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The differential equation for compressible in viscid flow of a gas in the xy plane is Where φ is the velocity potential and a is

The differential equation for compressible in viscid flow of a gas in the xy plane is

The differential equation
Where φ is the velocity potential and a is the (variable) speed of sound of the gas. Non-dimensionalize this relation, using a reference length L and the inlet speed of sound ao as parameters for defining dimensionless variables

dr dt dxdy

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