Question Bank • QB_EXP_SWCE_ENR_004 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Specific Energy, Critical Flow & Hydraulic Jump

Subtopic: Specific energy and critical flow

Question Statement:

Referring to the specific energy curve $E$ vs $y$ for a rectangular channel with unit discharge $q = 2.5\text{ m}^3/(\text{s}\cdot\text{m})$, calculate the minimum specific energy $E_{\text{min}}$ in meters (round off to two decimal places).

Answer Key:

1.3

Step-by-Step Solution & Explanation

$y_c = (q^2/g)^{1/3} = (6.25/9.81)^{1/3} = (0.6371)^{1/3} = 0.860\text{ m}$. Minimum specific energy for rectangular channel: $E_{\text{min}} = 1.5 y_c = 1.5 \times 0.860 = 1.29\text{ m}$.
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