3 67.9 67.1 82.1 81.5 73.5 21.25 0.488365 31.39 0.728543 22.26 0.512862 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

9a,b,c 57.8 66.2 66.9 66.9 82.3 81.7 73.7 22.92 0.526744 32.33 0.75036 23.03 0.530602 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

10a,b,c 57.5 66.1 66.8 66.7 83 81.9 74 24.63 0.566043 33.22 0.771016 26.14 0.602255 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.4

11a,b,c 57.7 66 66.7 66.8 83 82.7 73.7 26.35 0.605572 33.97 0.788423 28.26 0.651099 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

12a,b,c 58 66.2 66.8 66.9 85 83.7 73.2 28.1 0.64579 34.61 0.803277 30.03 0.691879 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

13a,b,c 58 65.7 66.5 66.7 90 86.5 73.4 29.48 0.677505 35.34 0.82022 32 0.737267 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

14a,b,c 57.8 66.1 66.6 66.8 93.7 91.8 74.2 30.04 0.690375 36 0.835538 32.68 0.752934 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

15a,b,c 58 66.2 66.7 66.8 96 95 73.3 30.51 0.701177 36.51 0.847375 33.22 0.765376 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

16a,b,c 58 65.9 66.5 66.8 97 96.6 73.3 31.07 0.714047 37.22 0.863854 33.8 0.778739 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

17a,b,c 59 65.7 66.4 66.7 101.2 99.4 73.6 31.67 0.727836 37.9 0.879636 34.48 0.794405 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

18a,b,c 57.7 66 66.6 66.8 107 102.4 73.5 32.12 0.738177 38.48 0.893098 35.01 0.806616 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

19a,b,c 57.9 66 66.5 66.7 110.1 105.6 73.8 33.92 0.779545 39.12 0.907952 36.87 0.84947 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

20a,b,c 57.9 66 66.6 66.6 115.7 111.1 73.4 36.06 0.828726 40.32 0.935803 38.91 0.896471 water 0.597 0.568 0.571 0.571 0.227 0.225 0 30.41

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

staggered

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:01/09/2010

26 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 63.1 68.8 69.4 69.8 81.2 76.6 72.6 18.9 0.433792 26.38 0.612863 19.12 0.440279 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

2a,b,c 63 68.3 68.9 69.4 85.1 82.6 73.6 20.28 0.465466 27.28 0.633772 20.58 0.473899 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

3a,b,c 62.4 68.2 68.7 69 88.5 85.3 74.1 21.91 0.502878 28.51 0.662348 22.18 0.510742 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

4a,b,c 62.6 68 68.6 68.8 90.1 87.5 73.7 22.83 0.523993 29.39 0.682792 23.48 0.540677 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

5a,b,c 62.4 67.6 68.1 68.5 93.7 90.6 73.6 23.83 0.546945 30.38 0.705792 25.62 0.589956 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

6a,b,c 62 67.7 68.1 68.3 97.2 93.8 74.1 25.58 0.587111 31.49 0.73158 27.37 0.630253 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

7a,b,c 62 67.2 67.9 68.2 99 96.7 74.2 27.8 0.638065 32.53 0.755741 29.27 0.674005 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

8a,b,c 62.1 67 67.7 68 102.7 99.8 73.6 29.28 0.672034 33.42 0.776418 30.71 0.707164 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

9a,b,c 62.1 67 67.6 67.7 106.3 104 73.3 30.44 0.698658 34.24 0.795468 32.09 0.738941 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

10a,b,c 61.8 66.7 67.2 67.5 108.5 106.6 73.5 31.88 0.731709 35.22 0.818235 34.07 0.784535 orange 4 3.9 3.9 3.9 2 1.9 0 30.26

11a,b,c 61.6 66.6 67.2 67.3 111.3 110.1 74.1 33.41 0.766825 36.48 0.847508 35.85 0.825523 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

12a,b,c 61.9 66.4 67 67.2 114.1 112.7 73.6 34.96 0.802401 37.39 0.868649 36.13 0.831971 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

13a,b,c 61.8 66.4 67 66.7 118.7 116.2 74.2 36.12 0.829025 38.59 0.896528 37.34 0.859834 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

14a,b,c 61.1 65.9 66.5 66.6 119 116.5 73.6 37 0.849223 39.52 0.918134 38.44 0.885164 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

15a,b,c 60.3 65.7 66.2 66.4 123.5 120 73.6 38.22 0.877224 40.85 0.949032 39.78 0.91602 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

16a,b,c 60.4 65.4 66 66.3 126.1 122.3 73.8 39.33 0.902701 42 0.975749 40.93 0.942501 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

17a,b,c 60.3 65.5 66.1 66.1 128.5 125.6 73.5 40.51 0.929784 43.34 1.00688 42.06 0.968522 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

18a,b,c 60.3 65.5 66 66.1 131.5 129 73.5 41.81 0.959622 44.71 1.038708 43.41 0.999609 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

19a,b,c 59.7 65.2 65.8 65.9 138.2 132 73.6 43.47 0.997722 46.52 1.080758 45.07 1.037834 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

20a,b,c 59.4 65 65.7 65.9 146.1 144.6 73.5 46.87 1.075759 48.34 1.123041 47 1.082276 orange 4 3.9 3.9 3.9 2 1.9 0 30.25

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 82: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

79

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:01/25/2011

40 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 58.4 62 62.5 62.5 78.4 72.2 73.1 16.33 0.375524 33.57 0.780594 16.26 0.375257 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

2a,b,c 57.1 61.8 62.3 62.3 82 80.5 73.3 18.26 0.419907 34.52 0.802684 18.32 0.422799 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

3a,b,c 57.4 61.6 62.1 62.2 87 83 73.5 20.51 0.471648 35.45 0.824309 20.47 0.472418 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

4a,b,c 55.4 61.4 61.9 61.9 91.7 86.8 73.3 22.55 0.518559 36.37 0.845702 22.56 0.520652 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

5a,b,c 55.8 61.3 61.9 61.9 95.5 90.3 73.3 24.33 0.559492 37.43 0.87035 24.55 0.566578 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

6a,b,c 55.7 60.9 61.5 61.5 99.8 93.8 73.8 26.55 0.610543 38.25 0.889417 26.59 0.613658 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

7a,b,c 57.1 60.7 61.3 61.4 103.7 97 73.5 28.43 0.653776 39.16 0.910577 28.46 0.656815 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

8a,b,c 56.2 60.8 61.3 61.5 106.8 101.2 73.8 30.64 0.704597 40.3 0.937085 30.65 0.707357 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

9a,b,c 56.1 60.8 61.3 61.4 110.3 105.4 73.2 32.56 0.748749 41.31 0.96057 32.63 0.753053 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

10a,b,c 56.5 60.5 61 61.2 115.6 110.8 73.4 34.49 0.793132 42.27 0.982893 34.58 0.798056 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

11a,b,c 55.8 60.2 60.7 60.9 120.6 116.1 73.8 36.91 0.848782 43.17 1.00382 36.89 0.851367 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

12a,b,c 56.8 60 60.6 60.7 129.8 120.6 73.5 38.42 0.883506 44.45 1.033584 38.45 0.88737 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

13a,b,c 55.8 60.4 60.9 60.9 136.2 128.9 73.3 40.59 0.933407 45.45 1.056836 40.66 0.938373 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

14a,b,c 56.5 59.9 60.4 60.6 144 136 73.2 42.52 0.977789 46.42 1.079392 42.45 0.979684 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

15a,b,c 56.1 60 60.7 60.8 147.3 146.7 73.4 44.66 1.027001 47.37 1.101482 44.62 1.029764 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

16a,b,c 55.8 60 60.5 60.7 149 147 73.3 46.44 1.067934 48.58 1.129617 46.42 1.071306 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

17a,b,c 56.9 60.2 60.6 60.7 152 148 73.2 48.76 1.121284 49.19 1.143802 48.79 1.126002 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

18a,b,c 56.7 60.3 60.9 60.8 155 150 73.1 50.68 1.165437 50.31 1.169845 50.67 1.16939 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

19a,b,c 56.9 60 60.6 60.7 159 158 73 52.81 1.214418 52.02 1.209607 52.85 1.219701 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

20a,b,c 56.5 60.2 60.9 60.7 163 159.2 73.4 54.45 1.252131 53.24 1.237975 54.38 1.255011 orange 7.4 7.2 7.2 7.7 3.5 3.4 0 30.21

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:01/25/2011

54 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 58.1 59.6 60 60.1 75.1 73.5 73.6 31 0.712517 38.16 0.886965 30.94 0.712878 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

2a,b,c 59 60.1 60.5 60.5 79.1 77.1 73.9 32.84 0.754808 39.33 0.91416 32.49 0.748591 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

3a,b,c 59.7 60 60.5 60.4 81.5 79.9 73.3 34.51 0.793192 40.51 0.941587 34.3 0.790294 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

4a,b,c 58.8 65.9 60.2 60.3 83.1 81.9 73.7 36.25 0.833185 41.86 0.972965 36.17 0.83338 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

5a,b,c 59.1 59.7 60.1 60.2 84.3 83.7 73.5 37.42 0.860077 42.2 0.980868 37.1 0.854808 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

6a,b,c 57.8 59.5 60 60 87.1 85.2 73.6 38.91 0.894324 43.2 1.004111 38.41 0.884991 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

7a,b,c 58.1 59.6 60 60.1 89.3 87 73.7 40.33 0.926962 44.69 1.038744 40.62 0.935911 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

8a,b,c 58 59.7 60.1 60.1 90.3 89 73.4 41.45 0.952704 45.92 1.067333 41.79 0.962869 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

9a,b,c 58 59.7 60.1 60.1 92.1 90.6 73.5 42.1 0.967644 46.64 1.084068 42.61 0.981762 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

10a,b,c 57.5 59.7 60.1 60.1 95.3 91.7 73.2 43.1 0.990629 47.89 1.113122 43.94 1.012406 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.1

11a,b,c 58 59.5 60 60.1 98.1 94.3 73.4 44.14 1.014532 49.25 1.144733 45.13 1.039825 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

12a,b,c 57.9 59.4 59.9 60 101 95.9 73.8 45.51 1.046021 50.53 1.174485 46.54 1.072312 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

13a,b,c 57.2 59.3 59.8 59.9 105.1 98.1 73.7 46.53 1.069465 51.85 1.205166 47.47 1.09374 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

14a,b,c 57.1 59.4 59.8 60 111.1 99.3 73.4 47.53 1.09245 52.7 1.224923 48.33 1.113555 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

15a,b,c 58.2 59.3 59.7 59.7 114.1 103.4 71.3 49.09 1.128305 53.69 1.247934 50.11 1.154567 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

16a,b,c 57.9 59.3 59.7 59.8 107.3 106.9 71.3 51.11 1.174734 55 1.278382 53.78 1.239126 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

17a,b,c 57.7 59.1 59.6 59.7 111.2 109.9 70.3 52.42 1.204843 56.68 1.317431 55.3 1.274148 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

18a,b,c 57.3 58.8 59.3 59.5 115.8 113.4 71.2 54.65 1.256099 58.61 1.362291 57.31 1.32046 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

19a,b,c 58 59.1 59.5 59.6 122.2 120 71.6 56.62 1.301378 61.95 1.439923 59.74 1.376448 orange 11.5 11.2 11.2 11.3 5.5 5.4 0 30.09

20a,b,c 57.8 59.3 59.8 59.7 131.1 127.4 72.6 60.02 1.379525 63.23 1.469675 63.52 1.463542 orange 11.5 11.2 11.2 11.3 5.5 3.4 0 30.09

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 83: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

80

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:01/25/2011

69 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 60.3 59.7 60 60 76.3 74.2 73.6 34.06 0.782881 40.3 0.936488 34.37 0.792421 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

