The square root of the ratio of inertia force to the elastic force is called as Mach’s number of Cauchy’s number.

M_N  =  √ Inertia force / Elastic force =  √ Mass x Acceleration / Elastic stress x Area

=  √ ρ. V. V / T / K. A

=  √ ρ. V. A. V / K.A     V / T = Q = A. V

=  √ ρV² / K

M_N  =  V / √ K/ρ

In compressible fluid flow, problems at high speed such as high velocity flow in pipes, water hammer, motion f high speed objects like aero plane, projectile and missile. Where the elastic force (compressibility effect) are predominant.

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