A reaction progress variable approach for LES of strongly radiating sooty flames
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A reaction progress variable approach is developed for subgrid scale (SGS) modeling of non-premixed turbulent diffusion flames with soot. Two-phase state-relations are constructed using three reaction progress variables to account for the soot formulation processes and radiation heat loss. Source/sink terms for soot formulation are based on existing phenomenological models. An assumed beta PDF distribution is used for characterizing the variation of the SGS two-phase mixture fraction for Large Eddy Simulation (LES). The resulting formulation couples the combustion, soot and radiation models to provide a self-consistent methodology to close SGS turbulence-chemistry-radiation interactions. Simulations are conducted of a turbulent diffusion flame for the experimental conditions of Coppalle and Joyeux . Comparisons are conducted of mean and RMS temperature, soot volume fraction to experimental data. A sensitivity study reveals the importance of turbulence-radiation interactions and the dependence of the results on modeling approximations.