Mathematical model of magnesium ignition in an extended range of parameters

A mathematical model of ignition of a magnesium particle with allowance for a heterogeneous chemical reaction is proposed. The model allows the final particle temperature after its ignition to be found and takes into account the region of the thermal influence of the particle on the gas. A stationary solution is found, which makes it possible to propose a classification of the thermal history of the particle-gas system. The mathematical model is consistent with experimental data on the dependence of the ignition delay on the gas pressure and particle radius and on the dependence of the limiting temperature on the particle radius and the ambient pressure. The mathematical model also reveals the effect of the size of the gas layer around the particle on the integral parameters of ignition.