Propagation of A ⇌ B → C Flames

Abstract

The equations describing a flame supported by the chemical reaction A ⇌ B → C are solved by an iterative procedure using the Arrhenius temperature dependence of the reaction rate constants. It is found that an excellent approximation to a solution is obtained by setting the net rate of production of B to zero. This approximation is a form of the pseudostationary state approximation although B is not necessarily in near equilibrium with the reactant A. In addition, explicit solutions are obtained for the temperature and concentration profiles using the ignition temperature approximation for the temperature dependence of the reaction rate constants.