Collision of an acceleration wave with blast wave in van der Waals dusty reacting gases

Abstract

A system of hyperbolic partial differential equations describing a one-dimensional planar and radially symmetric flow of real dusty reacting gases is considered. The transport equation for an acceleration wave is obtained to analyze the evolution of the acceleration wave via a particular solution for the system under consideration. The Rankine–Hugoniot jump conditions across the blast wave are used to determine Lax entropy conditions for a physical blast wave. Furthermore, amplitudes of reflected waves, transmitted waves, and the bounce in shock acceleration, which arises from the collision between an acceleration wave and a blast wave, are determined.