Allied & ICAR Exam Bank • ALLIED_0352 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics in SWCE

Subtopic: Fluid Mechanics in SWCE

Question Statement:

Water flows at velocity $v = 2.0\text{ m/s}$ through a pipe of diameter $D = 0.2\text{ m}$ and length $L = 100\text{ m}$. Darcy-Weisbach friction factor $f = 0.02$. Taking $g = 9.81\text{ m/s}^2$, the head loss due to friction in meters is (rounded off to two decimal places):

Answer Key:

2.04

Step-by-Step Solution & Explanation

$h_f = \frac{0.02 \times 100 \times (2.0)^2}{2 \times 9.81 \times 0.2} = \frac{8.0}{3.924} = 2.0387\text{ m} \approx 2.04\text{ m}$.
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