J Austral Math Soc Ser B 31 pp385--396, 1990.

Propagation of flame fronts

N. F. Smyth

(Received 19 January 1989; revised 20 July 1989)

Abstract

The propagation of a flame front in a combusting gas is considered in the limit in which the width of the reaction-zone is small compared with some overall flow dimension. In this approximation, the front propagates along its normals at a speed dependent on the local curvature of the front and is governed by a nonlinear equivalent of the geometric optics equations. Some exact solutions of this equation are found and a numerical scheme is developed to solve the equation for more complicated geometries.

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Author

N. F. Smyth: Department of Mathematics, University of Wollongong, P.O. Box 1144, Wollongong, N.S.W. 2500, Australia.

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Last Modified: Mon Jan 14 16:50:22 2002