Ignition wave in a two–velocity gas mixture of magnesium particles

The theory of a steady ignition wave in a multicomponent mixture of a gas and magnesium particles, which is nonequilibrium in terms of phase velocities, is developed. Conditions where the action of a shock wave on a cloud of particles leads to their ignition or “regular” heating are determined. Qualitatively different types of behavior of the temperatures of dispersed and gas phases behind the front of the leading shock wave are found. A significant role of interphase friction at the early stages of development of the thermal explosion is demonstrated. Verification of the model is performed on the basis of experimental data on the dependence of the induction period of the oxidation reaction in the cloud of particles on the shock–wave Mach number. It is shown that the numerical data obtained within the framework of the equilibrium and nonequilibrium (in terms of phase velocities) models are in good agreement for small–size particles.