Flow Through Open Channels - Describe the flow of a fluid through open channel. What is the formula to calculate flow and discharge through open channel.
According to Chezy formula, the mean velocity of liquid,
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)
where
C = Chezy's constant,
A = Area of flow,
m = Hydraulic mean depth
= Area of flow (A) / Wetted perimeter (P)
= d/4, for circular pipe
According to Chezy formula, the mean velocity of liquid,
where
C = Chezy's constant,
A = Area of flow,
m = Hydraulic mean depth
= Area of flow (A) / Wetted perimeter (P)
= d/4, for circular pipe
According to Manning's formula, discharge through an open channel,
![](data:image/png;base64,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)
where
M = Manning's constant.
where
M = Manning's constant.
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