2a,b,c 60.1 59.6 59.8 59.8 78.5 76.3 73.9 36.51 0.839195 41.61 0.966929 36.63 0.844527 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

3a,b,c 60 59.5 59.8 59.8 80 78.3 73.3 38.23 0.87873 42.86 0.995977 38.22 0.881185 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

4a,b,c 57 59.4 59.7 59.7 81.2 79.6 73.7 39.72 0.912978 44.99 1.045474 39.87 0.919227 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

5a,b,c 60 59.4 59.7 59.9 82 81.3 73.5 41.71 0.958719 45.3 1.052677 41.28 0.951735 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

6a,b,c 59.6 59.6 60 60 83.1 82.3 73.6 44 1.011355 47.76 1.109843 43.6 1.005224 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

7a,b,c 60.5 59.8 60.1 60 85.3 84.4 73.7 45.17 1.038248 49.07 1.140284 45.63 1.052027 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

8a,b,c 60.3 59.9 60.2 60.3 87.1 86.2 73.4 46.66 1.072496 50.66 1.177233 47.68 1.099291 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

9a,b,c 60.6 59.9 60.2 60.2 88.2 88 73.5 47.77 1.09801 51.95 1.207209 48.88 1.126958 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

10a,b,c 60.5 59.9 60.3 60.3 89 88.8 73.2 48.9 1.123984 53.04 1.232539 49.98 1.152319 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

11a,b,c 60.4 59.8 60.3 60.3 91.5 90.2 73.4 50.41 1.158692 54.83 1.274135 51.59 1.189439 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

12a,b,c 59.3 60 60.3 60.3 93.9 91.5 73.8 51.3 1.179149 56.27 1.307597 56.55 1.303794 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

13a,b,c 60 60 60.2 60.3 96 94.7 73.7 53 1.218224 58 1.347799 54.69 1.260911 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

14a,b,c 60.1 59.8 60.2 60.3 97.5 95.5 73.4 54.94 1.262815 60.05 1.395436 56.58 1.304486 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

15a,b,c 59.9 59.7 60.1 60.2 99.9 98.7 71.3 57 1.310165 62.59 1.454461 58.75 1.354517 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

16a,b,c 59.6 59.8 60.1 60.1 102 99.8 71.3 58.23 1.338437 63.67 1.479558 60.23 1.388639 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

17a,b,c 59.7 59.8 60.2 60.1 104.9 101.8 70.3 59.18 1.360273 65.1 1.512788 61.17 1.410311 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

18a,b,c 59.4 59.6 60 60.1 107.3 104 71.2 61.82 1.420954 66.32 1.541138 64.58 1.488931 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

19a,b,c 59.8 60 60.2 60.3 109.2 109.4 71.6 62.06 1.426471 68.79 1.598536 67.41 1.554178 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

20a,b,c 60.1 60.1 60.4 60.5 113 110.9 72.6 62.48 1.436125 69.32 1.610852 68.63 1.582306 orange 17 16.4 16.5 16.6 8.1 8 0 30.08

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inline

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:01/25/2011

80 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 61.5 60.1 60.5 60.5 73 72.1 73.9 34.87 0.801531 41.76 0.970102 35.65 0.822064 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

2a,b,c 61.5 60.1 60.5 60.5 75.2 74.3 74 37.56 0.863364 43.46 1.009594 38.13 0.879251 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

3a,b,c 61.4 60.1 60.5 60.5 77.1 76.8 73.8 39.81 0.915083 45.24 1.050944 40.2 0.926984 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

4a,b,c 61 60 60.3 60.4 79.7 78.7 73.4 42.06 0.966802 47.05 1.092991 42.29 0.975178 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

5a,b,c 61.1 59.9 60.3 60.3 81.9 80.2 73.1 43.21 0.993236 48.35 1.12319 43.51 1.00331 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

6a,b,c 60.5 60 60.3 60.3 82.7 81.4 74.1 45.42 1.044036 49.74 1.155481 45.37 1.0462 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

7a,b,c 61.3 59.9 60.2 60.2 84.1 83.2 74 47.42 1.090008 51.7 1.201012 48.13 1.109844 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

8a,b,c 60.8 60 60.3 60.3 86 85.1 73.7 50.07 1.150922 53.14 1.234464 50.31 1.160113 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

9a,b,c 60.1 60 60.2 60.2 87.7 86.6 73.4 51.93 1.193677 55.2 1.282319 52.4 1.208307 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

10a,b,c 61.5 59.9 60.2 60.2 89.1 87.8 73.4 53.55 1.230914 56.83 1.320184 53.91 1.243127 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

11a,b,c 61.5 59.8 60.1 60.1 91.3 90 73.2 54.74 1.258268 58.42 1.35712 55.51 1.280022 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

12a,b,c 61 59.8 60.1 60.1 93.1 91.3 73.6 56.52 1.299183 60.4 1.403117 57.28 1.320837 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

13a,b,c 60.5 59.8 60.1 60.2 95.2 92.3 74 58.24 1.33872 62.09 1.442376 59.08 1.362343 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

14a,b,c 61.2 59.9 60.2 60.3 97 94.8 73.8 59.76 1.373659 63.83 1.482797 60.57 1.396702 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

15a,b,c 61.3 60 60.3 60.4 98.8 95.7 73.6 60.42 1.38883 64.51 1.498594 61.37 1.415149 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

16a,b,c 61.2 59.9 60.2 60.3 101.9 97.7 73.5 62.43 1.435032 67.96 1.578739 63.62 1.467032 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

17a,b,c 61.4 59.8 60.1 60.3 104 98.6 73.6 63.89 1.468592 68.1 1.581991 64.76 1.49332 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

18a,b,c 61.2 59.8 60 60.1 107.1 102.3 73.2 65.5 1.5056 70.13 1.629149 68.21 1.572875 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

19a,b,c 61.4 59.8 60 60.1 110.1 104.5 73.5 67.68 1.55571 72.12 1.675377 71.6 1.651046 orange 21.4 20.5 20.7 20.9 10.4 10.2 0 30.09

20a,b,c 61.3 60 60.3 60.4 113 107.8 73.8 70 1.609038 75.03 1.742978 74.19 1.710769 orange 21.4 16.4 16.5 20.9 10.4 10.2 0 30.09

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 84: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

81

7 crossover holes-10 exit holes, staggered arrangement, 0 degree tilt, no bleed

Lab: 165EC

0.32 "

"Hg

Pven Tven Tin1 Tin2 Tamb Pplen Psup1 Psup2 Psup3 Pend1 Pend2 Man. Liquid Pamb ∆Pjet Tjet DP,orifice

5 73.2 73.4 73.6 73.6 0.363 0.334 0.347 0.362 0.122 0.125 water 30.06 0.185 73.7 0

10 73.6 73.5 73.7 73.2 0.612 0.581 0.595 0.592 0.23 0.225 water 30.06 0.309 74.1 0

15 73.6 73.7 73.9 73.7 0.89 0.85 0.864 0.87 0.325 0.325 water 30.06 0.457 74.2 0

20 74.3 73.9 74.1 73.8 3.1 3 3 3 1.4 1.3 orange 30.06 0.2 74.4 0

25 75 74 74.2 73.2 4 3.9 3.9 3.95 1.8 1.7 orange 30.06 0.3 74.5 0

30 75.3 74.3 74.3 73.6 4.9 4.8 4.8 4.85 2.2 2 orange 30.06 0.35 74.7 0

40 76.5 74.4 74.6 73.2 7.25 7 7.1 7.1 3.1 2.9 orange 30.06 0.5 74.9 0

50 76.8 74.9 74.9 73.8 10.1 9.6 9.8 9.9 4.4 4 orange 30.06 0.6 75.4 0

60 77.5 75.3 75.3 74 13.2 12.7 12.9 12.9 5.65 5.7 orange 30.06 0.7 75.6 0

70 78.7 75.8 75.8 73.2 16.5 15.9 16.1 16.1 7.1 6.6 orange 30.06 0.8 76.2 0

80 80.4 76.6 76.5 74 20.1 19.5 19.6 19.8 8.7 8.2 orange 30.06 0.9 76.8 0

Sultan Al shehery Bleed Valve : closed

Remarks: Micro-manometer(H₂O) readings should be multiplied by 2

Date: 08/24/2010

COLD TEST

Trailing -Edge Test Section With Cross-Over Jets

Critical Venturi Throat Diameter: Cross-Over Hole Angle: 0˚

TE slot Arrangement: staggered

Experimentalist :

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date: 6\28\2010

13 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 70.9 72.2 72.3 72.5 77.3 79.9 73.3 11.95 0.27436 24.08 0.55967 12.03 0.2773 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

2a,b,c 70.7 72.2 72.5 72.8 80.7 81.6 72.3 12.5 0.28699 24.74 0.57501 12.41 0.28606 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

3a,b,c 71.2 72.3 72.7 72.8 82.8 82.7 72.4 12.86 0.29526 25.86 0.60104 12.79 0.29482 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

4a,b,c 71 72.3 72.7 72.8 84.3 83.7 72.6 13.24 0.30398 26.3 0.61127 13.16 0.30335 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

5a,b,c 71.7 72.3 72.7 72.9 86.1 84.5 72.7 13.64 0.31316 27.1 0.62986 13.55 0.31234 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

6a,b,c 71.2 72.3 72.6 72.9 87.7 85.4 73.7 14.08 0.32327 28.02 0.65124 14.03 0.3234 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

7a,b,c 71.1 72.4 72.7 73 89.5 86.4 74.3 14.47 0.33222 28.98 0.67355 14.46 0.33332 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

8a,b,c 71.3 72.6 72.8 73 90.9 87.3 73.1 14.76 0.33888 29.55 0.6868 14.81 0.34138 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

9a,b,c 71.2 72.5 72.8 73.1 92.2 87.9 72.7 15.07 0.346 30.16 0.70098 15.07 0.34738 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

10a,b,c 71.9 72.6 728 73 94.7 90.3 72.1 16.18 0.37148 31.09 0.7226 16.18 0.37296 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

11a,b,c 71.6 72.6 72.8 73.1 98.2 92.2 74.2 17.31 0.39742 31.36 0.72887 17.31 0.39901 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

12a,b,c 72.7 72.6 73 73.2 101.9 94.4 72.7 18.16 0.41694 32.18 0.74793 18.14 0.41814 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

13a,b,c 72.4 72.8 73 73.3 111 102.2 72.7 21.11 0.48467 32.19 0.74816 21.17 0.48799 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

14a,b,c 72.2 72.8 73 73.3 115.2 105.7 72.7 23.58 0.54138 33.16 0.77071 23.54 0.54262 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

15a,b,c 72.4 72.9 73.1 73.4 123.3 109.1 73.9 25.97 0.59625 34.05 0.79139 25.98 0.59886 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

16a,b,c 72.1 72.8 73 73.4 134.1 113.8 72.4 28.92 0.66398 35.03 0.81417 28.95 0.66732 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

17a,b,c 72 73 73.2 73.4 144.9 121.4 73.6 31.74 0.72873 35.78 0.8316 31.77 0.73233 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

18a,b,c 72.2 72.9 73.1 73.4 163.2 134.7 72.6 35.74 0.82056 36.25 0.84252 35.76 0.8243 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

19a,b,c 71.9 72.8 73 73.4 183.1 142.3 72.6 39.09 0.89748 37.61 0.87413 37.77 0.87063 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

20a,b,c 72.3 72.9 73.1 73.4 196.5 142.4 74 43.24 0.99276 38.41 0.89273 39.87 0.91904 1 0.736 0.728 0.729 0.734 0.3 0.296 0 30.05

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 85: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

