Question Bank • QB_EXP_SWCE_ENR_001 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Specific Energy, Critical Flow & Hydraulic Jump

Subtopic: Specific energy and critical flow

Question Statement:

In a rectangular open channel illustrated in the specific energy diagram, the unit discharge $q = 2.0\text{ m}^3/(\text{s}\cdot\text{m})$. Taking $g = 9.81\text{ m/s}^2$, calculate the critical depth $y_c$ in meters (round off to two decimal places).

Answer Key:

0.74

Step-by-Step Solution & Explanation

$y_c = \left( \frac{q^2}{g} \right)^{1/3} = \left( \frac{2.0^2}{9.81} \right)^{1/3} = (0.4077)^{1/3} \approx 0.741\text{ m}$.
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