Abstract
This chapter presents the theory of flame propagation. The theory of propagation of a flame front through a combustible gas mixture is based on the laws of conservation of mass, momentum and energy, and additional continuity conditions for each individual chemical species that participates in the reaction. The latter equations and the energy equation contain terms representing the rate of creation or destruction of species and the rate of energy release by chemical reactions. In principle, equations expressing these laws can be written in general three-dimensional and time-dependent form. The analysis of flame fronts of cylindrical or spherical symmetry is of great interest as a transition from the highly idealized plane flame front to more general flame shapes. The great majority of combustion problems are concerned with steady or nonsteady flames of complicated configuration. A substantial simplification of the analysis is achieved by making use of perturbation methods, in which a steady plane flame front is regarded as the undisturbed system.
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