82

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:06\28\2010

26 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 68.8 68.7 69.1 69.2 92.5 80.6 73 13.35 0.30648 27.11 0.632 13.39 0.30879 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

2a,b,c 70.1 67.2 67.8 68.1 92.1 81.8 73 16.57 0.3804 28 0.65275 16.6 0.38282 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

3a,b,c 67.7 66.7 67.3 67.4 94.5 84 72.1 18.19 0.4176 29.28 0.68259 18.15 0.41856 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

4a,b,c 69.9 66.6 67.1 67.3 98.5 85.8 73 20.24 0.46466 30.29 0.70613 20.21 0.46607 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

5a,b,c 70.5 67.3 67.7 68.1 102.9 89.2 73.6 22.33 0.51264 31.25 0.72851 22.24 0.51288 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

6a,b,c 69.4 67.6 67.9 68.1 108.8 92.3 74.2 24.32 0.55832 32.21 0.75089 24.27 0.5597 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

7a,b,c 70.5 68 68.3 68.7 115 96.7 73.2 26.55 0.60952 33.17 0.77327 26.47 0.61043 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

8a,b,c 68.1 68 68.3 68.8 122.2 101.5 72.3 28.59 0.65635 34.07 0.79426 28.6 0.65955 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

9a,b,c 69.7 67.2 67.6 67.6 129.1 105.6 73.5 30.79 0.70686 35.23 0.8213 30.81 0.71052 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

10a,b,c 68.7 67 67.3 67.5 138.2 111.7 74.1 32.78 0.75254 36.04 0.84018 32.87 0.75802 2 4.2 4 4.1 4.1 1.9 1.8 0 30.02

11a,b,c 69.4 66.6 67 67.5 146.3 118.7 73.9 34.76 0.798 37.09 0.86466 34.81 0.80276 2 4.2 4 4.1 4.1 1.9 1.8 0 30

12a,b,c 68.5 67.1 67.5 67.6 158.4 128.8 72.6 37.37 0.85792 38.07 0.88751 37.3 0.86018 2 4.2 4 4.1 4.1 1.9 1.8 0 30

13a,b,c 68.4 66.8 67.1 67.5 168.4 135.6 74 39.52 0.90728 39.14 0.91245 39.65 0.91438 2 4.2 4 4.1 4.1 1.9 1.8 0 30

14a,b,c 68.2 67.8 67.9 68 179.7 144.6 73.9 40.4 0.92748 40.03 0.9332 40.43 0.93237 2 4.2 4 4.1 4.1 1.9 1.8 0 30

15a,b,c 69.6 67.2 67.5 67.6 188.6 147.2 73.9 41.74 0.95824 41.08 0.95768 41.78 0.9635 2 4.2 4 4.1 4.1 1.9 1.8 0 30

16a,b,c 70.2 67.3 67.6 67.7 197.4 136.7 73.5 42.76 0.98166 42.2 0.98379 42.7 0.98472 2 4.2 4 4.1 4.1 1.9 1.8 0 30

17a,b,c 68 66.9 67.3 67.4 203.7 127.6 72.4 43.52 0.99911 43.19 1.00687 43.54 1.00409 2 4.2 4 4.1 4.1 1.9 1.8 0 30

18a,b,c 70.7 66.7 67.1 67.3 212.4 138.2 72.9 45.44 1.04319 44.87 1.04603 45.45 1.04813 2 4.2 4 4.1 4.1 1.9 1.8 0 30

19a,b,c 67.1 66 66.5 66.5 219.8 161.1 73.8 47.06 1.08038 46.87 1.09266 47.06 1.08526 2 4.2 4 4.1 4.1 1.9 1.8 0 30

20a,b,c 68.5 65.7 66.2 66.4 231.2 166 73.2 48.73 1.11872 48.4 1.12832 48.74 1.124 2 4.2 4 4.1 4.1 1.9 1.8 0 30

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

inlie

SULTAN AL SHEHERY stagger

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:6\29\2010

40 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 73.2 64.7 65 65.2 103.8 84.3 72.9 16.33 0.37416 33.57 0.78069 16.26 0.37525 2 7.2 6.9 7 7.1 3.1 3 0 29.99

2a,b,c 72.6 65 65.3 65.5 100 85.5 74.1 18.26 0.41839 34.52 0.80278 18.32 0.42279 2 7.2 6.9 7 7.1 3.1 3 0 29.99

3a,b,c 72.4 65.1 65.3 65.7 99.7 86.8 74.3 20.51 0.46994 35.45 0.82441 20.47 0.4724 2 7.2 6.9 7 7.1 3.1 3 0 29.99

4a,b,c 72.8 65.6 65.9 66 98.8 87.1 73.8 22.55 0.51668 36.37 0.84581 22.56 0.52064 2 7.2 6.9 7 7.1 3.1 3 0 29.99

5a,b,c 72.7 65.7 66 66.2 99.1 90.1 72.8 24.33 0.55747 37.43 0.87046 24.55 0.56656 2 7.2 6.9 7 7.1 3.1 3 0 29.99

6a,b,c 72.5 65.7 65.9 66.1 102.7 92.9 74.2 26.55 0.60833 38.25 0.88953 26.59 0.61364 2 7.2 6.9 7 7.1 3.1 3 0 29.99

7a,b,c 72.9 65.9 66.2 66.4 108.1 98.1 73.9 28.43 0.65141 39.16 0.91069 28.46 0.6568 2 7.2 6.9 7 7.1 3.1 3 0 29.99

8a,b,c 73.4 65.8 66.1 66.3 111.8 99.1 73 30.64 0.70205 40.3 0.9372 30.65 0.70734 2 7.2 6.9 7 7.1 3.1 3 0 29.99

9a,b,c 73.3 65.8 66.1 66.2 121.8 103.3 73.5 32.56 0.74604 41.31 0.96069 32.63 0.75303 2 7.2 6.9 7 7.1 3.1 3 0 29.99

10a,b,c 73 65.7 65 66.1 129.5 106.5 74.4 34.49 0.79026 42.27 0.98301 34.58 0.79803 2 7.2 6.9 7 7.1 3.1 3 0 29.99

11a,b,c 73.2 65.6 65.9 66 143 113.1 73.3 36.91 0.84571 43.17 1.00394 36.89 0.85134 2 7.2 6.9 7 7.1 3.1 3 0 29.98

12a,b,c 74 65.7 66 66.2 53.3 118.1 72.6 38.42 0.88031 44.45 1.03371 38.45 0.88735 2 7.2 6.9 7 7.1 3.1 3 0 29.98

13a,b,c 73.7 65.7 66 66.3 163.4 122.1 74 40.59 0.93003 45.45 1.05697 40.66 0.93835 2 7.2 6.9 7 7.1 3.1 3 0 29.98

14a,b,c 73.3 65.8 66.2 66.4 174.4 128.9 74.1 42.52 0.97425 46.42 1.07952 42.45 0.97966 2 7.2 6.9 7 7.1 3.1 3 0 29.98

15a,b,c 73 65.9 66.2 66.5 184.6 135.2 73 44.66 1.02328 47.37 1.10162 44.62 1.02974 2 7.2 6.9 7 7.1 3.1 3 0 29.98

16a,b,c 73 65.9 66.1 66.4 197.9 143 72.4 46.44 1.06407 48.58 1.12976 46.42 1.07128 2 7.2 6.9 7 7.1 3.1 3 0 29.98

17a,b,c 73.3 65.8 66 66.2 208 149 74.1 48.76 1.11722 49.19 1.14394 48.79 1.12597 2 7.2 6.9 7 7.1 3.1 3 0 29.98

18a,b,c 73.1 65.8 66.1 66.4 221 158.9 74 50.68 1.16122 50.31 1.16999 50.67 1.16936 2 7.2 6.9 7 7.1 3.1 3 0 29.98

19a,b,c 73 66.1 66.4 66.5 229.9 165.8 72.4 52.81 1.21002 52.02 1.20976 52.85 1.21967 2 7.2 6.9 7 7.1 3.1 3 0 29.98

20a,b,c 73.5 65.8 66.1 66.4 231 166.1 72 54.45 1.2476 53.24 1.23813 54.38 1.25498 2 7.2 6.9 7 7.1 3.1 3 0 29.98

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 86: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

83

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

SULTAN ALSHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:6\30\2010

54 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 76.6 68.2 68.4 68.6 78.8 75.9 73.7 16.7 0.38311 33.37 0.77619 16.77 0.38684 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

2a,b,c 77 67.9 68.3 68.6 79.2 76.3 73.1 18.85 0.43243 34.35 0.79898 18.81 0.4339 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

3a,b,c 76.9 67.9 68.2 68.6 80.1 77.8 72.9 20.71 0.4751 35.6 0.82806 20.75 0.47865 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

4a,b,c 77.5 68.4 68.6 68.6 81.4 79.1 74.1 22.73 0.52144 36.74 0.85458 22.76 0.52502 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

5a,b,c 77.4 68.6 68.8 69 82.9 81.3 73.7 24.77 0.56824 37.76 0.8783 24.88 0.57392 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

6a,b,c 77.2 68.3 68.6 68.8 84.6 82.4 73.4 26.71 0.61275 38.48 0.89505 26.73 0.6166 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

7a,b,c 77.5 68 68.3 68.6 86.9 84.9 73.8 28.79 0.66047 39.53 0.91947 28.86 0.66573 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

8a,b,c 77.8 68.3 68.5 68.6 88.8 87.6 74.4 30.64 0.70291 40.3 0.93738 30.64 0.70679 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

9a,b,c 77.8 68.2 68.4 68.6 90.4 89.9 73.9 32.84 0.75338 41.44 0.9639 32.87 0.75823 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

10a,b,c 77.8 67.9 68.2 68.5 92.8 93.3 73.4 34.79 0.79811 42.54 0.98948 34.85 0.80391 2 11 10.6 10.7 10.8 4.8 4.5 0 29.94

11a,b,c 77.5 67.9 67.9 68.4 96.2 95.8 74.3 36.62 0.84009 43.29 1.00693 36.65 0.84543 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

12a,b,c 77.8 67.6 67.6 68.3 97.8 97.4 73.6 38.67 0.88712 44.3 1.03042 38.74 0.89364 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

13a,b,c 77.7 66.9 67.2 67.2 100.1 100.8 72.7 40.61 0.93163 45.31 1.05391 40.66 0.93793 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

14a,b,c 77.6 66 66.4 66.6 102.1 103.1 74.1 42.97 0.98577 46.68 1.08578 43 0.99191 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

15a,b,c 77.9 66.2 66.5 66.8 104.4 104.6 74.4 44.88 1.02958 47.79 1.1116 44.96 1.03712 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

16a,b,c 77.8 66.4 66.7 66.6 107.6 108.2 73.5 48.48 1.11217 48.63 1.13114 48.47 1.11809 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

17a,b,c 78.1 66.8 66.2 66.4 111.6 111.3 73.1 50.91 1.16792 49.78 1.15789 50.91 1.17438 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

18a,b,c 78.5 66.1 66.4 66.6 126.7 113.5 73.7 53.97 1.23811 51.56 1.19929 53.88 1.24289 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

19a,b,c 78.4 66.4 66.6 66.8 148.2 115.1 72.6 54.73 1.25555 54.55 1.26884 54.85 1.26526 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

20a,b,c 78.4 66.1 66.4 66.5 145.5 111.6 74.2 58 1.33057 55.67 1.29489 55.95 1.29064 2 11 10.6 10.7 10.8 4.8 4.5 0 29.93

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

staggered

sultan al shehery closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:09/07/2010

69 psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 77.8 70.3 75 70.7 77.9 74.9 72.9 19.73 0.4527 34.02 0.79117 19.63 0.45297 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

