Numerical simulation of gasless combustion taking into account the heterogeneity of the structure and the temperature dependence of diffusion

This paper presents the results of numerical simulation of self-propagating high-temperature synthesis based on a model that takes into account the heterogeneity of the mixture of the reacting powders and the temperature-dependent mutual diffusion. Dependences of the velocity of the combustion front on the size of the averaged element of the heterogeneous structure are obtained for different diffusion activation energies. It is found that as the activation energy of diffusion increases, an oscillatory regime of propagation of the combustion front is established. The boundary of the transition from the steady-state propagation of the combustion front to the oscillatory regime is determined.