Abstract

In Turbulent reactive flows the fluid composition at a point changes due to convection, reaction, and mixing (i.e., molecular transport). Modeling approaches based on the transport equation for the joint probability density function (jpdf) of velocity and composition have proved successful, largely because convection and reaction can be treated exactly, without modeling assumptions. Mixing has to be modeled, however, and current mixing models are deficient in several respects. The first contribution of this article is to define a model problem pertaining to turbulent diffusion flames in the flamelet regime. When applied to this problem, existing models incorrectly yield composition jpdfs corresponding to distributed combustion. The second contribution is to develop and demonstrate a new class of mixing models that performs satisfactorily for the model problem, and also for the case of the decaying field of a conserved scalar.

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