Theory of nonadiabatic flame propagation in dissociation equilibrium

Effects of dissociation equilibrium and heat loss on the structure and propagation of the one-dimensional laminar flame in the doubly-infinite domain have been studied using matched asymptotic analysis in the limit of large activation energy. Analytical solutions have been obtained with an explicit, expression for the burning rate eigenvalue as function of the dissociation and heat loss parameters. Results show that dissociation alone cannot cause extinction of an adiabatic flame. Extinction, however, is facilitated in the simultaneous presence of heat loss. Salient features of the structure of both the adiabatic and nonadiabatic flames are identified.