Modeling of detonation of metal-gas combustible mixtures in high-speed flow behind a shock wave

A physical and mathematical model that makes it possible to describe the processes of the self-ignition, combustion, and detonation of combustible metal-gas mixtures is given. A simplified physical and mathematical model of the process has been developed. Dispersed particles are considered to be multicomponent, and the processes of the melting and evaporation of the particle material, as well as surface reactions (in which both liquid and gaseous components can participate) are taken into account. The carrier gas is considered multicomponent with the possibility of an arbitrary number of chemical reactions. The case in which the combustion products are in a state of thermodynamic equilibrium is considered, and the presence of fine particles of metals, oxides, and metal nitrides are taken into account. The structure and minimum propagation velocity of a stationary detonation wave are determined by calculation. It is shown that the parameters calculated in waves asymptotically tend to their equilibrium values. The developed physical and mathematical model and computational algorithms can be used to create methods to model the combustion and detonation of metal-gas mixtures in a multidimensional formulation.