In this paper, we study the collision of a one-dimensional steepened wave with a blast wave for the system of partial equations describing the unsteady flow of dusty real reacting gases with the same γ-law. The real gas is characterized by a van der Waals type equation of state. Special attention is devoted to analyzing the effects of real, reaction, and dusty gas parameters on the steepened wave. The amplitudes of the reflected and/or transmitted waves along with the jump in shock acceleration after the interaction are also obtained.

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In this paper, we investigate the problem of imploding shock waves in dusty real reacting gases with the same γ-law via the Lie group invariance method. Necessary invariance group properties of an ambient gas for strong shocks are presented and yield the forms of the reaction rate in different cases. The collapse of imploding shocks for a radially symmetric flow of non-ideal dusty reacting gases is completely characterized. The effects of mass consolidation of dust particles, relative specific heat, van der Waals excluded volume, energies of formation of mixtures, and the ratio of the density of dust particles to that of density of the gas on shock involution are obtained.

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