Cauchy number
The Cauchy number (after Augustin Louis Cauchy ) is one of the dimensionless key figures in physics . It gives the ratio of the inertial forces to the elastic forces in solid bodies :
in which
- the density ,
- the angular frequency ,
- the characteristic length and
- mean the modulus of elasticity .
The Cauchy number is used in the investigation of elastic oscillation processes . It is also used in the similarity theory : two processes that take place mainly under inertia and elastic forces are mechanically similar if their Cauchy numbers match.
See also
- Mach number , the dimensionless number of speed, which indicates the ratio of inertial forces to compression forces.