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

Abstract

We examine the behavior of one-dimensional shock waves in a chemically reacting, nondiffusing multiphase mixture, i.e., one in which the constituents may possess individual microstructure such as porosity and granularity. Essential to this investigation is the introduction of the shock-evolution equation, which determines the local growth or decay of the shock wave in view of the dissipative and enhancive mechanisms involved. This equation accounts 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. Also presented are the constituent Hugoniot properties and associated remarks within the context of a multiphase mixture theory.