Marchs Number
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March’s Number
The square root of the ratio of inertia force to the elastic force is called as Mach’s number of Cauchy’s number.
MN = √ 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
MN = V / √ K/ρ
MN = √ 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
MN = V / √ K/ρ
Application:
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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