Allied & ICAR Exam Bank • ALLIED_1167 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics in SWCE

Subtopic: Darcy-Weisbach Friction

Question Statement:

Water flows through a 100 m long pipe of diameter $D = 0.2\text{ m}$ at an average velocity $V = 2.0\text{ m/s}$. If the Darcy-Weisbach friction factor is $f = 0.02$, taking $g = 9.81\text{ m/s}^2$, the head loss due to pipe friction $h_f$ (in m) is:

Answer Key:

2.04

Step-by-Step Solution & Explanation

$h_f = \frac{f L V^2}{2 g D} = \frac{0.02 \times 100 \times 2^2}{2 \times 9.81 \times 0.2} = \frac{8.0}{3.924} \approx 2.039\text{ m}$.
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