Froude Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Froude number, abbreviated as Fr, a 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 calculator

   

 

Froude number formula

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

Where:

 Units US Metric
\(\large{ Fr  }\) = Froude number \(\large{dimensionless}\)
\(\large{ g  }\) = gravitational acceleration \(\large{ \frac{ft}{sec^2}}\) \(\large{ \frac{m}{s^2}}\)
\(\large{ h_m }\) = mean depth \(\large{ft}\) \(\large{m}\)
\(\large{ v  }\) = velocity of flow \(\large{ \frac{ft}{sec}}\) \(\large{ \frac{m}{s}}\)

Solve For:

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

 

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Tags: Flow Equations Gravity Equations Force Equations Open Channel Equations Calculators