# Cauchy Number Calculators

Calculate Cauchy Number

C=[d×V^2]/E
C = Cauchy Number
d = Density
V = Velocity
E = Bulk Modulus Elasticity

Flow Velocity:
Density:
Bulk Modulus Elasticity:

Result:

Cauchy Number:

Calculate Bulk Modulus Elasticity

E=[d×V^2]/C
E = Bulk Modulus Elasticity
d = Density
V = Velocity
C = Cauchy Number

Flow Velocity:
Density:
Cauchy Number:

Result:

Bulk Modulus Elasticity:
Newton/Meter2

Calculate Density

d=[C×E]/V^2
d = Density
C = Cauchy Number
E = Bulk Modulus Elasticity
V = Velocity

Cauchy Number:
Bulk Modulus Elasticity:
Flow Velocity:

Result:

Density:
Kilogram/Meter3

Calculate Flow Velocity

V=√[C×E]/d
V = Velocity
C = Cauchy Number
E = Bulk Modulus Elasticity
d = Density

Cauchy Number:
Bulk Modulus Elasticity:
Density:

Result:

Flow Velocity:
Meter/Second

Cauchy Number Calculators The Cauchy number (Ca) is a dimensionless number related to compressible flow in fluid mechanics. It is named after the French mathematician Augustin-Louis Cauchy. When the compressibility has a significant impact, when considering the inertial force of dynamic similarity, the elastic force also needs to be considered. The Cauchy number is the ratio of the fluid inertial force to the compressible force (elastic force). The calculation formula is shown in the figure above, where: ρ ——fluid density (SI unit: kg/m3); v——local fluid velocity (SI unit: m/s); K——bulk modulus (SI unit: Pa) .
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