The Cauchy number, is a dimensionless number in fluid dynamics used in the study of compressible flows. It is named after the French mathematician Augustin Louis Cauchy. When the compressibility is important the elastic forces must be considered along with inertial forces for dynamic similarity. Thus, the Cauchy Number is defined as the ratio between inertial and the compressibility force (elastic force) in a flow and can be expressed as
- ,
where
- = density of fluid, (SI units: kg/m3)
- = local fluid velocity, (SI units: m/s)
- = bulk modulus of elasticity, (SI units: Pa)
Read more about Cauchy Number: Relation Between Cauchy Number and Mach Number
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