Two-Phase Flow Through Normal Shock Wave

Abstract

The steady, one-dimensional flow of compressible gas containing particles through a normal shock wave is investigated. Following the derivation of a set of general equations, two extreme cases are treated, namely: 1 – Two-phase flow with high particle mass flow (so that their volume cannot be neglected) is first considered, and the final equilibrium conditions are analytically solved, whereas the relaxation zone is calculated numerically. The error in neglecting the particle volume is shown to be considerable in the calculation of the velocities. 2 – An approximate solution is secondly given for the case of low particle mass flow through a weak shock wave. Use is made here of small perturbations, for zeroth and first orders. The solution of this case describes the flow in the relaxation zone quite accurately, and shows its dependence on the physical properties of both gas and droplets.