On Shock Polar Solutions of Pseudo-Steady Mach Reflections

摘要

This paper investigates the three-shock theoretical shock polar solutions of pseudo-steady MR as functions of initial conditions of M_s (incident shock Mach number) and θ_w (reflecting wedge angle) for γ= 1.4. Different possible shock polar solutions of pseudo-steady MR from the three-shock theory satisfying the normal straight Mach stem boundary condition are discussed. It is found that a pseudo-steady MR solution always exists for a given M_s for θ_w smaller than the limit determined by the von Neumann condition. Pseudo-steady MR solutions are first classified as backward- or forward-facing reflected oblique shock solutions. Both of the solutions can then be divided into three different types according to whether the reflected shock solution belongs to weak or strong oblique shock waves or if the flow downstream of the reflected shock is supersonic or subsonic, with the flow downstream of reflected strong oblique shocks always being subsonic.