SOME NEW TEST CASES IN COMPRESSIBLE THERMO-FLUID-DYNAMICS

This paper studies the thermo-fluid-dynamic field generated by a fast stream impinging on a plane. The Mach number is less than one, but not so small that compressibility effects can be neglected. The analysis requires first the nonviscous solution of the basic equation, obtained by assuming the velocity components as independent variables, and then the viscous solution in the boundary-layer approximation. The Dorodnitzin-Stewartson transformation is used to eliminate the dependence of the transport coefficients on the temperature. The values of 1 and 0.74 (air case) for the Prandtl number are considered. The viscous solution, obtained by means of a MacLaurin series and the Pade approximant technique, gives practically exact results.