Abstract
Several exact solutions are given for flames with normal diffusion and with reaction rate explicit in temperature. It is shown that, when the eigenvalue is defined in terms of the temperature-mean reaction rate, its value depends only on the position of the centroid of the reaction rate function. Various approximate theories are reviewed and it is shown that they may be arranged in order of merit: Wilde (best), Adams, Kármán-Penner, Zeldovich-Frank-Kamenetsky, Corner. The Wilde approximate method is developed to provide general relations for the effect of reactant and radical diffusion coefficients on the flame velocity. The few checks possible show good agreement with exact solutions. No theory has been developed for diffusion with bimolecular reactions in stoichiometric mixtures.
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