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The most economical section of circular channel for maximum discharge is obtained when (Where, d is the diameter of circular section)
  • a)
    depth of water = 0.95 d
  • b)
    wetter perimeter = 2.6 d
  • c)
    hydraulic mean depth = 0.29 d
  • d)
    Any one of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The most economical section of circular channel for maximum discharge ...
D = depth of flow
d = diameter of pipe
Rm = Hydraulic Mean depth = A/P
Perimeter, P = αd
Condition for Maximum Discharge for Circular Section:
α = 154° = 2.65 radians
D = 0.95 d
Rm = 0.29 d
Condition for Maximum Velocity for Circular Section:
α = 128.75° = 2.25 radians
D = 0.81 d
Rm = 0.3 d
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The most economical section of circular channel for maximum discharge ...
Economical Section of Circular Channel for Maximum Discharge

The most economical section of circular channel for maximum discharge is obtained when:

- depth of water = 0.95 d
- wetter perimeter = 2.6 d
- hydraulic mean depth = 0.29 d

Explanation:

Depth of Water

The depth of water in a circular channel affects the flow velocity and the wetted perimeter. For maximum discharge, the depth of water should be 0.95 times the diameter of the circular section.

Wetter Perimeter

The wetter perimeter is the length of the perimeter in contact with water. It affects the frictional resistance to flow. For maximum discharge, the wetter perimeter should be 2.6 times the diameter of the circular section.

Hydraulic Mean Depth

The hydraulic mean depth is the ratio of the cross-sectional area to the wetted perimeter. It affects the resistance to flow. For maximum discharge, the hydraulic mean depth should be 0.29 times the diameter of the circular section.

Conclusion

The most economical section of circular channel for maximum discharge can be obtained by satisfying any one of the above conditions. By doing so, the flow velocity, frictional resistance to flow, and resistance to flow can be optimized, resulting in maximum discharge with minimum cost.
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The most economical section of circular channel for maximum discharge ...
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