Effect of Transport Properties on Supersonic Expansion around a Corner

Abstract

The compressible flow of a viscous, heat‐conducting gas around a corner is considered; in particular, the viscous corrections in the expansion region are calculated. The solutions are written in terms of asymptotic expansions, valid in the region far, compared to a viscous length, from the corner, so that the zeroth‐order solutions are the classical Prandtl‐Meyer solutions. The method of inner and outer expansions is used where the inner region encloses the first Mach line emanating from the corner. It is shown that the first effect of the transport properties in the expansion region is to generate terms either of order Re−1 (inverse Reynolds number) or of order Re−1 log Re, depending on the dependent variable considered.