GATE CE 2021 Set 2 — Question 41
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Water Resources Engineering → Open Channel Flow → Critical Flow
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Question
A rectangular open channel of width is carrying a discharge of . Consider the acceleration due to gravity as and assume water as incompressible and inviscid. The depth of flow in the channel at which the specific energy of the flowing water is minimum for the given discharge will then be
Correct answer
(B) 1.04 m
Solution
For minimum specific energy in an open channel, the flow must be at critical depth ().
The critical depth for a rectangular channel is given by the formula:
where is the discharge per unit width (), is the total discharge, is the channel width, and is the acceleration due to gravity.Given:
First, calculate the discharge per unit width :
Now, calculate the critical depth :
Rounding to two decimal places, .Therefore, the depth of flow at which the specific energy is minimum is .The final answer is
The critical depth for a rectangular channel is given by the formula:
where is the discharge per unit width (), is the total discharge, is the channel width, and is the acceleration due to gravity.Given:
First, calculate the discharge per unit width :
Now, calculate the critical depth :
Rounding to two decimal places, .Therefore, the depth of flow at which the specific energy is minimum is .The final answer is
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