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Experiment No.1 & 2

Orifice and free jet flow

Hydraulics CE-331

Lab

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EXPERIMENT 1

Objective

The objective is to determine the coefficient of velocity (Cv).

Method

By measurements of the trajectory of a jet issuing from an orifice in the side of reservoir under steady flow conditions (constant head).

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Equipment

•Hydraulics bench which allows us to measure flow by timed volume collection. •Orifice and jet apparatus.

Technical data

•Diameter of small orifice 3 mm = 0.003 m•Diameter of large orifice 6 mm = 0.006 m

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Theory

Vena contractaThe cross section where the contraction is greatest or where the area of the jet is minimum is called vena contracta .

The ratio of area jet Aj at vena contracta to area of orifice Ao is symbolised by coefficient of contraction. Cc = Aj / Ao

Consider a tank containing a liquid and with an orifice at its side wall at a depth H below the free surface

If we apply the Bernoulli’s equation between two the two points 1 at the free surface and point 2 at the vena contracta :

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Theory - Trajectory method

The actual velocity (Va) can be determined by measuring the position of a point on the trajectory of a free jet, down stream of the vena

contracta .

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Procedure

•Make sure that the reservoir is positioned across the channel on top of the hydraulic bench, and level the reservoir by the adjustable feet on the base.

• Measure and record the diameter of the orifice.

•Turn on the pump and open the valve gradually, as the water level rises in the reservoir, adjust the bench valve to give water level 2 to 3 mm above the overflow level. This gives a constant head and produces steady flow through the orifice. •Position the over flow tube to give high head. Note the value of the head. •Determine trajectory of the jet using the needles mounded on the vertical backboard to follow the profile of the jet. •Attach a sheet of paper to the back-board. •Mark the location of the top of each needle on the paper. •Measure the horizontal (x) and vertical (y) distances from the orifice.

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Taking a set of result

•Orifice diameter•Head•Horizontal distance•Vertical distance•(yh)^0.5•Slope of X vs (yh)^0.5•Cv = (average slope/2)

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Experimental Data

Orifice diameter, Do (m) Head , H (m)X, (m) Y, (m)(YH)^0.5 6 /1000265/1000 0

0.05 0.1 0.15 0.2 0.25 0.3

Orifice diameter, Do (m) Head , H (m)X, (m) Y, (m)(YH)^0.5 6 /1000350/1000 0

0.05 0.1 0.15 0.2 0.25 0.3

Orifice diameter, Do (m) Head , H (m)X, (m) Y, (m)(YH)^0.5 3 /1000265/1000 0

0.05 0.1 0.15 0.2 0.25 0.3

Orifice diameter, Do (m) Head , H (m)X, (m) Y, (m)(YH)^0.5 3 /1000350/1000 0

0.05 0.1 0.15 0.2 0.25 0.3

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Analysis

1 –Plot X vs. (YH)^0.5 and determine the slop of the graph.

Cv = average slop /2 Cv = X / ((2) (YH)^0.5)

Report writing

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Experiment No.2

Orifice and free jet flow

Hydraulics CE-331Lab

1111

Objective:

The objective is to determine the coefficient of discharge (Cd) and coefficient of contraction (Cc), of two small orifices .

Experiment No.2

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Procedures:

•Measure the flow rate using a measuring cylinder for a specific time (5 second).•Note the reservoir head value.•Repeat this procedure for different heads, by adjusting the level of overflow pipe.

Orifice daimter, Do (m) Head , H (m)volume (m3)time (s)Qa (m3/s)QthH^0.5

Experimental Data

Analysis

1 – Plot Qa vs. (H)^0.5 and determine the slop of the graph.

Cd = slope/(A(2.g)^0.5)