GATE CE 2021 Set 1 — Question 19
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Water Resources Engineering → Open Channel Flow → Most Economical Section
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Question
If water is flowing at the same depth in most hydraulically efficient triangular and rectangular channel sections then the ratio of hydraulic radius of triangular section to that of rectangular section is
Correct answer
(A) 1√(2)
Solution
Let the depth of flow be .
Area,
Wetted perimeter,
Hydraulic radius,
Top width,
Area,
Wetted perimeter,
Hydraulic radius,
1.Most efficient rectangular section:
For maximum efficiency, width .Area,
Wetted perimeter,
Hydraulic radius,
2.Most efficient triangular section:
For maximum efficiency, the side slopes are ( with vertical).Top width,
Area,
Wetted perimeter,
Hydraulic radius,
3.Ratio of hydraulic radii:
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