Modeling of Entropy Generation in Turbulent Premixed Flames for Reynolds Averaged Navier–Stokes Simulations: A Direct Numerical Simulation Analysis

Abstract

The modeling of the mean entropy generation rate Sآ·"' genآ¯ due to combined actions of viscous dissipation, irreversible chemical reaction, thermal conduction and mass diffusion (i.e., Tآ¯1,Tآ¯2,Tآ¯3, and Tآ¯4) in the context of Reynolds averaged Navier–Stokes (RANS) simulations has been analyzed in detail based on a direct numerical simulation (DNS) database with a range of different values of heat release parameter د„, global Lewis number Le, and turbulent Reynolds number Ret spanning both the corrugated flamelets (CF) and thin reaction zones (TRZ) regimes of premixed turbulent combustion. It has been found that the entropy generation due to viscous dissipation Tآ¯1 remains negligible in comparison to the other mechanisms of entropy generation (i.e., Tآ¯2,Tآ¯3, and Tآ¯4) within the flame for all cases considered here. A detailed scaling analysis has been used to explain the relative contributions of , and Tآ¯4 on the overall volumetric entropy generation rate Sآ·"' genآ¯ in turbulent premixed flames. This scaling analysis is further utilized to propose models for Tآ¯1,Tآ¯2,Tآ¯3, and Tآ¯4 in the context of RANS simulations. It has been demonstrated that the new proposed models satisfactorily predict Tآ¯1,Tآ¯2,Tآ¯3, and Tآ¯4 for all cases considered here. The accuracies of the models for Tآ¯1,Tآ¯2,Tآ¯3, and Tآ¯4 have been demonstrated to be closely linked to the modeling of dissipation rate of turbulent kinetic energy and scalar dissipation rates (SDRs) in turbulent premixed flames.