Mathematical study of thermal explosion of a magnesium particle with allowance for metal evaporation

A catastrophe/ignition manifold for a model of thermal explosion of a magnesium particle is constructed. The model takes into account the chemical oxidation reaction, metal evaporation, and convective heat exchange with the ambient gas. This made it possible to determine the types of heat dynamics of the particle in the plane of bifurcation parameters of the model (to locate ignition, extinction, and regular-heating regions), to find the kinetic constants in the empirical law of ignition on the basis of experimental data, and to show the stability of the integral parameter of the ignition delay in relation to sets of kinetic constants determined for mathematical models with and without account for metal evaporation.