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 CALCULATOR

 

 

Cauchy Number formula

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

Where:

Units	English	Metric
\(\large{ Ca  }\) = Cauchy number	\(\large{dimensionless}\)
\(\large{ B }\) = bulk modulus elasticity	\(\large{\frac{lbm}{in^2}}\)	\(\large{Pa}\)
\(\large{ \rho  }\)  (Greek symbol rho) = density	\(\large{\frac{lbm}{ft^3}}\)	\(\large{\frac{kg}{m^3}}\)
\(\large{ v  }\) = velocity of flow	\(\large{\frac{ft}{sec}}\)	\(\large{\frac{m}{s}}\)