Question Bank • QB_SWCE_EXP_071 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow in open channels

Question Statement:

In a horizontal rectangular flume of width $2.0\text{ m}$, a hydraulic jump occurs where the initial pre-jump depth is $y_1 = 0.20\text{ m}$ and the initial Froude number is $Fr_1 = 4.0$. Using the Belanger momentum equation $\frac{y_2}{y_1} = \frac{1}{2} \left( \sqrt{1 + 8 Fr_1^2} - 1 \right)$, calculate the sequent depth $y_2$ after the jump in $\text{meters}$.

Answer Key:

1.036

Step-by-Step Solution & Explanation

$\sqrt{1 + 8 Fr_1^2} = \sqrt{1 + 8(4)^2} = \sqrt{1 + 128} = \sqrt{129} \approx 11.3578$ $\frac{y_2}{y_1} = \frac{1}{2} (11.3578 - 1) = \frac{10.3578}{2} = 5.1789$ $y_2 = 5.1789 \times 0.20 \approx 1.0358\text{ m}$
← Previous (QB_SWCE_EXP_066) Next (QB_SWCE_EXP_081) →

Practice In Authentic CBT Exam Interface

Test your skills under authentic timed conditions with live scoring and AIR percentile ranking.

Launch CBT Mock Test