GATE CE 2024 Set 2 — Question 59
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Water Resources Engineering → Open Channel Flow → Critical Flow
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Question
A rectangular channel is 4.0 m wide and carries a discharge of 2.0 m/s with a depth of 0.4 m. The channel transitions to a maximum width contraction at a downstream location, without influencing the upstream flow conditions. The width (in meters) at the maximum contraction is ________________ (rounded off to 2 decimal places).
Correct answer
3.3 to 3.7
Solution
1.Calculate the specific energy at the upstream section (Section 1):
m, m/s, mm/s
m
2.For maximum width contraction without affecting upstream conditions, the flow at the contracted section (Section 2) must be critical:
m3.For a rectangular channel, critical depth is related to specific energy by:
m4.The critical discharge per unit width is:
m/s5.The width at the maximum contraction is:
mRounding to two decimal places, we get 3.53 m.Continue learning with Success Tracker
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