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Hydraulics - Engineering

Q1:

The discharge through a V-notch weir varies as

A H

B 1/H

C H3/2

D H7/2

E H5/2.

ANS:D - H7/2

Apologies for the confusion. It seems there was an error in the initial response. The discharge through a V-notch weir typically varies as 5/2H5/2, not 7/2H7/2. Here's a brief explanation: In the context of a V-notch weir, the discharge Q is often expressed as a function of the head H of water over the notch. The general formula for the discharge Q through a V-notch weir is given by: 5/2Q=C×H5/2 Where:

  • Q is the discharge rate,
  • C is a constant that depends on the geometry of the V-notch and other factors,
  • H is the head of water over the notch.
This formula is derived from theoretical and experimental analyses of fluid flow over the weir crest. The exponent 5/25/2 arises from the mathematics of fluid flow through a V-notch, and it represents the relationship between the discharge and the head of water. Therefore, 5/2H5/2 is the correct term to describe the variation of discharge through a V-notch weir, not 7/2H7/2. Thank you for your patience, and I apologize for any confusion caused by the earlier response.