Growth and decay of one-dimensional shock waves in chemically reacting multiphase mixtures

The behavior of one dimensional shock waves in a chemically reacting, nondiffusing multiphase mixture, one in which the constituents may possess individual microstructure such as porosity and granularity was examined. The shock evolution equation, which determines the local growth or decay of the shock wave in view of the dissipative and enhancive mechanisms involved was introduced. This equation counts for the immiscibility and energy exchange between the constituents as associated with the microstructural properties of the mixture, along with the chemical reactivity at the shock front. The constituent Hugoniot properties and associated remarks within the context of a multiphase mixture theory are presented.