# 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:

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