Cauchy Number

Cauchy number, abbreviated as Ca, a dimensionless number, is the ratio of inertial force to compressibility force in a flow.  When the compressibility is important the elastic forces must be considered along with inertial forces.

 

Cauchy Number formulas

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

Where:

\(\large{ Ca  }\) = Cauchy number

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

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

\(\large{ v  }\) = velocity of flow

 

Cauchy Number CALCULATOR