GATE AG 2025 • Q46 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics

Subtopic: Flow through orifices, weirs and notches

Question Statement:

Water flows through a 90° V-notch weir, Cd = 0.6, head above notch H = 49 cm, g = 9.81 m/s². Find the discharge (m³/s). (Rounded to 2 decimal places)

Official Answer Key:

0.21 to 0.29

Step-by-Step Solution & Explanation

For a 90° V-notch: Q = (8/15)Cd√(2g)·tan(θ/2)·H^(5/2), with tan(45°)=1. Q = (8/15)(0.6)(√19.62)(0.49)^2.5 = 0.32×4.429×0.1682 = 0.238 m³/s.

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