Interaction of an acceleration wave with a strong shock in reacting polytropic gases

In this paper, we have studied the evolution of an acceleration wave for the system of partial equations describing one dimensional, unsteady, flow of reacting polytropic gases with same γ-law. The system consists of two species, burnt gas and unburnt gas. The amplitude of the acceleration wave propagating along the characteristic associated with the largest eigenvalue has been evaluated. The interaction of the strong shock with the acceleration wave has been investigated. The amplitudes of the reflected and transmitted waves after interaction are evaluated by using the results of general theory of wave interaction.