Cauchy Number
Cauchy Number
Cauchy number ( \(Ca\) ) (dimensionless number) is expressing the ratio of inertial force to compressibility force in a flow.
Cauchy Number FORMULA
\(Ca = \frac {v^2 \rho } { B } \) \( Cauchy \; number \;=\; \frac { flow \; velocity^2 \;\;x\;\; density } { bulk \; modulus \; elasticity } \)
Where:
\(Ca \) = Cauchy number
\(B\) = bulk modulus elasticity
\(\rho \) (Greek symbol rho) = density
\(v \) = flow velocity
Solve for:
\(B = \frac {v^2 \rho} { Ca } \)
\(\rho = \frac {Ca B} { v^2 } \)
\(v = \sqrt { \frac {Ca B}{\rho} } \)
Cauchy Number CALCULATOR
Tags: Equations for Force