Interaction of shock waves with a combined discontinuity in two-phase media. 1. Equilibrium approximation

The problem of interaction of shock waves of various types (completely dispersed, frozen-dispersed, dispersed-frozen, and frozen shock waves with a two-front configuration) with a motionless combined discontinuity in a mixture of two condensed materials is considered. The mathematical description is based on the equations of mechanics of heterogeneous media in a one-dimensional isothermal approximation with allowance for differences in velocities and pressures of the components. In the equilibrium approximation in terms of velocities and pressures of the components, the wave configuration and flow parameters are determined in all equilibrium states behind the incident, transient, and reflected shock waves.