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An unsteady, two-dimensional, compressible, inviscid flow can be described by the equation
where ψ is the stream function, u and υ are the x and y components of velocity, respectively, c is the local speed of sound, and t is the time. Using L as a characteristic length and c0 (the speed of sound at the stagnation point) to nondimensionalize this equation, obtain the dimensionless groups that characterize the equation.
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Fox and McDonald's Introduction to Fluid Mechanics
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