GATE CE 2025 Set 1 — Question 62
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Water Resources Engineering → Open Channel Flow → Critical Flow
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Question
A 5.0 m wide rectangular channel carries a discharge of 10 at a depth of 1.5 m under uniform flow. To produce critical flow conditions without affecting the upstream conditions, the channel bottom elevation should be raised (in m) by __________________ (rounded off to 2 decimal places). Assume that there is no loss of head at the raise, kinetic energy correction factor is 1.0, and acceleration due to gravity is 9.81 .
Correct answer
0.45 to 0.51
Solution
Given:
Width,
Discharge,
Initial depth,
Step 1: Calculate initial specific energy ().
Velocity,
Step 2: Calculate critical depth ().
Discharge per unit width,
Step 3: Calculate minimum specific energy () at critical flow.
Step 4: Calculate the required hump height ().
To reach critical flow without affecting upstream conditions:
Rounding to 2 decimal places, we get 0.48.
Width,
Discharge,
Initial depth,
Step 1: Calculate initial specific energy ().
Velocity,
Step 2: Calculate critical depth ().
Discharge per unit width,
Step 3: Calculate minimum specific energy () at critical flow.
Step 4: Calculate the required hump height ().
To reach critical flow without affecting upstream conditions:
Rounding to 2 decimal places, we get 0.48.
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