Question

Which one of the following condition is a typical characteristics of critical flow? (Symbols have their usual meaning)

• A. \( \frac{Q^2 T}{gA^3} = 1 \)
• B. \( \frac{Q^2}{gA^2} = 1 \)
• C. \( \frac{Q^2}{gA^2} = 2 \)
• D. \( \frac{Q^2 T}{gA^2} = 1 \)

Hint:

Critical flow occurs when the Froude number is equal to 1. This condition relates the discharge, cross-sectional area, and gravitational acceleration.

Answer 1

The Correct Option is B

The critical flow condition is expressed by the equation: \[ \frac{Q^2}{gA^2} = 1 \] In this equation, \( Q \) signifies the discharge, \( A \) denotes the cross-sectional area, and \( g \) represents the acceleration due to gravity. The flow is defined as critical when this equation is satisfied.
Final Answer: \[ \boxed{\frac{Q^2}{gA^2} = 1} \]