Froude Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Froude Number

Froude number ( \(Fr\) ) (dimensionless number) is the ratio of inertial force to gravitational force. It is used for wave and surface behavior for mixed natural and forced convection.

Froude Number FORMULA

\(Fr =  \frac { V }  { \sqrt { g \;  h_m }  }  \)          \( Froude \; number  \;=\;    \frac { velocity }  { \sqrt {  gravitational \; acceleration  \;\;x\;\;  mean \; depth }  }  \)

Where:

\(Fr  \) = Froude number

\(V  \) = flow velocity

\(g  \) = gravitational acceleration

\(h_m \) = mean depth

Solve for:

\(V =  Fr \sqrt { g \; h_m }  \)

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

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

 

Tags: Equations for Gravity Equations for Force