Flames with chain-branching/chain-breaking kinetics

Abstract

A steady plane flame subject to the chain-branching/chain-breaking kinetics A plus X yields 2X, 2X plus M yields 2P plus M is considered for a certain distinguished limit of parameter values corresponding to fast recombination. Here A is the reactant, X the radical, P the product, and M a third body. The activation energy of the production step is very large, while that of the recombination step is small and taken to be zero. The object is to find the 'laminar-flame eigenvalue' DELTA , representing the burning rate, as a function of r, which is essentially the ratio of the two reaction rates. The response function DELTA (r) is described by numerical integration and by asymptotic analysis for r approaches 0, infinity .