Cauchy Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Cauchy Number

Cauchy number ( \(Ca\) ) (dimensionless number) is expressing the ratio of inertial force to compressibility force in a flow.

Cauchy Number FORMULA

\(\large{ Ca =  \frac {v^2   \rho  }  { B }      }\)         

Where:

\(\large{ Ca  }\) = Cauchy number

\(\large{ B }\) = bulk modulus elasticity

\(\large{ \rho  }\)  (Greek symbol rho) = density

\(\large{ v  }\) = flow velocity

Solve for:

\(\large{ B =  \frac {v^2  \rho}  { Ca }  }\)

\(\large{ \rho =  \frac {Ca  B}  { v^2  }    }\)

\(\large{ v =  \sqrt { \frac {Ca   B}{\rho}  }  }\)

Cauchy Number CALCULATOR

 

 

Tags: Equations for Force