Propagation of premixed isobaric flames in narrow channels with heat-losses: the asymptotic analysis revised and reliance on the flame-sheet model

Abstract

A novel comprehensive analysis based on the matched asymptotic expansions method is curried out for a problem of flame propagation in narrow channels with heat-losses using the activation energy as a large parameter. The novelty consists in presentation of the results, namely the dependence of the flame velocity versus the heat-loss intensity, in a parametric form. Comparison with the numerical calculations reveals that the asymptotic results becomes in close agreement at relatively low values of the expansion parameter in such a manner extending a practical implementation of the method. The analysis may be of utility to flame-sheet model applications increasing its accuracy in general combustion studies.