Modeling of propagation of shock and detonation waves in dusty media with allowance for particle collisions

Shock-wave and detonation flows in a two-phase medium consisting of a gas and incompressible particles are studied by methods of numerical simulation with allowance for the random motion and collisions of particles. Steady solutions corresponding to two previously predicted wave types are obtained for the problem of interaction of a plane shock wave with a cloud of particles. The influence of the mixture parameters on the corresponding solutions is determined. In considering the problem of propagation of cellular heterogeneous detonation in a mixture of reacting particles, oxidizer, and inert particles, it is found that the detonation flow structure and the cell size are retained in the mixture with particle collisions. However, smearing (dispersion) of the layers and inert phase structures formed in the far zone of cellular detonation occurs because of particle collisions.