Cauchy Number

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The Cauchy Number is a dimensionless value useful for analyzing fluid flow dynamics problems where compressibility is a significant factor.

The Cauchy Number is the ratio between inertial and the compressibility force in a flow and can be expressed as

C = ρ v² / E          (1)

where

C = Cauchy Number

ρ = density (kg/m³)

v = flow velocity (m/s)

E = bulk modulus elasticity (N/m²)

The bulk modulus elasticity has the dimension pressure and is commonly used to characterize the compressibility of a fluid.

The Cauchy Number is the square of the Mach Number

M² = C  (3)

where

M = Mach Number

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Related Topics

• Fluid Mechanics - The study of fluids - liquids and gases. Involves various properties of the fluid, such as velocity, pressure, density and temperature, as functions of space and time.

Related Documents

• Bulk Modulus and Fluid Elasticity - Introduction and definition of Bulk Modulus Elasticity - commonly used to characterize compressibility of fluids
• Density, Specific Weight and Specific Gravity - An introduction and definition of density, specific weight and specific gravity - formulas with examples
• Mach Number - Introduction and definition of the Mach Number