A theory for spherical and cylindrical laminar premixed flames

A model has been developed which attempts to predict the behavior of the radially symmetric premixed laminar flame governed by a first order reaction. Provisions have been made for the necessary non-adiabatic conditions, ranges of Damkohler number, ranges of non-dimensional activation energy, arbitrary Lewis number, and either cylindrical or spherical geometry. A technique for the solution of the governing equations has been proposed which allows both of the unknown initial derivatives to be accurately determined in a reasonable amount of computation time. Flame structure, conductive heat loss, diffusion potential, flame stand-off distance, and flame thickness have been examined for spherical symmetry for a variety of Damkohler numbers and reduced activation energies.