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In Francis empirical expression for discharge, the relation between head of water and discharge is

(a) Q is directly proportional to H

(b) Q is directly proportional to H^1.5

(c) Q is directly proportional to H^2.5

(d) Q is directly proportional to H^0.5

The question was posed to me in an international level competition.

My question comes from Time Required to Empty a Reservoir with  Weirs or Notches topic in portion Orifices, Mouthpieces, Notches and Weirs of Fluid Mechanics

1 Answer

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Best answer
Right choice is (b) Q is directly proportional to H^1.5

The best explanation: In Francis empirical expression for discharge, the relation between head of water and discharge is Q is directly proportional to H^1.5.

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