GATE CE 2023 Set 1 — Question 43
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Water Resources Engineering → Hydraulic Jump & Varied Flow → Classification of GVF Profiles
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Question
A very wide rectangular channel carries a discharge () of per meter width. Its bed slope changes from to at a point , as shown in the figure (not to scale). The Manning’s roughness coefficient of the channel is . What water surface profile(s) exist(s) near the point ?
Correct answer
(A) M₂ and S₂
Solution
1.Calculate critical depth ():
2.Calculate normal depth for the first slope ():
Since , the first slope is a Mild () slope.
3.Calculate normal depth for the second slope ():
Since , the second slope is a Steep () slope.
4.Profile transition:
At the break in slope from mild to steep, the flow passes through critical depth (). On the mild slope, the depth drops from towards , forming an profile. On the steep slope, the depth drops from towards , forming an profile. Thus, both and profiles exist near point .Continue learning with Success Tracker
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