Question

The sequent ratio in a hydraulic jump formed in a horizontal rectangular channel is 16.48. The Froude number of the Supercritical stream is:

• A. 4.0
• B. 3.0
• C. 12.0
• D. 14.0

Hint:

The sequent depth ratio in a hydraulic jump can be used to calculate the Froude number of the supercritical stream, which is crucial for analyzing open channel flow.

Answer 1

The Correct Option is A

The sequent depth ratio \( \lambda \) for a hydraulic jump is related to the Froude number \( Fr_1 \) of the supercritical flow by the equation: \[ \lambda = \frac{1}{2} \left( Fr_1^2 + \sqrt{(Fr_1^2)^2 + 8Fr_1^2} \right) \] Given: \[ \lambda = 16.48 \] Using the sequent ratio equation and solving for \( Fr_1 \), we get: \[ Fr_1 = 4.0 \]
Final Answer: \[ \boxed{4.0} \]