Chezy Formula

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

Chezy formula applies to the steady velocity with turbulent flow in a open channel.

  • Abbreviated as Ch

formula

\(v =  C  \sqrt  { {r_h} m    }   \)

Where:

\(v\) = flow velocity

\(C\) = Chezy coefficient

\( r_h\) = hydraulic radius

\(m\) = slope

\( n\) = roughness coefficient

Solve for:

\(C =  \frac  { v  }    { \sqrt  { {r_h} m    }  } \)

\(t_h = \frac {1}{m}     \left( \frac{v}{C} \right) ^2   \)

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

\(C =  \frac {1}{n}   \left( r_h \right) ^{ \frac {1}{6}  } \)

\(n = \frac {1}{C}   \left( r_h \right) ^{ \frac {1}{6}  }   \)

\(r_h = \left( Cn \right) ^6  \)