Abstract
The question of the mathematical description of the flow of a mixture of a gas and solid particles, with the ignition and combustion of these latter taken into account under conditions when the continuous phase has a sufficiently high temperature, occurs in different branches of science and engineering. As examples, we mention the processes of combustion and detonation of solid propellants with metallized admixtures, when particle burnup is possible behind the flame (detonation) front. The phenomena occurring during displacement of aerosols along channels of apparatus under emergency situations are also of interest from this viewpoint. In particular, the process of propagation of detonationlike combustion waves here attracts agreat deal of attention.
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