Formula if not clear: Figure if not clear:Contracted Rectangular 1. Pestengular

Question

Formula if not clear:

Figure if not clear:Contracted Rectangular

1. Pestengular weit also de the figure L1, the larw rate can be calculated Q --e, --Vago - Figure LI 12 In a lab experiment with 5 different flow rates, the volume of water passing through the weir and the corresponding time, as well as the head of water (b) are measured and recorded in the Table 1. For each flow rate, the time and volume are measured twice for accuracy purposes. If the width of the weir (b) for this experiment is 3cm, determine discharge coefficient (Ca) for this system. Table 1. Weir experiment recordings Rect. Weir Volume (Liters) Time () h (mm) QI trial 1 trial 2 1 9.05 Q2 trial 1 6.25 trial 2 27 6.12 Q3 trial i 4.06 trial 2 4.15 32 trial 1 7.08 trial 2 7.08 Q5 trial 1 6.12 trial 2 Q4 38 53 6.27

Explanation / Answer

In the question given above it is required to find the coeffecient of discharge for rectangular weir using the equation

Q= (2/3) Cd 2g BH^(3/2)

Also two measurements are recorded for each H value and thus we will determine average discharge and put it in the equation stated above to calculate Cd value for a given H value as :

When H = 12 mm , Qavg = 0.1108 l/s = 0.1108 x10^-3 m3/s ; Cd = 0.95

When H = 27 mm , Qavg = 0.3234 x 10^-3 m3/s ; Cd = 0.82

When H = 32 mm ; Qavg = 0.7309 x 10^-3 m3/s ; Cd = 1.44

When H = 38 mm ; Qavg = 0.5649 x 10^-3 m3/s ; Cd = 0.86

When H =53 mm ; Qavg = 0.8072 x 10^-3 m3/s ; Cd =0.75

Thus Cd = Cd avg = (0.95+0.82+1.44+0.86+0.75)/5 = 0.964

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