Question
Download Solution PDFFor a given open channel, if the Chezy's coefficient (C) is decreased, then how will it affect the discharge (Q) of the flow?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFEffect of Chezy's Coefficient on Discharge in an Open Channel:
The discharge (Q) of the flow in an open channel is directly related to the Chezy's coefficient (C) through the Chezy's formula:
Q = \(AC \sqrt{RS}\)
Where:
- Q is the discharge.
- A is the cross-sectional area of flow.
- C is the Chezy's coefficient.
- R is the hydraulic radius (ratio of the cross-sectional area to the wetted perimeter).
- S is the slope of the energy grade line.
Chezy's Coefficient (C): It is a dimensionless parameter that depends on the roughness of the channel surface and affects the velocity of the flow. A higher C indicates a smoother channel with higher flow velocity, while a lower C indicates a rougher channel with lower flow velocity.
Impact on Discharge (Q):
If the Chezy's coefficient (C) decreases, it directly decreases the value of the discharge (Q). This is because Q is directly proportional to C. As C decreases, the overall flow velocity decreases, which in turn reduces the discharge.
Conclusion: If the Chezy's coefficient (C) is decreased, the discharge (Q) will decrease.
Last updated on May 28, 2025
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