Civil Engineering MCQAE Level Civil Engineering
The discharge over a sharp-crested rectangular weir of width L and head H (neglecting end contractions and velocity of approach) is:
Fluid MechanicsWeir DischargeMEDIUM
Choose the correct answer
A
Q = (2/3) Cd L sqrt(2g) H^(3/2)
B
Q = Cd L H sqrt(2gH)
C
Q = (1/2) Cd L sqrt(g) H^2
D
Q = Cd L H^(3/2)
Correct Answer
A. Q = (2/3) Cd L sqrt(2g) H^(3/2)
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Q = (2/3) x Cd x L x sqrt(2g) x H^(3/2). This is derived by integrating the velocity profile over the weir height. With Cd = 0.611 and g = 9.81: Q = 1.84 L H^(3/2) (Francis formula).
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