Mixing of fuel and oxygen is the primary concern when modeling diffusion flames. While most combustion reactions are fast compared to mixing, intense turbulence can result in an overlap of time scales between mixing and reactions. This time-scale overlap can lead to local flame extinction and re-ignition. The multi-environment conditional probability density function approach has been developed to model the coupled effects of mixing and reaction and describe the dynamics of local extinction and re-ignition. The extension of this model to reaction systems with variable density and multiple species and reactions will be presented with example calculations.

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