Question Bank • QB_SWCE_EXP_066 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow in open channels

Question Statement:

A wide rectangular open channel carries water at a uniform flow depth of $y = 1.2\text{ m}$ and flow velocity $v = 2.4\text{ m/s}$. Calculate the Froude number ($Fr = \frac{v}{\sqrt{g y}}$) of the flow. (Take $g = 9.81\text{ m/s}^2$)

Answer Key:

0.7

Step-by-Step Solution & Explanation

$Fr = \frac{v}{\sqrt{g y}} = \frac{2.4}{\sqrt{9.81 \times 1.2}} = \frac{2.4}{\sqrt{11.772}} = \frac{2.4}{3.431} \approx 0.6995$ (Since $Fr < 1$, the flow is subcritical).
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