The problem of propagation of a gasless combustion wave over a mixture of reacting metal powders

The evolution of structural, phase, and chemical transformations in reacting powders is studied in terms of the mechanics of heterogeneous media. Based on elementary physical concepts of reaction diffusion process at the level of a mixture cell with allowance for heterogeneity and stagewise nature of transformations, a mathematical model of self-propagating high-temperature synthesis of reacting powder mixtures is proposed which allows one to calculate the final product composition from a specified content of the starting mixture components. The unsteady one-dimensional problem of gas-free-combustion-wave propagation over a mixture of two different metal powders is studied numerically. The results are in good agreement with available experimental data.