Asymptotic analysis of stationary propagation of the front of a two-stage exothermic reaction in a gas : PMM vol. 37, n6, 1973, pp. 1049–1058

We construct an approximate solution of the problem concerning the propagation of a planar. front of a two-stage exothermic sequential chemical reaction in a gas, by the method of matched asymptotic expansions. As the parameter in the expansion we use the ratio of the adiabatic combustion temperature to the sum of the activation temperatures of both reactions. Depending on the values of the characteristic parameters of the problem, we consider several solutions, each with a different asymptotic behavior, corresponding to the various flame front propagation modes. The analytical results obtained are compared with numerical data available in the literature.