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CHE 493: Fluid Mechanics

Tutorial PressureManometer 2

1. A manometer connected to pipe in which a fluid is flowing indicates a negative gaugepressure head of 50 mm of mercury. What is the absolute pressure in the pipe in N/m

2

if

the atmospheric pressure is 100 kPa.

2. The pressure difference between an oil pipe and water pipe is measured by a double-fluid manometer as shown in Figure 1. For a given fluid heights and specific gravities,

calculate the pressure difference P = PB- PA

Figure 1: Double fluid manometer

3. The maximum blood pressure in the upper arm of a healthy person about 120 mmHg. Ifa vertical tube open to the atmosphere is connected to the vein in the arm of the person

(figure below), determine how high the blood will rise in the tube. Take the density of

the blood is 1050 kg/m3.

Figure 2: Vertical tube connected to a vein

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4. The inverted U-tube manometer in Figure below, contain oil (s.g 0.9) and water as shown inFigure 3. The pressure differential between pipes A and B, (PAPB) is -5 kPa. Detemine the

differential reading, h.

Figure 3: Differential U-tube manometer

5. Freshwater and seawater flowing in parallel horizontal pipelines are connected to eachother by a double U-tube manometer, as shown in Figure 4. Determine the pressure

difference between the two pipelines. Take the densities of seawater at that location tobe = 1035kg/m3. Can the air be ignored in the analysis? (hw= 60 cm, hHg= 10 cm, hair

= 70 cm, hsea= 40cm).

Figure 4: Differential double U-tube manometer

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6. A closed cylindrical tank filled with water has a hemispherical dome and is connected toan inverted piping system as shown in Figure 5. The liquid in the top part of the piping

system has a specific gravity of 0.8, and the remaining parts of the system are filled with

water. If the pressure gage reading at A is 60 kPa, determine:

i) Pressure in pipe B.ii) The pressure head, in mmHg, at top of the dome (point C).

Figure 5: Cylindrical tank connected to a pipe

7. Two water tanks are connected to each other through a mercury manometer withinclined tubes. If the pressure difference between the two tanks is 20 kPa determine a

and . Take the specific gravity of mercury and density of water as 13.6 and 1000 kg/m3

respectively.

Figure 6: Water tanks connected to an inclined tube manometer