The sequent depth ratio in a hydraulic jump formed in a rectangul

The sequent depth ratio in a hydraulic jump formed in a rectangul
| The sequent depth ratio in a hydraulic jump formed in a rectangular horizontal channel is 10. The Froude number of the supercritical flow is 

A. 12.2

B. 10.4

C. 7.42

D. 4.21

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

Concept:

The relation between pre-jump, post-jump, and Froude number is given by,

\(\frac{{{y_2}}}{{{y_1}}} = \frac{1}{2}\left[ {\sqrt {1 + 8F_{r1}^2} - 1} \right] \)

Where,

y2 = Post jump depth

y1 = Pre-jump depth

F1 = Froude number before the jump

Calculation:

\(\frac{{{y_2}}}{{{y_1}}} = \frac{1}{2}\left[ {\sqrt {1 + 8F_{r1}^2} - 1} \right] = 10\)

On solving we get,

Fr1 = 7.416