GATE CE 2022 Set 1 — Question 58
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Water Resources Engineering → Open Channel Flow → Critical Flow
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Question
Depth of water flowing in a 3 m wide rectangular channel is 2 m. The channel carries a discharge of 12 m/s. Take m/s.The bed width (in m) at contraction, which just causes the critical flow, is _________ without changing the upstream water level. (round off to two decimal places)
Correct answer
2.05 to 2.35
Solution
1.Calculate the upstream specific energy ():
Upstream depth m, width m, discharge m/s.Upstream velocity m/s.
m.
2.At the contraction, critical flow occurs without changing the upstream water level, so the specific energy at the contraction () equals :
m.3.For a rectangular channel, critical depth is related to specific energy by:
m.4.Calculate the critical discharge per unit width ():
m/s.5.Calculate the bed width at contraction ():
m.Rounding to two decimal places, the bed width is 2.15 m.Continue learning with Success Tracker
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