Chezy Formula

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Chezy formula, abbreviated as Ch, applies to the steady velocity with turbulent flow in a open channel.

 

Chezy formula

\(\large{ v =  C \; \sqrt{  r_h \; m }   }\)   

Where:

 Units English Metric
\(\large{ v }\) = flow velocity \(\large{\frac{ft^3}{min}}\) \(\large{\frac{m^3}{s}}\)
\(\large{ C }\) = Chezy coefficient \(\large{in^3}\) \(\large{mm^3}\)
\(\large{ r_h }\) = hydraulic radius \(\large{\frac{rotation}{min}}\) \(\large{\frac{rotation}{s}}\)
\(\large{ m }\) = slope dimensionless

Solve For:

\(\large{ C = \frac{ v }{ \sqrt{ r_h \; m } }  }\)   
\(\large{ r_h = \frac{ 1 }{ m } \; \left( \frac{ v }{ C } \right)^2  }\)   
\(\large{ m = \frac{ 1 }{ r_h } \; \left( \frac{ v }{ C } \right)^2  }\)   

 

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Tags: Velocity Equations Flow Equations Open Channel Equations