2a,b,c 78.9 70.5 70.6 70.8 80.4 75.7 73.9 21.25 0.48758 35.24 0.81954 21.31 0.49173 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

3a,b,c 79.1 70.6 70.6 70.8 82 76.2 73.7 22.71 0.52108 36.49 0.84861 22.91 0.52865 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

4a,b,c 79.6 70.5 70.7 70.9 83.9 77.2 73.1 24.2 0.55527 37.38 0.86931 24.51 0.56558 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

5a,b,c 80.2 70.6 70.8 70.9 85.6 78.1 74.4 25.72 0.59015 38.49 0.89512 25.75 0.59419 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

6a,b,c 80.2 70.5 70.7 71 87.7 79.1 73.3 27.12 0.62227 39.5 0.91861 27.03 0.62373 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

7a,b,c 80 70.4 70.6 71 90.1 80 73.2 28.71 0.65875 40.4 0.93954 28.69 0.66203 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

8a,b,c 80.4 70.3 70.4 70.6 91.4 80.8 74.2 30.28 0.69477 41.53 0.96582 30.37 0.7008 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

9a,b,c 80.1 70.2 70.4 70.7 93.3 81.7 73.9 31.71 0.72759 42.61 0.99094 31.79 0.73356 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

10a,b,c 79.8 70.4 70.6 70.6 95.7 83.2 73.4 33.17 0.76109 43.37 1.00861 33.32 0.76887 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30.03

11a,b,c 80.3 69.9 70.1 70.4 97.6 83.7 74.2 34.79 0.79826 44.32 1.0307 34.42 0.79425 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

12a,b,c 80.6 70.6 70.7 70.8 99.5 85.2 73.6 36.35 0.83405 45.35 1.05466 36.69 0.84663 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

13a,b,c 80.7 70.2 70.3 70.6 101.2 86.5 73.1 37.83 0.86801 46.43 1.07977 38.07 0.87848 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

14a,b,c 80.7 70.3 70.4 70.6 103.2 89.1 74 39.27 0.90105 47.6 1.10698 40.81 0.9417 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

15a,b,c 81 70.1 70.3 70.4 104.9 89.3 74.1 41.87 0.96071 48.53 1.12861 42.52 0.98116 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

16a,b,c 80.9 70 70.2 70.2 107.4 92.7 73 44.03 1.01027 49.33 1.14722 45.36 1.0467 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

17a,b,c 80.8 69.8 70 70.3 111.3 95.6 73.8 48.2 1.10595 51.35 1.19419 49.25 1.13646 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

18a,b,c 80.8 69.8 70.1 70.3 115.6 97.1 73.6 49.53 1.13647 52.65 1.22443 52.11 1.20245 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

19a,b,c 81 69.9 70 70.2 122.1 100.4 73.1 51.43 1.18067 53 1.23399 53.96 1.24504 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

20a,b,c 80.9 70 70.2 70.4 130.7 102.2 73.8 52.51 1.20546 54.18 1.26147 55.68 1.28473 orange 15.9 15.3 15.5 15.5 6.8 6.4 0 30

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 87: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

84

Trailing-Edge Test Section With Cross-Over Jets

Lab: 165EC

Critical Venturi Throat Diameter: 0.32" 0˚

stagger

SULTAN AL SHEHERY closed

Remarks : Micro-manometer (H2O) readings should be multiplied by 2.

Date:7\01\2010

80 Psi

"Hg

Pic # Tven Tin1 Tin2 Tjet Tend1 Tend2 Tamb V1 A1 V2 A2 V3 A3 Man. Liq. Pplen Psup1 Psup2 Psup3 Pend1 Pend2 DP,orifice Pamb

1a,b,c 84.60 71.60 71.70 71.80 79.30 75.40 73.50 20.82 0.48 34.72 0.81 20.00 0.46 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

2a,b,c 84.90 71.40 71.50 71.80 81.20 75.80 72.80 21.97 0.50 35.61 0.83 21.54 0.50 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

3a,b,c 84.90 71.30 71.50 71.40 82.30 76.20 73.80 23.71 0.54 36.74 0.86 23.10 0.53 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

4a,b,c 84.50 71.10 71.30 71.50 83.30 76.60 74.40 25.15 0.58 37.92 0.88 25.81 0.60 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

5a,b,c 85.00 71.50 71.60 71.70 84.70 77.30 73.40 26.86 0.62 39.07 0.91 27.26 0.63 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

6a,b,c 84.90 71.10 71.20 71.40 86.00 77.70 73.10 28.30 0.65 40.35 0.94 28.93 0.67 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

7a,b,c 85.30 71.20 71.30 71.60 87.70 78.40 74.40 29.84 0.69 41.25 0.96 30.29 0.70 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

8a,b,c 85.20 71.30 71.40 71.60 89.10 78.90 74.00 31.19 0.72 42.15 0.98 31.79 0.73 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

9a,b,c 85.30 71.40 71.50 71.80 90.60 79.60 73.40 32.76 0.75 43.25 1.01 33.36 0.77 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

10a,b,c 85.40 71.30 71.30 71.60 92.10 80.10 73.40 34.07 0.78 44.04 1.03 34.84 0.80 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 30.00

11a,b,c 85.20 71.70 71.70 71.60 95.20 81.10 73.60 35.55 0.82 45.18 1.05 36.54 0.84 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

12a,b,c 84.50 71.60 71.60 72.00 97.00 81.60 72.40 37.12 0.85 46.21 1.08 38.08 0.88 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

13a,b,c 85.20 71.40 71.40 71.80 98.70 82.10 74.30 38.54 0.88 47.23 1.10 39.49 0.91 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

14a,b,c 85.10 70.90 70.90 71.10 100.30 82.60 73.70 40.04 0.92 48.22 1.12 41.15 0.95 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

15a,b,c 85.00 71.20 71.20 71.40 101.80 83.30 73.40 41.60 0.96 49.22 1.15 43.11 0.99 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

16a,b,c 84.60 71.50 71.60 71.80 102.40 84.00 74.00 44.06 1.01 50.04 1.17 45.10 1.04 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

17a,b,c 85.10 71.20 71.30 71.40 102.90 85.20 73.90 46.47 1.07 50.95 1.19 47.41 1.09 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

18a,b,c 85.10 71.30 71.30 71.50 105.30 86.10 73.40 49.00 1.12 51.81 1.21 49.98 1.15 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

19a,b,c 85.00 71.40 71.40 71.70 109.00 87.70 73.50 52.46 1.20 53.83 1.25 55.41 1.28 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

20a,b,c 84.70 71.20 71.30 71.50 114.10 89.70 74.00 54.86 1.26 56.28 1.31 57.90 1.34 2.00 19.80 19.00 19.20 19.30 8.50 8.00 0.00 29.99

Cross-Over Hole Angle :

TE slot Arrangement :

Experimentalist : Bleed Valve :

Critical Venturi Inlet Pressure:

Page 88: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

85

Appendix B: Source code for check.f

character*60 filename

character*80 title

character*8 PICTURES

write(6,*)'enter the name of the data file that u',

&' want to check'

read(5,10)filename

10 format(a60)

open(unit=1,file=filename,status='old')

open(unit=2,file='output.dat',status='old')

READ(1,*)NPoints,Tliquid,angle,NCO,NE,TEslots

IEND=11

do i=1,IEND

read(1,221)title

enddo

221 FORMAT(A80,//)

do i=1,NPoints

read(1,400)PICTURES

read(1,*)Pven,Tven,Tin1,Tin2,Tjet,Tend1,Tend2,Tamb,V1,A1,

&V2,A2,V3,A3,flag,Pplen,Psup1,Psup2,Psup3,Pend1,Pend2,

&Dporif,Pamb

400 FORMAT(A8)

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86

if(Pven.lt.10.or.Pven.gt.90)then

write(6,*)' '

write(6,*)'** CHECK Pven IN LINE #:',i,',Pven:',Pven

endif

if(DPorif.lt.0.or.DPorif1.gt.17)then

write(6,*)' '

write(6,*)'** CHECK DPorif1 in LINE #:',i,', Pven:',Pven

endif

if(Pamb.lt.28.or.Pamb.gt.31)then

write(6,*)' '

write(6,*)'** CHECK Pamb IN LINE #:',i,', Pven:',Pven

endif

if(Tamb.lt.45.or.Tamb.gt.90)then

write(6,*)' '

write(6,*)'** CHECK Tamb IN LINE #:',i,', Pven:',Pven

endif

if(Tven.lt.45.or.Tven.gt.90)then

write(6,*)' '

write(6,*)'** CHECK Tven IN LINE #:',i,', Pven:',Pven

endif

if(Tin1.lt.45.or.Tin1.gt.90)then

write(6,*)' '

Page 90: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

87

write(6,*)'** CHECK Tin1 IN LINE #:',i,', Pven:',Pven

endif

if(Tin1.lt.45.or.Tin2.gt.90)then

write(6,*)' '

write(6,*)'** CHECK Tin2 IN LINE #:',i,', Pven:',Pven

endif

if(Tend1.lt.45.or.Tend1.gt.150)then

write(6,*)' '

write(6,*)'** CHECK Tend1 IN LINE #:',i,', Pven:',Pven

endif

if(Tend2.lt.45.or.Tend2.gt.150)then

write(6,*)' '

write(6,*)'** CHECK Tend2 IN LINE #:',i,', Pven:',Pven

endif

if(Tjet.lt.45.or.Tjet.gt.90)then

write(6,*)' '

write(6,*)'** CHECK Tjet IN LINE #:',i,', Pven:',Pven

endif

if(old1.eq.0)goto 31

err1=abs((v1/a1)-old1)/old1

err2=abs((v2/a2)-old2)/old2

Page 91: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

88

err3=abs((v3/a3)-old3)/old3

if(err1.gt..0125)then

write(6,*)' '

write(6,*)'error in heater 1 (V or A) IN LINE #:',i

endif

if(err2.gt..0125)then

write(6,*)' '

write(6,*)'error in heater 2 (V or A) IN LINE #:',i

endif

if(err3.gt..0125)then

write(6,*)' '

write(6,*)'error in heater 3 (V or A) IN LINE #:',i

endif

31 write(6,35)PICTURES,Pven,v1/a1,v2/a2,v3/a3

write(2,35)PICTURES,Pven,v1/a1,v2/a2,v3/a3

if(flag.eq.1)goto 32

old1=v1/a1

old2=v2/a2

old3=v3/a3

flag=1.

32 continue

Page 92: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

89

35 format(1x,A8,1x,f5.0,3(1x,f10.6))

enddo

write(6,*)' '

write(6,*)' '

write(6,*)' Resistances are in file : output.dat'

stop

end

Page 93: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

90

Appendix C: Source code for Reduce.f

C NOTE: Tm = Tjet is used in h calculation

C FOR SULTAN AL-SHEHREY

C TRAILING-EDGE SIMULATING CHANNEL WITH CROSS-OVER SLOTS

C AND TRALING-EDGE SLOTS

C IMPINGEMENT ON A ROW OF BROKEN RADIAL RIBS

C FEBRUARY 2010

C CONTROL PANEL ARANGEMENT

C CHANNEL 1 Back Heater # 1

C CHANNEL 2 Back Heater # 2

C CHANNEL 3 Back Heater # 3

IMPLICIT REAL*8(A-H,O-Z)

CHARACTER*80 TITLE

CHARACTER*8 PICTURES

REAL*8 Mv,Nuj

COMMON TEbmax,TEbmin,TEside,TElength,Hlength,Rgas,Mv,

&Tin,Tamb,Pdown,Tliquid,TEAR

Page 94: Experimental impingement heat transfer of a rib …1675/...Experimental Impingement Heat Transfer in ... Nusselt Number versus the Reynolds Number ... fuel energy into practical power.

