Cauchy Number

Cauchy number, abbreviated as Ca, a dimensionless number expressing 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 FORMULA

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

Where:

\(\large{ Ca  }\) = Cauchy number

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

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

\(\large{ v  }\) = velocity of the flow

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