Allied & ICAR Exam Bank • ALLIED_1159 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Open Channel Flow

Subtopic: Hydraulic Jump

Question Statement:

In a horizontal rectangular stilling basin, the initial depth before a hydraulic jump is $y_1 = 0.2\text{ m}$ with Froude number $Fr_1 = 3.0$. The sequent depth $y_2$ (in m) after the jump is: (using $y_2 = \frac{y_1}{2} \left(\sqrt{1 + 8 Fr_1^2} - 1\right)$)

Answer Key:

0.75

Step-by-Step Solution & Explanation

$y_2 = \frac{0.2}{2} \left(\sqrt{1 + 8(3^2)} - 1\right) = 0.1 \left(\sqrt{1 + 72} - 1\right) = 0.1 \left(\sqrt{73} - 1\right) = 0.1 (8.544 - 1) = 0.1 (7.544) \approx 0.754\text{ m}$.
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