The structure of a rarefaction wave in gas suspension

Abstract

In [1], the problem of decaying a particular type of an arbitrary discontinuity in a gas–solid-particle mixture was numerically investigated provided that the high-pressure chamber of a shock tube was filled with a gas suspension at a high pressure. The rarefaction wave propagating into the gas suspension was the principal element of flow in the high-pressure chamber. It was numerically shown that the rarefaction-wave leading edge propagates with a velocity that approaches the equilibrium sound velocity in the course of the process development. It is of interest to analytically investigate the problem on the rarefaction-wave structure in the gas suspension. Below, we find, in particular, an exact value of the propagation velocity for the leading edge of the rarefaction wave and other parameters of the mixture flow at small and large times of the development of this process.