Question

The discharge passing over an ogee spillway per unit length of its apex line is proportional ___________________

(a) H

(b) H^2

(c) H^1/2

(d) H^3/2

The question was posed to me by my college professor while I was bunking the class.

The origin of the question is Ogee Profile in chapter Spillways, Energy Dissipators and Spillway Gates of Irrigation Engineering

Answer 1

Correct choice is (d) H^3/2

Explanation: The discharge passing over the ogee spillway is given by the formula –

Q = C. Le. H^3/2 where Le is the effective length of the spillway crest, C is the coefficient of discharge and H is the total head over the crest including the velocity head.

It is clear from the discharge equation that the discharge is proportional to H^3/2.