GATE CE 2025 Set 2 — Question 42
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Water Resources Engineering → Open Channel Flow → Critical Flow
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Question
Consider flow in a long and very wide rectangular open channel. Width of the channel can be considered as infinity compared to the depth of flow. Uniform flow depth is . The bed slope of the channel is . The Manning roughness coefficient value is . Acceleration due to gravity, can be taken as .The critical depth (in m) corresponding to the flow rate resulting from the above conditions is ______ (round off to one decimal place).
Correct answer
(B) 0.3
Solution
1.Given Data:
- Uniform flow depth,
- Bed slope,
- Manning's coefficient,
- Gravity,
- For a very wide channel, hydraulic radius .
3.Calculate Discharge per unit width ():
4.Calculate Critical Depth ():
For a rectangular channel, 5.Rounding:
Rounding to one decimal place, we get .Continue learning with Success Tracker
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