Froude Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Froude number, abbreviated Fr, is a dimensionless number which is the ratio of inertial force to gravitational force. It is used for wave and surface behavior for mixed natural and forced convection.

 

\(\large{ Fr =  \frac { v }  { \sqrt { g \;  h_m }  }  }\)         

Where:

\(\large{ Fr  }\) = Froude number

\(\large{ v  }\) = flow velocity

\(\large{ g  }\) = gravitational acceleration

\(\large{ h_m }\) = mean depth

Solve for:

\(\large{ v =  Fr \sqrt { g \; h_m }  }\)

\(\large{ g =  \frac {v^2}  { h_m \;  {Fr}^2  }    }\)

\(\large{ h_m =  \frac {v^2}  { g \; {Fr}^2  }  }\)

Tags: Equations for Gravity Equations for Force