Allied & ICAR Exam Bank • ALLIED_0883 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Open Channel Flow

Subtopic: Open Channel Flow

Question Statement:

In a channel reach, bed slope is $S_0 = 0.0012$, energy friction slope is $S_f = 0.0004$, and Froude number is $Fr = 0.5$ (so $Fr^2 = 0.25$, $1 - Fr^2 = 0.75$). The water surface slope $\frac{dy}{dx} = \frac{0.0012 - 0.0004}{0.75} = \frac{0.0008}{0.75}$ in dimensionless units (rounded off to four decimal places) is:

Answer Key:

0.0011

Step-by-Step Solution & Explanation

$\frac{dy}{dx} = 0.0008 / 0.75 = 0.001067 \approx 0.0011$.
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