91

C C R I T I C A L V E N T U R I C O R R E L A T I O N

F1(A,P,T)=0.5215*A*P/SQRT(T) ! Correlation for small critial

! venturi-meters

C O R I F I C E P L A T E C O R R E L A T I O N

F2(Pf,hw,Tabs)=0.862509*K*Fa*Fh*Fm*Y1*(Dorif**2)*

&SQRT(hw*Pf*Gb/(Zf*Tabs))

Zb=0.99961

Zf=0.99958

Fa=1.00013

Fh=1.00000

Fm=1.00000

K=0.80466

Y1=0.99527

Dorif=0.6

Gb=1.

OPEN(Unit=7,FILE='output.dat',STATUS='old')

OPEN(Unit=5,FILE='uncertain.out',STATUS='old')

OPEN(Unit=9,FILE='error.out',STATUS='old')

OPEN(Unit=2,FILE='ph-in-plot.dat',STATUS='old')

OPEN(Unit=8,FILE='ph.in',STATUS='old')

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92

OPEN(Unit=1,FILE='input.dat',STATUS='old')

Hgtopsi= 0.49083935 ! converts inches of Hg to psi

H2otopsi=Hgtopsi/13.6 ! converts inches of H2o to psi

Oiltopsi=0.826*Hgtopsi/13.6 ! converts inches of Oil to psi

FAC1=3.4121 ! converts Watts to BTU/hr

PFAC=248.8*1.4504E-04*144 ! converts inches of H2O to psf

Rgas=53.34 ! gas constant for air

FAC1=3.4121

C V E N T U R I G E O M E T R Y

C PI=3.141592..........

PI=4.*ATAN(1.E00)

Dthroat=0.32 ! 165 EGAN

Athroat=(PI/4.)*(Dthroat*Dthroat)

TElength=36.

TurbHeight=0.23

TurbWidth=0.23

TurbLength=1.32

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93

TurbRadius=0.075

TurbGap=0.68

TurbSpacing=2.

NTurb=11

PartThick=0.9

SupHeight=4.5

SupBmin=1.1

SupBmax=1.96

SupSide=SQRT(SupHeight**2+((SupBmax-SupBmin)/2.)**2)

SupLength=49.

C H E A T E R S

Hlength=11.1 ! Spreader length

Hlength=Hlength/12. ! ft

Hwidth=2.6 ! Spreader width

Hwidth=Hwidth/12. ! ft

C T R A L I N G - E D G E C H A N N E L

TElength=36.

TEheight=2.5

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94

TEheight=TEheight/12. ! ft

TEbmax=0.78

TEbmax=TEbmax/12. ! ft

TEbmin=0.45

TEbmin=TEbmin/12. ! ft

TEside=SQRT(TEheight**2+((TEbmax-TEbmin)/2.)**2)

TEperim=2.*TEside+TEbmax+TEbmin

TEcross=TEheight*(TEbmax+TEbmin)/2.

TEDh=4.*TEcross/TEperim

TEAR=(TEbmax+TEbmin)/(2.*TEside)

C READ IN # OF PHOTOS,LIQUID CRYSTAL REFERENCE TEMPERATURE,TILT ANGLE,

C NUMBER OF CROSS-OVER HOLES,NUMBER OF EXIT HOLES, FLOW ARRANGEMENT

(0:INLINE, 1:STAGGERED)

READ(1,*)NP,Tliquid,angle,NCO,NE,TEslots

WRITE(8,402)NP

402 FORMAT(I5)

C C R O S S - O V E R S L O T S (I N L E T )

SLOTL=0.64

SLOTL=SLOTL/12.

SlotW=0.41

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95

SlotW=SlotW/12.

SLotP=PI*SlotW+ 2.*(SlotL-SlotW)

SLotA=(PI/4.)*SlotW*SlotW + SlotW*(SlotL-SlotW)

SLotDH=4.*SlotA/SlotP

SlotR=0.205

SlotSpacing=2.

SoDh=SlotSpacing/(12.*SlotDh)

Zjet=1.25

ZoDh=Zjet/(12.*SlotDh)

C E X I T S L O T G E O M E T R Y

ESlotL=0.68

ESlotL=ESlotL/12.

ESlotW=0.25

ESlotW=ESlotW/12.

ESlotP=PI*ESlotW+2.*(ESlotL-ESlotW)

ESlotA=(PI/4.)*ESlotW*ESlotW+ESlotW*(ESlotL-ESlotW)

ESlotDH=4.*ESlotA/ESlotP

AreaR=(NCO*SlotA)/(NE*ESlotA)

ESlotR=0.125

ESlotSpacing=2.

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96

write(7,999)NCO,144.*SlotA,12.*SlotP,12.*SlotDH,SlotR,SoDh,

&ZoDh,NTurb,TurbHeight,TurbWidth,TurbLength,TurbRadius,TurbGap,

&TurbSpacing,PartThick,SupHeight,SupBmin,SupBmax,SupSide,

&SupLength,12*TEheight,12*TEbmin,12*TEbmax,12*TEside,TElength,

&144.*TEcross,12.*TEDh,TEAR,NE,144.*ESlotA,12.*ESlotP,12.*ESlotDH,

&ESlotR,ESlotSpacing,AreaR,12.*Hlength,12.*Hwidth

999 format(/,

&5x,'# of Cross-Over Jets : ',i2,/,

&5x,'Inlet Slot Cross-Sectional Area',f12.6,' sq.in.',/,

&5x,'Inlet Slot Perimeter',f12.6,' inches',/,

&5x,'Inlet Slot Hydraulic Diameter',f12.6,' inches',/,

&5x,'Inlet Slot Corner Radius',f9.3,' inches',/,

&5x,'Jet Spacing, S/Dh',f6.3,/,

&5x,'Jet Spacing, Z/Dh',f6.3,/,

&5x,'# of Turbulators',I3,/,

&5x,'Turbulator Height',f6.3,' inches',/,

&5x,'Turbulator Width',f6.3,' inches',/,

&5x,'Turbulator Length',f6.3,' inches',/,

&5x,'Turbulator Corner Radius',f9.3,' inches',/,

&5x,'Turbulator Gap',f6.3,' inches',/,

&5x,'Turbulator Spacing',f6.1,' inches',/,

&5x,'Partition Wall Thickness',f6.1,' inches',/,

&5x,'Supply Channel Height',f6.1,' inches',/,

&5x,'Supply Channel Smaller Base',f6.2,' inches',/,

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97

&5x,'Supply Channel Larger Base',f6.2,' inches',/,

&5x,'Supply Channel Side',f12.6,' inches',/,

&5x,'Supply Channel Length',f6.1,' inches',/,

&5x,'TE Channel Height',f6.1,' inches',/,

&5x,'TE Channel Smaller Base',f6.3,' inches',/,

&5x,'TE Channel Larger Base',f6.3,' inches',/,

&5x,'TE Channel Side',f12.6,' inches',/,

&5x,'TE Channel Length',f6.1,' inches',/,

&5x,'TE Channel Cross Sectional Area',f12.6,' square inches',/,

&5x,'TE Channel Hydraulic Diameter',f12.6,' inches',/,

&5x,'TE Channel Hydraulic Aspect Ratio',f12.6,' inches',/,

&5x,'# of Exit Slots : ',i2,/,

&5x,'Exit Slot Cross-Sectional Area',f12.6,' sq.in.',/,

&5x,'Exit Slot Perimeter',f12.6,' inches',/,

&5x,'Exit Slot Hydraulic Diameter',f12.6,' inches',/,

&5x,'Exit Slot Corner Radius',f6.3,' inches',/,

&5x,'Exit Slot Spacing',f6.1,' inches',/,

&5x,'Inlet-to-Exit Flow Area Ratio',f12.6,/,

&5x,'Heater Spreader Length',f6.1,' inches',/,

&5x,'Heater Spreader Width',f6.1,' inches',/)

C HEAT TRANSFER AREA

Area=Hwidth*Hlength ! sq.ft

if(TEslots.eq.0.)WRITE(7,111)Angle

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98

if(TEslots.eq.0.)WRITE(8,111)Angle

if(TEslots.eq.1.)WRITE(7,112)Angle

if(TEslots.eq.1.)WRITE(8,112)Angle

111 FORMAT('Cross-Over Slot Angle is :', F6.1,' Degrees',///,

&'TRALING-EDGE SLOTS ARE IN-LINE',//)

112 FORMAT('Cross-Over Slot Angle is :', F6.1,' Degrees',///,

&'TRALING-EDGE SLOTS ARE STAGGERED',//)

IEND=11

DO 333 I=1,IEND

READ(1,10)TITLE

WRITE(7,10)TITLE

333 WRITE(8,10)TITLE

10 FORMAT(A80,//)

WRITE(8,450)

450 FORMAT(' PHOTO Rej Nuj hj Uncer ',//)

Reold=11200

DO 1 I=1,NP

read(1,400)PICTURES

read(1,*)Pven,Tven,Tin1,Tin2,Tjet,Tend1,Tend2,Tamb,V1,A1,

&V2,A2,V3,A3,flag,Pplen,Psup1,Psup2,Psup3,Pend1,Pend2,

&Dporif,Pamb

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99

400 FORMAT(A8)

WRITE(7,*)' '

WRITE(7,*)' '

WRITE(7,*)' '

WRITE(7,100)PICTURES

WRITE(7,*)' '

WRITE(7,*)'Collected Data: PHOTO,Pven,Pplen,Psup1,Psup2,Psup3'

WRITE(7,*)'Pend1,Pend2,DPorif,Pamb'

WRITE(7,*)'V1,A1,V2,A2,V3,A3,Tven,Tin1,Tin2,Tjet,Tend1,Tend2,Tamb'

WRITE(7,*)' '

WRITE(7,200)PICTURES,Pven,Pplen,Psup1,Psup2,Psup3,Pend1,Pend2,DPorif,

&Pamb

WRITE(7,210)V1,A1,V2,A2,V3,A3

WRITE(7,211)Tven,Tin1,Tin2,Tend1,Tend2,Tamb

200 FORMAT(4X,A8,' ',F7.3,' ',F7.3,' ',F7.3,' ',F7.3,' ',F7.3,

&' ',F7.3,' ',F7.3,' ',F7.3,' ',F7.2)

210 FORMAT(' ',F7.2,' ',F7.4,' ',F7.2,' ',F7.4,' ',F7.2,' ',F7.4)

211 FORMAT(' ',F5.1,' ',F5.1,' ',F5.1,' ',F5.1,' ',F5.1,' ',F5.1)

Pamb =Pamb*Hgtopsi

Pdown=0.5*(Pdown1+Pdown2)

if(flag.eq.1)Pup =2*Pup*H2otopsi+Pamb ! psi

if(flag.eq.1)Pdown=2*Pdown*H2otopsi+Pamb ! psi

if(flag.eq.2)Pup =Pup*Oiltopsi+Pamb ! psi

if(flag.eq.2)Pdown=Pdown*Oiltopsi+Pamb ! psi

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100

if(flag.eq.3)Pup =Pup*Hgtopsi+Pamb ! psi

if(flag.eq.3)Pdown=Pdown*Hgtopsi+Pamb ! psi

Tin=0.5*(Tin1+Tin2)

Tm=Tjet ! NOTE; Tm=Tjet is used for h calculation, not calculated Tm which is a few degrees

higher.

C AIR MASS FLOW RATE FROM THE CRITICAL VENTURI

Mv=F1(Athroat,Pven+Pamb,Tven+460.)

