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 equation for critical flow is given by: \[ \frac{Q^2}{gA^2} = 1 \] This equation represents the condition for the critical flow in an open channel where: - \( Q \) = discharge - \( A \) = cross-sectional area - \( g \) = acceleration due to gravity When this equation holds true, the flow is considered to be critical.
Final Answer: \[ \boxed{\frac{Q^2}{gA^2} = 1} \]