Self-Similar Flow of a Mixture of a Non-Ideal Gas and Small Solid Particles with Increasing Energy behind a Shock-Wave

摘要

Similarity solutions are obtained for one-dimensional unsteady adiabatic flow of a dusty gas behind a plane, cylindrical or spherical shock wave with time dependent energy input. The dusty gas is assumed to be a mixture of small solid particles and a non-ideal gas. It is assumed that the equilibrium flow condition is maintained in the flow-field, and that the viscous stress and heat conduction of the mixture are negligible. The equation of state of the dusty gas is derived. The shock-Mach number is not infinite, but has a finite value. This condition requires the shock velocity to be a constant in order to have self-similar solutions. The effects of the non-idealness of the gas in the mixture, the mass concentration of solid particles, and the ratio of the density of solid particles to the initial density of gas on the flow-field and on the shock-strength are investigated.