Question Bank • QB_IDE_EXP_013 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Irrigation Water Conveyance and Application Methods

Subtopic: Surface, sprinkler and micro irrigation methods

Question Statement:

A sprinkler nozzle has a nozzle diameter of $5.0\text{ mm}$ and operates at a pressure head of $30.0\text{ m}$. If the coefficient of discharge $C_d = 0.96$, the discharge of the nozzle in liters per second ($\text{L/s}$) is ________ (round off to 2 decimal places). Take $g = 9.81\text{ m/s}^2$.

Answer Key:

0.46

Step-by-Step Solution & Explanation

1. Nozzle area $a = \frac{\pi}{4} d^2$: $a = \frac{\pi}{4} (0.005)^2 = 1.9635 \times 10^{-5}\text{ m}^2$ 2. Torricelli velocity $V = \sqrt{2 g H}$: $V = \sqrt{2 \times 9.81 \times 30.0} = \sqrt{588.6} \approx 24.261\text{ m/s}$ 3. Discharge $q = C_d a V$: $q = 0.96 \times (1.9635 \times 10^{-5}) \times 24.261 \approx 4.573 \times 10^{-4}\text{ m}^3\text{/s} = 0.457\text{ L/s} \approx 0.46\text{ L/s}$
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