Evolution of weak shock wave in two-dimensional steady supersonic flow in dusty gas

Abstract The present paper concerns with the propagation of weak shock waves in a dusty gas governed by the quasilinear hyperbolic partial differential equations. Using the method of wavefront analysis the transport equations governing the evolution of weak discontinuities are derived. Transport equations are used to determine the shock formation distance and conditions which ensure that there will not evolve any shock. Also the influence of dust particles, ratio of specific heats and upstream flow Mach number on the shock formation distance is analyzed.