Ignition wave in a two-velocity two-temperature multiphase mixture

The theory of stationary adiabatic and non-adiabatic ignition waves in magnesium aerosuspension is developed on the basis of the mathematical model based on two-velocity two-temperature approach of mechanics of heterogeneous media. Specifically, the conditions such that the particle cloud ignites under the action of an initiating shock wave (SW) are defined. An agreement between the adiabatic one-velocity model and the adiabatic two-velocity model on the ignition delay time for small particles is shown. Influence of particle size on this characteristic is compared for both models. Validation of the two-velocity model is performed on the basis of comparison with the experimental data. The unified formula for calculation of the induction period of the magnesium particle mixture in oxygen which takes into account its dependence on the SW Mach number and particle radius is found.