Question Bank • QB_IDE_CONV_008 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Irrigation Water Conveyance and Application Methods

Subtopic: Design of irrigation channels and underground pipelines

Question Statement:

Water is conveyed through an underground PVC irrigation pipeline of internal diameter $D = 0.20\text{ m}$. The pipeline carries a steady discharge $Q = 0.062832\text{ m}^3\text{/s}$ ($= 20\pi\text{ L/s}$). Taking $\pi = 3.1416$, the mean flow velocity in the pipeline in $\text{m/s}$ is ________ (round off to 2 decimal places).

Answer Key:

2.00

Step-by-Step Solution & Explanation

1. Pipe cross-sectional area: $A = \frac{\pi}{4} D^2 = \frac{3.1416}{4} \times (0.20)^2 = 0.7854 \times 0.04 = 0.031416\text{ m}^2$ 2. Mean velocity: $v = \frac{Q}{A} = \frac{0.062832\text{ m}^3\text{/s}}{0.031416\text{ m}^2} = 2.0\text{ m/s}$
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