Dporif=Dporif*Oiltopsi

Pf=Dporif+Pamb

Tabs=Tend2+460.

tipmass=F2(Pf,Dporif,Tabs)

ratiof=tipmass/Mv

C TOTAL HEAT ADDED TO THE AIR BY THE HEATERS FROM THE

C INLET TO THE POINT IN QUESTION

Q=V1*A1+V2*A2+V3*A3

Q=Q*FAC1

C HEAT FLUX, BTU/(sqft.Sec)

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101

Fluxb=V2*A2*FAC1/(Area)

CALL COEFFICIENT(Q,Fluxb,Tm,Tback,hturb,Floss,PHOTO,fluxnet)

C FILM TEMPERATURE

TF=(Tback+Tm)/2.

C DENSITY AT JET TEMPERATURE

RHO=(Pdown*144.)/(Rgas*(Tjet+460.))

C OTHER PROPERTIES AT JET TEMPERATURE

TjR=Tjet+460.

CALL AIRPROP(TjR,GAMA,CON,VIS,PR,CP)

VIS=VIS/3600.

C WRITE(6,*)' Ratio=',CON/SlotDH

C JET REYNOLDS NUMBER

Rej=4.*(Mv/NCO)/(SlotP*VIS)

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C NUSSELT NUMBER

Nuj=Hturb*SlotDH/Con

C UNCERTAINTY ANALYSIS

CALL UNCERTAIN(V1,A1,V2,A2,V3,A3,

&Area,Tback,Tin,Pven+Pamb,Floss,Uncer)

WRITE(7,300)Tin,Tjet,Tm,3600*Vis,con,Mv,Rej

WRITE(7,401)Hturb,Nuj,Uncer

if((abs(Reold-Rej)/Reold).gt.0.1)WRITE(2,*)' '

WRITE(2,*)Rej,Nuj

WRITE(7,399)Pup,Pdown

WRITE(8,400)PICTURES

WRITE(8,403)Rej,Nuj,Hturb,Uncer

Reold=Rej

doverk=SlotDH/con

1 CONTINUE

403 FORMAT(1X,E11.5,1X,E11.5,1X,E11.5,1X,E9.3)

100 FORMAT(/,30X,'PHOTOS ',A8)

300 FORMAT(/,1X,'Tin=',F6.2,1X,'Tjet=',F6.2,1X,'Tm=',F6.2,1X,

&'vis=',f8.4,' lbm/hr.ft',1x,'con=',f8.4,' BTU/hr.ft.R',

&1X,'Mv=',E12.5,1x,'Rej=',F8.1)

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103

401 FORMAT(1X,'Nuj=',F8.3,2X,' h=',F9.4,2X,

&'% Uncer (in h) =',F7.2)

399 FORMAT(1X,'Press Upstream of Slots=',F9.4,' psi',5X,

&'Test Sect Press =',F9.4,' psi',/)

STOP

END

SUBROUTINE UNCERTAIN(V1,I1,V2,I2,V3,I3,Area,Tback,Tin,

&P1,Floss,Uncer)

IMPLICIT REAL*8(A-H,O-Z)

REAL*8 I1,I2,I3

a=.220174

b=231.182609

dv1=.01

dv2=.01

dv3=.01

di1=.001

di2=.001

di3=.001

da2=1./(32.*32.)

dts=0.5

dti=0.5

dp1=0.5

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104

Ts=Tback

Ti=Tin

FAC=491.355778

Floss=Floss/FAC

DFloss=0.1*Floss

a2=144*Area

H=(V2*I2/A2-Floss)/(Ts-Ti-(V1*I1+V2*I2+V3*I3)/(A+B*P1))

WRITE(5,*)' heat transfer coeff., h, =',H*FAC,' BUT/hr.sqft.F'

H2=H*H

C

C i2 v2

C ----- - Floss

C a2

C -----------------------------------

C i3 v3 + i2 v2 + i1 v1

C - ----------------------- + ts - ti

C b p1 + a

C

DHDI1=v1*(i2*v2/a2-Floss)/((b*p1+a)*(-(i3*v3+i2*v2+i1*v1)/

&(b*p1+a)+ts-ti)**2)

ZI1=(DI1*DHDI1)**2

DHDV1=i1*(i2*v2/a2-Floss)/((b*p1+a)*(-(i3*v3+i2*v2+i1*v1)/

&(b*p1+a)+ts-ti)**2)

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105

ZV1=(DV1*DHDV1)**2

DHDI3=v3*(i2*v2/a2-Floss)/((b*p1+a)*(-(i3*v3+i2*v2+i1*v1)/

&(b*p1+a)+ts-ti)**2)

ZI3=(DI3*DHDI3)**2

DHDV3=i3*(i2*v2/a2-Floss)/((b*p1+a)*(-(i3*v3+i2*v2+i1*v1)/

&(b*p1+a)+ts-ti)**2)

ZV3=(DV3*DHDV3)**2

DHDI2=v2/(a2*(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+ts-ti))+v2*

&(i2*v2/a2-Floss)/((b*p1+a)*(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+

&ts-ti)**2)

ZI2=(DI2*DHDI2)**2

DHDV2=i2/(a2*(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+ts-ti))+i2*

&(i2*v2/a2-Floss)/((b*p1+a)*(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+

&ts-ti)**2)

ZV2=(DV2*DHDV2)**2

DHDA2=-i2*v2/(a2**2*(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+ts-ti))

ZA2=(DA2*DHDA2)**2

DHDTS=-(i2*v2/a2-Floss)/(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+ts-ti)**2

ZTS=(DTS*DHDTS)**2

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106

DHDTI=(i2*v2/a2-Floss)/(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+ts-ti)**2

ZTI=(DTI*DHDTI)**2

DHDP1=-b*(i2*v2/a2-Floss)*(i3*v3+i2*v2+i1*v1)/((b*p1+a)**2*

&(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+ts-ti)**2)

ZP1=(DP1*DHDP1)**2

DHDFloss=-Floss/(-(i3*v3+i2*v2+i1*v1)/(b*p1+a)+ts-ti)

ZFloss=(DFloss*DFloss)**2

Uncer=100*SQRT((ZI1+ZI2+ZI3+ZV1+ZV2+ZV3+ZA2+ZTS+ZTI+

&ZP1+ZFloss)/(H2))

WRITE(5,*)' '

WRITE(5,*)' UNCERTAINTY IN HEAT TRANSFER',

&' COEFFICIENT'

WRITE(5,*)' '

WRITE(5,*)' TOTAL UNCERTAINTY % ',Uncer

WRITE(5,*)' % Uncertainty assoc. with I1',100.*sqrt(ZI1)/H

WRITE(5,*)' % Uncertainty assoc. with V1',100.*sqrt(ZV1)/H

WRITE(5,*)' % Uncertainty assoc. with I2',100.*sqrt(ZI2)/H

WRITE(5,*)' % Uncertainty assoc. with V2',100.*sqrt(ZV2)/H

WRITE(5,*)' % Uncertainty assoc. with I3',100.*sqrt(ZI3)/H

WRITE(5,*)' % Uncertainty assoc. with V3',100.*sqrt(ZV3)/H

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107

WRITE(5,*)' % Uncertainty assoc. with A2',100.*sqrt(ZA2)/H

WRITE(5,*)' % Uncertainty assoc. with Ts',100.*sqrt(ZTS)/H

WRITE(5,*)' % Uncertainty assoc. with Tin',100.*sqrt(ZTI)/H

WRITE(5,*)' % Uncertainty assoc. with Pven',100.*sqrt(ZP1)/H

WRITE(5,*)' % Uncertainty assoc. with Floss',100.*sqrt(ZFLOSS)/H

RETURN

END

SUBROUTINE EQSOLVE(A,B,NA,NDIM,NB)

IMPLICIT REAL*8(A-H,O-Z)

DIMENSION A(NDIM,NDIM),B(NDIM,NB)

DO 291 J1=1,NA

C FIND REMAINING ROW CONTAINING LARGEST ABSOLUTE

C VALUE IN PIVOTAL COLUMN.

101 TEMP=0.

DO 121 J2=J1,NA

IF(ABS(A(J2,J1))-TEMP) 121,111,111

111 TEMP=ABS(A(J2,J1))

IBIG=J2

121 CONTINUE

IF(IBIG-J1)5001,201,131

C REARRANGING ROWS TO PLACE LARGEST ABSOLUTE

C VALUE IN PIVOT POSITION.

131 DO 141 J2=J1,NA

TEMP=A(J1,J2)

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108

A(J1,J2)=A(IBIG,J2)

141 A(IBIG,J2)=TEMP

DO 161 J2=1,NB

TEMP=B(J1,J2)

B(J1,J2)=B(IBIG,J2)

161 B(IBIG,J2)=TEMP

C COMPUTE COEFFICIENTS IN PIVOTAL ROW.

201 TEMP=A(J1,J1)

DO 221 J2=J1,NA

221 A(J1,J2)=A(J1,J2)/TEMP

DO 231 J2=1,NB

231 B(J1,J2)=B(J1,J2)/TEMP

IF(J1-NA)236,301,5001

C COMPUTE NEW COEFFICIENTS IN REMAINING ROWS.

236 N1=J1+1

DO 281 J2=N1,NA

TEMP=A(J2,J1)

DO 241 J3=N1,NA

241 A(J2,J3)=A(J2,J3)-TEMP*A(J1,J3)

DO 251 J3=1,NB

251 B(J2,J3)=B(J2,J3)-TEMP*B(J1,J3)

281 CONTINUE

291 CONTINUE

C OBTAINING SOLUTIONS BY BACK SUBSTITUTION.

301 IF(NA-1)5001,5001,311

311 DO 391 J1=1,NB

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109

N1=NA

321 DO 341 J2=N1,NA

341 B(N1-1,J1)=B(N1-1,J1)-B(J2,J1)*A(N1-1,J2)

N1=N1-1

IF(N1-1)5001,391,321

391 CONTINUE

5001 CONTINUE

RETURN

END

SUBROUTINE RAD(AR,Width,Length,Tback,Ttop,Tfront,Tbot,

&Frback,Frtop,Frfront,Frbot)

IMPLICIT REAL*8(A-H,O-Z)

REAL*8 Length

DIMENSION A(4,4),B(4,1),E(4),T(4),Q(4)

W=Width

H=AR*Width

H=H/Length

W=W/Length

T(1)=Tback + 460.

T(2)=Ttop + 460.

T(3)=Tfront+ 460.

T(4)=Tbot + 460.

C Emissivities

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110

E(1)=.85 ! Liquid Crystal Foil

E(2)=.85 ! Plexiglas

E(3)=.85 ! Plexiglas

E(4)=.85 ! Plexiglas

N=4

PI=4.*ATAN(1.E00)

SIGMA=0.1712E-08

C WRITE(7,150)

150 FORMAT(//,20X,'SHAPE FACTORS',//)

C Shape Factors

F11=0.

W2=W*W

H2=H*H

Z1=1./(PI*W)

Z2=W*ATAN(1./W)

Z3=H*ATAN(1./H)

Z=SQRT(H2+W2)

Z4=-Z*ATAN(1./Z)

Z=(1.+W2)*(1.+H2)

ZZ=1.+W2+H2

ZZZ=Z/ZZ

Z=W2*ZZ/((1.+W2)*(W2+H2))

Z=Z**W2

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111

ZZZ=ZZZ*Z

Z=H2*ZZ/((1.+H2)*(W2+H2))

Z=Z**H2

ZZZ=ZZZ*Z

Z5=.25*LOG(ZZZ)

F12=Z1*(Z2+Z3+Z4+Z5)

F14=F12

F13=1.-F11-F12-F14

F31=F13

F32=F12

F33=0.

