Cauchy Number
Analyze fluid flow dynamics by calculating the Cauchy Number, a dimensionless value representing the ratio between inertial force and compressibility force in a flow.
Cauchy Number Calculator
The Cauchy Number is a dimensionless value useful for analyzing fluid flow dynamics problems where compressibility is a significant factor.
Formula
C = ρ v² / E
Where:
- C = Cauchy Number
- ρ = Fluid density (kg/m³)
- v = Flow velocity (m/s)
- E = Bulk modulus of elasticity (N/m²)
Relationship to Mach Number
The Cauchy Number is the square of the Mach Number:
M² = C
Where M = Mach Number