GATE CE 2019 Set 2 — Question 58
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Water Resources Engineering → Hydraulic Jump & Varied Flow → Hydraulic Jump
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Question
At the foot of a spillway, water flows at a depth of with a velocity of , as shown in the figure.
The flow enters as an M-3 profile in the long wide rectangular channel with bed slope and Manning's . A hydraulic jump is formed at a certain distance from the foot of the spillway. Assume the acceleration due to gravity, . Just before the hydraulic jump, the depth of flow (in m, round off to 2 decimal places) is ________
Correct answer
0.41 to 0.43
Solution
1.Calculate Discharge per unit width ():
2.Calculate Normal Depth ():
For a wide rectangular channel, 3.Determine Jump Condition:
In a long channel, the jump will occur such that the post-jump depth equals the normal depth of the downstream flow. So, .4.Calculate Pre-jump Depth ():
Using the conjugate depth relationship: Solving for leads to the quadratic form: Rounding to 2 decimal places, .Continue learning with Success Tracker
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