F34=F14

DUM=W

W=H

H=DUM

W2=W*W

H2=H*H

Z1=1./(PI*W)

Z2=W*ATAN(1./W)

Z3=H*ATAN(1./H)

Z=SQRT(H2+W2)

Z4=-Z*ATAN(1./Z)

Z=(1.+W2)*(1.+H2)

ZZ=1.+W2+H2

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112

ZZZ=Z/ZZ

Z=W2*ZZ/((1.+W2)*(W2+H2))

Z=Z**W2

ZZZ=ZZZ*Z

Z=H2*ZZ/((1.+H2)*(W2+H2))

Z=Z**H2

ZZZ=ZZZ*Z

Z5=.25*LOG(ZZZ)

F21=Z1*(Z2+Z3+Z4+Z5)

F22=0.

F23=F21

F24=1.-F21-F22-F23

F41=F21

F42=F24

F43=F23

F44=0.

C

C WRITE(7,110)F11,F12,F13,F14

C WRITE(7,120)F21,F22,F23,F24

C WRITE(7,130)F31,F32,F33,F34

C WRITE(7,140)F41,F42,F43,F44

C

110 FORMAT(5X,'F11=',F6.4,5X,'F12=',F6.4,5X,'F13=',F6.4,

&5X,'F14=',F6.4,/)

120 FORMAT(5X,'F21=',F6.4,5X,'F22=',F6.4,5X,'F23=',F6.4,

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113

&5X,'F24=',F6.4,/)

130 FORMAT(5X,'F31=',F6.4,5X,'F32=',F6.4,5X,'F33=',F6.4,

&5X,'F34=',F6.4,/)

140 FORMAT(5X,'F41=',F6.4,5X,'F42=',F6.4,5X,'F43=',F6.4,

&5X,'F44=',F6.4,//)

C WRITE(7,160)

160 FORMAT(/,20X,'EMISSIVITIES',//)

C WRITE(7,100)(I,E(I),I=1,N)

C WRITE(7,170)

170 FORMAT(/,20X,'TEMPERATURES IN R',//)

C WRITE(7,100)(I,T(I),I=1,N)

A(1,1)=F11-1./(1.-E(1))

A(1,2)=F12

A(1,3)=F13

A(1,4)=F14

A(2,1)=F21

A(2,2)=F22-1./(1.-E(2))

A(2,3)=F23

A(2,4)=F24

A(3,1)=F31

A(3,2)=F32

A(3,3)=F33-1./(1.-E(3))

A(3,4)=F34

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114

A(4,1)=F41

A(4,2)=F42

A(4,3)=F43

A(4,4)=F44-1./(1.-E(4))

C WRITE(7,180)

180 FORMAT(//,20X,'COEFFICIENT MATRIX',/)

C WRITE(7,200)((A(I,J),J=1,N),I=1,N)

DO I=1,N

B(I,1)=-E(I)*SIGMA*(T(I)**2.)*(T(I)**2.)/(1.-E(I))

ENDDO

C WRITE(7,250)

C WRITE(7,100)(I,B(I,1),I=1,N)

200 FORMAT(1X,4E15.6)

250 FORMAT(/,20X,'RIGHT HAND SIDE ',/)

C WRITE(7,55)

55 FORMAT(//,20X,'GAUSSIAN ELIMINATION METHOD',/)

CALL EQSOLVE(A,B,N,N,1)

C WRITE(7,50)

C WRITE(7,100)(I,B(I,1),I=1,N)

DO I=1,N

Q(I)=E(I)*(SIGMA*(T(I)**2.)*(T(I)**2.)-B(I,1))/(1.-E(I))

ENDDO

Frback= q(1)

Frtop= q(2)

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115

Frfront=q(3)

Frbot= q(4)

C WRITE(7,350)

C WRITE(7,100)(I,Q(I),I=1,N)

100 FORMAT(4(I3,E15.6))

50 FORMAT(/,20X,'RADIOCITIES',/)

350 FORMAT(/,20X,'HEAT FLUXES IN BTU/hr.sqft',/)

RETURN

END

SUBROUTINE COEFFICIENT(Q,Fluxb,Tm,Tback,hback,Floss,PHOTO,fluxnet)

IMPLICIT REAL*8(A-H,O-Z)

REAL*8 kinc,kadh,kkap,kmyl,kpoly,ksty,kblack,kliq,kplex,

&Length,Mv

COMMON Bmax,Bmin,Width,Length,Hlength,Rgas,Mv,

&Tin,Tamb,Pdown,Tliquid,AR

C B A C K W A L L (LIQUID CRYSTAL WALL)

C FROM THE CENTER OF HEATING ELEMENT TO THE AMBIENT AIR

C 0.25 mil INCONEL HEATING ELEMENT ----- 0.5 mil ADHESIVE ----- 0.5 mil

C KAPTON ---- 2 mil ADHESIVE ----- 1.625 inches POLYURETHANE ----

C 2.0 inches STYROFOAM ---- AMBIENT

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116

C tinc1/kinc -- tadh1/kadh -- tkap1/kkap -- tadh4/kadh -- tpoly/kpoly

C -- tsty/ksty -- 1/ho

C FROM THE CENTER OF HEATING ELEMENT TO THE AIR INSIDE THE TEST SECTION

C 0.25 mil INCONEL HEATING ELEMENT ----- 1.0 mil ADHESIVE ----- 2.0 mil

C KAPTON ---- 1.0 mil ADHESIVE ----- 0.5 mil INCONEL SPREADER ---- 1.0 mil

C ADHESIVE ---- 2.0 mil KAPTON ---- 1.5 mil ADHESIVE ---- 3.0 mil

C ABSORPTIVE BLACK BACKGROUND ---- 2.0 mil LIQUID CRYSTAL ---- 5.0 mil

C MYLAR ---- AIR INSIDE THE TEST SECTION

C tinc1/kinc -- tadh2/kadh -- tkap2/kkap -- tadh2/kadh -- tinc2/kinc --

C tadh2/kadh -- tkap2/kkap -- tadh3/kadh -- tblack/kblack -- tliq/kliq --

C tmyl/kmyl -- 1/hi

C F R O N T W A L L (CAMERA SIDE)

C TOTAL RESISTANCE

C AIR INSIDE THE TEST SECTION ---- 0.45 inches PLEXIGLAS ---- AMBIENT

C 1/hi -- tplex/kplex -- 1/ho

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117

C Heat transfer coefficient on the outer surface

De=7./12. ! ft, test section side with insulation

TambR=Tamb+460.

CALL AIRPROP(TambR,Gama,CON,VIS,PR,CP)

ho=0.36*con/De ! Ozisik, Page 443

tinc1 = 0.25e-03/12. ! MINCO's fact sheet

tinc2 = 0.50e-03/12.

tadh1 = 0.5e-03/12. ! MINCO's fact sheet

tadh2 = 1.0e-03/12.

tadh3 = 1.5e-03/12.

tadh4 = 2.0e-03/12.

tkap1 = 0.5e-03/12. ! MINCO's fact sheet

tkap2 = 2.0e-03/12.

tpoly = 3./12.

tplex = 0.5/12.

tsty = 2./12.

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tblack = 3.0e-03/12. ! absorptive black background (from DAVIS)

tliq = 2.0e-03/12. ! liquid crystal thickness (from DAVIS)

tmyl = 5.0e-03/12. ! MYLAR thickness (from DAVIS)

kkap = 0.0942 ! BTU/hr.ft.F MINCO (0.163 W/m.K) agrees with

! Sam Spring's 0.095 BTU/hr.ft.F

ksty = 0.02 ! BTU/hr.ft.F Sam Spring

kpoly = 0.0333 ! BTU/hr.ft.F from GOLDENWEST INC. R=2.5-2.75

! hr.(sqft)/BTU.in

kplex = 0.11 ! BTU/hr.ft.F AIN Plastics k=1.3 BTU/hr.F.sqft/in,

! same given by 1-800-523-7500

kmyl = 0.085 ! BTU/hr.ft.F Abauf's serpentine report, page 19

kadh = 0.1272 ! BTU/hr.ft.F MINCO (0.220 W/m.K)

kinc = 9.0152 ! BTU/hr.ft.F MINCO (inconel 600 K=15.6 W/m.K)

kblack = 0.165 ! BTU/hr.ft.F Glycerin

kliq = 0.165 ! BTU/hr.ft.F Glycerin

Rinc1 = tinc1/kinc

Rinc2 = tinc2/kinc

Radh1 = tadh1/kadh

Radh2 = tadh2/kadh

Radh3 = tadh3/kadh

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Radh4 = tadh4/kadh

Rkap1 = tkap1/kkap

Rkap2 = tkap2/kkap

Rpoly = tpoly/kpoly

Rsty = tsty/ksty

Rplex= tplex/kplex

Rblack = tblack/kblack

Rliq = tliq/kliq

Rmyl = tmyl/kmyl

C write(6,*)Rmyl

Rconv = 1./ho

Rback = 0.5*Rinc1 + Radh1 + Rkap1 + Radh4 + Rpoly + Rconv

Rfront =0.5*Rinc1 + Radh2 + Rkap2 + Radh2 + Rinc2 + Radh2 +

&Rkap2 + Radh3 + Rblack + Rliq

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Fluxtop=0.

Fluxf=0.

Fluxbot=0.

Theater = (fluxb+Tamb/Rback+Tliquid/Rfront)/

&(1./Rback+1./Rfront)

C loss from the back side

flback = (Theater-Tamb)/Rback

ffront = (Theater-Tliquid)/Rfront

C Surface temperature, Ts

C write(6,*)'tmyl, kmyl,Rmyl,ffront, DT',12*tmyl,kmyl,Rmyl,ffront,ffront*Rmyl

C write(6,*)'DT',ffront*Rmyl

Tback= Tliquid -ffront*Rmyl

Tf=0.5*(Tm+Tback)

perloss=100.*(flback/fluxb)

WRITE(7,*)' '

WRITE(7,*)' LIQUID CRYTAL SIDE'

WRITE(7,*)' '

WRITE(7,101)Theater,fluxb,flback,ffront,

& perloss,Tliquid,Tback,Tamb,ho

100 FORMAT(/,5X,'HEATER TEMPERATURE = ',F8.3,' F',/,

&5X,'TOTAL HEAT FLUX = ',F8.3,' BTU/hr.sqft',/,

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&5X,'HEAT FLUX TO THE BACK = ',F8.3,' BTU/hr.sqft',/,

&5X,'HEAT FLUX TO THE FRONT = ',F8.3,' BTU/hr.sqft',/,

&5X,'% OF HEAT LOST FROM THE BACK SIDE = ',F8.3,/,

&5X,'LIQUID CRYSTAL TEMPERATURE = ',F8.3,' F',/,

&5X,'SURFACE TEMPERATURE = ',F8.3,' F',/,

&5X,'AMBIENT TEMPERATURE = ',F8.3,' F',/,

&5X,'Uinf where camera is located= ',F8.3,' ft/s',/,

&5X,'Re based on the test section outer dimension= ',E13.6,/,

&5X,'Outer heat transfer coefficient= ',F8.3,

&' BTU/hr.sqft.F')

101 FORMAT(/,5X,'HEATER TEMPERATURE = ',F8.3,' F',/,

&5X,'TOTAL HEAT FLUX = ',F8.3,' BTU/hr.sqft',/,

&5X,'HEAT FLUX TO THE BACK = ',F8.3,' BTU/hr.sqft',/,

&5X,'HEAT FLUX TO THE FRONT = ',F8.3,' BTU/hr.sqft',/,

&5X,'% OF HEAT LOST FROM THE BACK SIDE = ',F8.3,/,

&5X,'LIQUID CRYSTAL TEMPERATURE = ',F8.3,' F',/,

&5X,'SURFACE TEMPERATURE = ',F8.3,' F',/,

&5X,'AMBIENT TEMPERATURE = ',F8.3,' F',/,

&5X,'Outer heat transfer coefficient= ',F8.3,

&' BTU/hr.sqft.F')

Abot= 3.*Bmax*Hlength

Atop= 3.*Bmin*Hlength

Aback =3.*Width*Hlength

Afront=Aback

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! AIR INLET PROPERTIES

TinR=Tin+460.

