Mathematical Models of Turbulent Flames; A Review

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Abstract
The problem of predicting turbulent flame phenomena is reviewed, with special reference to the turbulent diffusion flame and to the confined pre-mixed flame downstream of a flame-holder. Attention is given to means of describing instantaneous and time-average states, and to the distinctions between the micro-scale aspects of the two flame types which these permit. A model for micro-scale reduction is proposed; and this is employed to derive the influence of the Schmidt number on burning rates in diffusion flames, and the influence of laminar flame speed on burning rates in confined pre-mixed flames. Both influences are weak. It is shown that the mixing-length version of the eddy-break-up model is likely to be closer to the truth than the model employing the local dissipation rate of turbulence energy.

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