Assessment of Algebraic Flame Surface Density-Based Mean Reaction Rate Closure within Bray–Moss–Libby Modelling Framework for Reynolds-Averaged Navier–Stokes Simulations of Premixed Flame–Wall Interaction

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A Flame Surface Density (FSD)-based mean reaction rate closure modified for flame–wall interaction (FWI) in the Bray–Moss–Libby (BML) modeling framework is implemented for RANS simulations in two configurations at turbulent friction Reynolds number Reτ=110. The first configuration is the oblique wall quenching of a V-shaped premixed flame in a turbulent channel flow, and the second configuration is the head-on quenching of a statistically planar flame in a turbulent boundary layer. RANS simulations have been performed based on standard values of the FSD-based mean reaction model parameters and different choices of the correction factor to account for near wall quenching. A comparison is presented between the Favre mean values of the reaction progress variable and the nondimensional temperature obtained from RANS simulations and the corresponding DNS data. The RANS simulations, employing standard FSD model parameters and a correction factor calibrated using DNS results to account for near-wall quenching capture the Favre mean streamwise velocity and temperature reasonably well. However, discrepancies are observed between the predicted Favre mean reaction progress variable and the corresponding DNS results. These discrepancies are primarily attributed to two sources: (1) inaccuracies in the predicted turbulent kinetic energy and dissipation rate and (2) errors arising from estimating the Reynolds-averaged reaction progress variable from its Favre-averaged counterpart. Despite these disagreements, the FSD-based mean reaction rate closure shows promise in predicting Favre mean velocity and temperature in RANS simulations of premixed flame–wall interaction using the near wall modifications considered in this work.