GATE CE 2023 Set 1 — Question 60
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Water Resources Engineering → Hydraulic Jump & Varied Flow → Specific Force & Momentum
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Question
A hydraulic jump occurs in a wide horizontal, frictionless, rectangular channel, with a pre-jump depth of and a post-jump depth of . The value of may be taken as . The values of the specific force at the pre-jump and post-jump sections are same and are equal to (in , rounded off to two decimal places) _____________ .
Correct answer
0.6 to 0.64
Solution
The specific force () for a rectangular channel is defined as the sum of the pressure force and the momentum flux per unit weight of the fluid:where is the discharge, is the acceleration due to gravity, is the cross-sectional area, and is the depth of the centroid of the area from the free surface.For a rectangular channel of width and depth :
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