A study of turbulent combustion and its modeling using a diffusion reaction equation model
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An enhanced diffusion-reaction system (DRS) is proposed as a statistical model for the evolution of multiple scalars undergoing mixing and reaction in an isotropic turbulence field. The DRS model is close enough to the scalar equations in a reacting flow that other statistical models of turbulent mixing, which decouple the velocity field from scalar mixing and reaction (e.g. mapping closure model, assumed-pdf models), cannot ditinguish the model (DRS) equations from the exact equations. Numerical simulations of the DRS equations are performed for three scalars evolving from non-premixed initial conditions. A simple one-step reversible reaction is considered. The data from the simulations are used to (i) study the effect of chemical conversion on the evolution of scalar statistics, and (ii) evaluate other models (mapping-closure model, assumed multivariate -pdf model) leading to inferences about engineering approaches to turbulent combustion modeling.
