Modeling of detonation wave propagation through a cloud of particles in a two-velocity two-temperature formulation

Processes of suppression and quenching of detonation in a hydrogen-oxygen mixture by means of inserting inert particles into the flow field are numerically studied within the framework of a two-velocity two-temperature model of mechanics of heterogeneous media. The wave pattern in an inert cloud of particles, induced under the action of shock and detonation waves, is determined. The validity of using a one-velocity model for the description of detonation suppression and quenching by clouds of coarse particles is demonstrated. The effect of the volume fraction and diameter of moving particles on the detonation wave velocity is found. The limiting transition from a frozen detonation flow, which is formed in the case of large particle diameters, to an equilibrium flow formed in the case of small particle diameters is studied. Geometric limits of detonation are determined, and a comparison with similar results predicted by the one-velocity model is performed.