Modelling of the curvature term of the Flame Surface Density transport equation for Reynolds Averaged Navier Stokes simulations

Three-dimensional statistically planar simplified chemistry based Direct Numerical Simulations (DNS) of turbulent premixed flames with wide variations of Karlovitz number Ka , heat release parameter τ and global Lewis number Le have been used for the a-priori modeling of the curvature term of the generalised Flame Surface Density (FSD) transport equation in the context of Reynolds Averaged Navier Stokes (RANS) simulations. The simulation parameters used in the current study have been chosen in such a manner that both the corrugated flamelets and thin reaction zones regime of premixed turbulent combustion have been considered. The curvature term has been split into the contributions arising due to the reaction and normal diffusion components (i.e. 1 T ) and the term arising due to the

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