An Asymptotic Analysis of Unsteady Diffusion Flames for Large Activation Energies

Abstract

The limit of large activation energy is studied for the process of simultaneous mixing and chemical reaction of two reactants undergoing a one-step irreversible Arrhenius reaction. Consideration is restricted to problems of the evolution type such as unsteady mixing and boundary-layer combustion - for which the solution is uniquely determined in terms of the initial conditions. The continuous transition from the nearly-frozen to the near-equilibrium regimes is described.