Ignition of a cloud of metal particles in the continuum regime I. Adiabatic flow

A matheamtical model is proposed to describe the motion of a mixture of a gas and reactive metal particles in the two-velocity, two-temperature approximation of mechanics of heterogeneous media. As an application of this model, a theory of wave ignition, in a mixture of a gas and magnesium particles is developed, which extends N. N. Semenov's theory of thermal explosion to the case of a moving cloud of particles. A classification of the types of mixture flows behind the shock-wave front is given. The calculated induction period of the cloud correlates with experimental data. Stable propagation of a steady ignition wave and the possibility of its initiation are demonstrated.