This article is cited in 14 papers

MODELS IN PHYSICS AND TECHNOLOGY

Mathematical modeling of SHS process in heterogeneous reactive powder mixtures

D. S. Shultz^a, A. Yu. Krainov<sup>b

a</sup> Tomsk State University of Control Systems and Radioelectronics, 634050 Tomsk, 40, Lenin av.
^b Tomsk State University, 634050 Tomsk, 36, Lenin av.

Abstract: In this paper we present a mathematical model and numerical results on a propagation of the combustion front of the SHS compound, where the rate of chemical reaction at each point of the SHS sample is determined by solving the problem of diffusion and chemical reaction in the reaction cell. We obtained the dependence of the combustion front on the size of the average element of a heterogeneous structure with different values of the diffusion intensity. These dependences agree qualitatively with the experimental data. We studied the effect of activation energy for diffusion on the propagation velocity of combustion front. It is revealed the propagation of the combustion front transforms to an oscillatory regime at increase in activation energy of diffusion. A transition boundary of the combustion front propagation from the steady-state regime to the oscillatory one is defined.

Keywords: gasless burning, reactive cell, diffusion, self-propagating high temperature synthesis (SHS).

UDC: 536.46

Received: 30.05.2011

DOI: 10.20537/2076-7633-2011-3-2-147-153