Abstract
A model of nonstationary gas-free combustion has been formulated with account for the structure heterogeneity and for the temperature dependence of diffusion with the use of two models of reaction cells: plane and spherical ones. Numerical simulation of the propagation of the self-propagating high-temperature synthesis (SHS) wave and a comparative analysis of the SHS wave propagation velocity was carried out with the use of two models of reaction cells. The numerical investigations have shown that with the use of the model of spherical reaction cells the SHS wave propagation velocity is higher than for plane cells by 1.7 times. Dependences of the rate of combustion on the characteristic value of the heterogeneous structure of a sample have been obtained. The computational–theoretical values of the SHS wave propagation velocity coincide with good accuracy with experimental data in a wide range of the dimension of the heterogeneous structure of SHS.
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