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Mach Model Law

The law in which models are based on Mach number is called as mach model law.

Whenever elastic forces are predominant as compared to other forces, for dynamic similarity, Mach number in the model law must be equal to mach number in the prototype.

Mmodel = Mprototype

Vm / √ Km / ρm  =  Vp / √Kp / ρp

Where   K = Elastic stress

Mach model law are applicable in following cases:

(i)    Flow of aeroplane of supersonic speed
(ii)    Underwater testing of torpedoes.
(iii)    Aerodynamic testing
(iv)    Flow of missiles, rockets.
(v)    Water hammer problem.                                                                     

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