Abstract
A mathematical model for the description of the flow of a mixture of a gas and reacting metal particles is proposed in the context of a two-velocity, two-temperature approximation. As an application of this model, pointwise and one-dimensional approximations are considered. Qualitative and quantitative analyses of a catastrophe/ignition manifold for the model of magnesium particle ignition are performed taking into account metal evaporation. Then the theory of an adiabatic travelling ignition wave in a mixture of gas and magnesium particles is developed by extending Semenov's theory of thermal explosion to the case of a moving cloud of particles. A classification of possible types of flows behind the shock-wave front is given. The calculated induction period of a mixture of dispersed magnesium particles in oxygen correlates well with available experimental results. Ignition and steady propagation of a stationary ignition wave in the mixture is shown numerically.
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