Cauchy Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

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 formula

\(\large{ Ca =  \frac{v^2 \;  \rho  }{ B }      }\) 
Symbol 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 \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)

 

Cauchy Number CALCULATOR

 

 

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Tags: Force Equations Calculators