Cauchy number

The Cauchy number (symbol Ca) is one of the dimensionless numbers of physics. It is named after Augustin Louis Cauchy.

It gives the ratio of inertial forces to the elastic forces in solids.

The Cauchy- number is defined as

In which

  • The density,
  • The characteristic length
  • The angular frequency and
  • The modulus of elasticity mean.

The Cauchy- number used in the study of elastic vibration processes.

Furthermore, it is used in the similarity theory. Two operations are mainly carried out under inertial and elastic forces mechanically similar if their Cauchy numbers match.

See also: Mach number, the dimensionless characteristic velocity, which expresses the ratio of inertial forces to compressive forces.

  • Classical Mechanics
  • Code ( mechanics)

Pictures of Cauchy number