Shock Formation Distance in a Two‐Dimensional Steady Supersonic Flow Over a Concave Corner in Radiative Magnetogasdynamics

Abstract

Using the theory for the propagation of wavefronts defined by weak discontinuities, the paper presents an analysis of shock wave formation in a two‐dimensional steady supersonic flow over a concave corner in radiative magnetogasdynamics. Transport equations are derived which lead to the determination of the shock formation distance and also to conditions which ensure that no shock will ever evolve on the wave front. It is assessed as to how the shock formation distance is influenced by (i) the presence of radiative and magnetohydrodynamic effects, (ii) the initial curvature of the concave wall, and (iii) the upstream flow Mach number. Copyright © 1987 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim