Question Bank • QB_SWCE_EXP_058 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow in open channels

Question Statement:

A rectangular open drainage channel of width $4.0\text{ m}$ carries water at a depth of $1.5\text{ m}$. Calculate the hydraulic radius $R$ of the channel in $\text{meters}$.

Answer Key:

0.857

Step-by-Step Solution & Explanation

Flow area $A = 4.0 \times 1.5 = 6.0\text{ m}^2$. Wetted perimeter $P = B + 2y = 4.0 + 2(1.5) = 7.0\text{ m}$. Hydraulic radius: $R = \frac{A}{P} = \frac{6.0}{7.0} \approx 0.8571\text{ m}$
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