CALL AIRPROP(TinR,gamin,CONin,VISin,PRin,CPin)

! FLUX LOSSES FROM TOP, BOTTOM AND FRONT WALLS

! T O P W A L L

C Rtop=Rplex+Rconv

Ttop=Tm

C Fltop=(Ttop-Tamb)/Rtop ! Losses from top

! B O T T O M W A L L

C Rbot=Rplex+Rsty+Rconv

Tbot=Tin

C Flbot=(Tbot-Tamb)/Rbot

! F R O N T W A L L

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R1=Rplex+Rconv !from surface to ambient

! INITIAL GUESSES

hback=(Fluxb-Flback)/(Tback-Tm)

hfront=hback

Tfront=Tm

DO I = 1,20

R3=1./hfront !convective resistance

! RADIATIONAL LOSSES

call rad(AR,Width,Length,Tback,Ttop,Tfront,Tbot,

&Frback,Frtop,Frfront,Frbot)

TfrontN=((1./R3)*Tm+(1./R1)*Tamb-Frfront)/((1./R1)+(1./R3))

IF(ABS(TfrontN-Tfront).LE.0.001) GO TO 999

Tfront=TfrontN

Flfront=(Tfront-Tamb)/R1

Flbot=0. ! For this geometry

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Fltop=0. ! For this geometry

! TOTAL HEAT LOSS TO THE AMBIENT

Qwaste=Fltop*Atop+Flbot*Abot+Flfront*Afront+Flback*Aback

! NET HEAT ADDED TO THE AIR FROM THE INLET TO THE POINT IN QUESTION

Qadd = Q-Qwaste

! AIR MIXED MEAN ENTHALPY AT THE POINT WHERE THE HEAT TRANSFER

! COEFFICIENT IS BEING MEASURED

TmCAL=Tin+(Qadd)/(3600.*Mv*CPin) ! Energy balance

! HEAT TRANSFER COEFFICIENT FROM THE NEWTON LAW OF COOLING

Floss=Flback+Frback

hback=(Fluxb-Flback-Frback)/(Tback-Tm)

hfront=hback

ENDDO

WRITE(7,*)' did not convergance after 20 iterations'

GO TO 998

999 WRITE(7,*)' convergance after',I,' iterations'

998 write(7,110)Tback,Ttop,Tfront,Tbot

110 FORMAT(5x,'Back, Top, Front and Botom Wall Temperatures: ',

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&/,10x,4F10.2,' F')

C For CFD use

fluxnet=(Fluxb-Flback-Frback)

C

write(7,115)TmCAL,Tf

115 FORMAT(5X,'Cal. Air Mixed Mean and Film Temperatures',2F9.3,' F')

write(7,170)Q

170 format(5x,'Total Elect. Power=',F8.3,' BTU/hr')

write(7,116)Qwaste

116 FORMAT(5X,'Total Heat Loss to Ambient=',F8.3,' BTU/hr')

write(7,190)Fluxb,Fluxtop,Fluxf,Fluxbot

190 FORMAT(5X,'Heat Fluxes Generated by Back, Top, Front and'

&,' Bottom Heaters:',/,5x,4F11.3,' BTU/sqft.hr')

write(7,180)Flback,Fltop,Flfront,Flbot

180 FORMAT(5X,'Flux Losses from Back, Top, Front and'

&,' Bottom Surfaces:',/,10x,4F13.3,' BTU/sqft.hr')

write(7,150)Frback,Frtop,Frfront,Frbot

150 FORMAT(5X,'Radiative Fluxes from Back, Top, Front and'

&,' Bottom Surfaces:',/,10x,4F10.3,' BTU/sqft.hr')

RETURN

END

subroutine AIRPROP(t,gamx,kx,mux,prx,cpx)

IMPLICIT REAL*8(A-H,O-Z)

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126

c physical properties of dry air at one atmosphere

c ref: ge heat transfer handbook

c

c temperature range: 160 to 3960 deg. rankine

c -300 to 3500 deg. fahreinheit

c

c t - temperature, R

c gamx - ratios of specific heats

c kx - thermal conductivity, BTU/hr.ft.R

c mux - viscosity, lbm/hr.ft

c prx - prandtl no.

c cpx - specific heat, BTU/lbm.R

c

c

dimension tab(34),gam(34),pr(34),cp(34)

real*8 k(34),mu(34),kx,mux

data nent/34/

data tab/ 160., 260.,

& 360., 460., 560., 660., 760., 860., 960., 1060.,

& 1160., 1260., 1360., 1460., 1560., 1660., 1760., 1860.,

& 1960., 2060., 2160., 2260., 2360., 2460., 2560., 2660.,

& 2760., 2860., 2960., 3160., 3360., 3560., 3760., 3960./

data gam/ 1.417, 1.411,

& 1.406, 1.403, 1.401, 1.398, 1.395, 1.390, 1.385, 1.378,

& 1.372, 1.366, 1.360, 1.355, 1.350, 1.345, 1.340, 1.336,

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& 1.332, 1.328, 1.325, 1.321, 1.318, 1.315, 1.312, 1.309,

& 1.306, 1.303, 1.299, 1.293, 1.287, 1.281, 1.275, 1.269/

data k/ 0.0063,0.0086,

& 0.0108,0.0130,0.0154,0.0176,0.0198,0.0220,0.0243,0.0265,

& 0.0282,0.0301,0.0320,0.0338,0.0355,0.0370,0.0386,0.0405,

& 0.0422,0.0439,0.0455,0.0473,0.0490,0.0507,0.0525,0.0542,

& 0.0560,0.0578,0.0595,0.0632,0.0666,0.0702,0.0740,0.0780/

data mu/ 0.0130,0.0240,

& 0.0326,0.0394,0.0461,0.0519,0.0576,0.0627,0.0679,0.0721,

& 0.0766,0.0807,0.0847,0.0882,0.0920,0.0950,0.0980,0.1015,

& 0.1045,0.1075,0.1101,0.1110,0.1170,0.1200,0.1230,0.1265,

& 0.1300,0.1330,0.1360,0.1420,0.1480,0.1535,0.1595,0.1655/

data pr/ 0.7710,0.7590,

& 0.7390,0.7180,0.7030,0.6940,0.6860,0.6820,0.6790,0.6788,

& 0.6793,0.6811,0.6865,0.6880,0.6882,0.6885,0.6887,0.6890,

& 0.6891,0.6893,0.6895,0.6897,0.6899,0.6900,0.6902,0.6905,

& 0.6907,0.6909,0.6910,0.6913,0.6917,0.6921,0.6925,0.6929/

data cp/ 0.247, 0.242,

& 0.241, 0.240, 0.241, 0.242, 0.244, 0.246, 0.248, 0.251,

& 0.254, 0.257, 0.260, 0.264, 0.267, 0.270, 0.272, 0.275,

& 0.277, 0.279, 0.282, 0.284, 0.286, 0.288, 0.291, 0.293,

& 0.296, 0.298, 0.300, 0.305, 0.311, 0.318, 0.326, 0.338/

c

c

if(t.lt.tab(1)) print 510,t,tab(1)

510 format(" in airprop --- temp=",f8.1," is less than min temp",

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128

&" of ",f8.1)

if(t.gt.tab(nent)) print 520, t,tab(nent)

520 format(" in airprop --- temp=",f8.1," is greater than max",

&" temp of ",f8.1)

if(t-tab(1))120,120,100

100 if(tab(nent)-t)130,130,110

110 m=2

go to 140

120 j=1

go to 180

130 j=nent

go to 180

140 if(t-tab(m))160,170,150

150 m=m+1

go to 140

c

c -- Linear Interpolation ---

c

160 slp=(t-tab(m-1))/(tab(m)-tab(m-1))

mux= mu(m-1)+(mu(m)-mu(m-1))*slp

prx= pr(m-1)+(pr(m)-pr(m-1))*slp

cpx=cp(m-1)+(cp(m)-cp(m-1))*slp

kx=k(m-1)+(k(m)-k(m-1))*slp

gamx=gam(m-1)+(gam(m)-gam(m-1))*slp

go to 190

170 j=m

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129

go to 180

180 mux=mu(j)

prx=pr(j)

cpx=cp(j)

kx=k(j)

gamx=gam(j)

190 return

end

c

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130

Appendix D: Source code for Integarea.f

REAL Nu,Nuave

CHARACTER*80 TITLE

CHARACTER*8 PICTURES

open(unit=1,file='ph.in',status='old')

open(unit=2,file='area.dat',status='old')

open(unit=7,file='pl.dat',status='old')

open(unit=8,file='Nuave-plot.dat',status='old')

open(unit=9,file='have-plot.dat',status='old')

write(6,*)' WHICH AREA DO YOU WANT TO INTEGRATE?'

write(6,*)' '

read *, area

READ(1,*)NP

DO I=1,14

READ(1,100)TITLE

ENDDO

100 FORMAT(A80,//)

N=0

2 N=N+1

Reo=Re

IF(N.GT.NP) GO TO 3

read(2,400)PICTURES

400 FORMAT(A8)

if(area.eq.1)READ(2,*)A

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131

if(area.eq.2)READ(2,*)dum,A

if(area.eq.3)READ(2,*)dum,dum,A

if(area.eq.4)READ(2,*)dum,dum,dum,A

if(area.eq.5)READ(2,*)dum,dum,dum,dum,A

if(area.eq.6)READ(2,*)dum,dum,dum,dum,dum,A

if(area.eq.7)READ(2,*)dum,dum,dum,dum,dum,dum,A

if(area.eq.8)READ(2,*)dum,dum,dum,dum,dum,dum,dum,A

if(area.eq.9)READ(2,*)dum,dum,dum,dum,dum,dum,dum,dum,A

read(1,400)PICTURES

READ(1,*)Re,Nu,h,Uncer

IF(N.EQ.1) THEN

J=1

SUMRe=0.

SUMNu=0.

SUMh=0.

SUMunc=0.

SUMA=0.

GO TO 4

ENDIF

DIFF=ABS((Re-Reo)/Re)

IF(DIFF.GE..09)THEN

3 JTOT=J

J=1

Reave=SUMRe/JTOT

Nuave=SUMNu/SUMA

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have=SUMh/SUMA

Uncave=SUMunc/JTOT

WRITE(6,300)Reave,Nuave,have,Uncave,SUMA,JTOT

WRITE(7,300)Reave,Nuave,have,Uncave,SUMA,JTOT

WRITE(8,301)Reave,Nuave,have/Nuave

WRITE(9,301)Reave,have,have/Nuave

300 FORMAT(1X,5E12.5,I4)

301 FORMAT(1X,3E12.5)

IF(N.GT.NP) GO TO 99

SUMRe=0.

SUMNu=0.

SUMh=0.

SUMunc=0.

SUMA=0.

ELSE

J=J+1

ENDIF

4 SUMRe=SUMRe+Re

SUMNu=SUMNu+Nu*A

SUMh =SUMh +h*A

SUMunc=SUMunc+Uncer

SUMA=SUMA+A

GO TO 2

99 WRITE(6,200)

WRITE(7,200)

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133

200 FORMAT(5X,'Re',10X,'Nu',13X,'h',7X,'Uncer',

&9X,'Atot',5x,'# OF POINTS',/)

REWIND 1

READ(1,*)NP

DO I=1,14

READ(1,100)TITLE

WRITE(7,100)TITLE

ENDDO

STOP

END