GATE CE 2016 Set 2 — Question 57
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Water Resources Engineering → Open Channel Flow → Critical Flow
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Question
A 3 m wide rectangular channel carries a flow of 6 . The depth of flow at a section P is 0.5 m. A flat-topped hump is to be placed at the downstream of the section P. Assume negligible energy loss between section P and hump, and consider as 9.81 . The maximum height of the hump (expressed in m) which will not change the depth of flow at section P is _________
Correct answer
0.19 to 0.21
Solution
Given:
Width m
Discharge
Depth at section P m
Acceleration due to gravity Discharge per unit width .Specific energy at section P ():
m.Critical depth ():
m.Minimum specific energy at the hump ():
m.The maximum height of the hump () that will not change the upstream depth occurs when the flow over the hump is critical:
m.Rounding to two decimal places, the maximum height is approximately 0.20 m.
Width m
Discharge
Depth at section P m
Acceleration due to gravity Discharge per unit width .Specific energy at section P ():
m.Critical depth ():
m.Minimum specific energy at the hump ():
m.The maximum height of the hump () that will not change the upstream depth occurs when the flow over the hump is critical:
m.Rounding to two decimal places, the maximum height is approximately 0.20 m.
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