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Abstract
Using Lie group theory, a self-similar solution. representing a diffusion flame in which both cross stream and streamwise diffusion is included is obtained. The solution arises in problems related to conjugate heat transfer and pollutant dispersion applications that are governed by the same partial differential equation. Results including flame shape, flame height dependence on Peelet number and overall stoichiometry, are compared with other known solutions. A unique feature of the solution is the existence of a maximum in the size of the back diffusion region as a function of Peclet number. This could be important in very low speed burner applications.