Question Bank • QB_SWCE_EXP_091 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow in open channels

Question Statement:

A wide rectangular channel of bed slope $S_0 = 0.0004$ carries water at a depth of $1.5\text{ m}$ ($R \approx y = 1.5\text{ m}$). If Manning's roughness coefficient is $n = 0.02$, calculate the flow velocity in $\text{m/s}$ using Manning's equation $v = \frac{1}{n} R^{2/3} S_0^{1/2}$.

Answer Key:

1.31

Step-by-Step Solution & Explanation

$R^{2/3} = (1.5)^{2/3} \approx 1.31037$ $S_0^{1/2} = \sqrt{0.0004} = 0.02$ $v = \frac{1}{0.02} \times 1.31037 \times 0.02 = 1.31037\text{ m/s}$
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