GATE CE 2017 Set 1 — Question 48
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Water Resources Engineering → Open Channel Flow → Energy-Depth Relationships
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Question
A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure.
It is observed that the depth of flow is upstream of the gate, while the depth is downstream of the gate. Assuming a smooth flow transition across the sluice gate, i.e., without any energy loss, and the acceleration due to gravity as , the discharge (in , up to two decimal places) passing under the sluice gate is ___________

Correct answer
0.8 to 0.83
Solution
Applying Bernoulli's equation between the upstream (1) and downstream (2) sections, assuming no energy loss:From continuity for unit width ():Substituting into Bernoulli's equation:Given , , and :
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