The statistics of mean fluid velocity components conditional in unburned reactants and fully burned products in the context of Reynolds Averaged Navier Stokes (RANS) simulations have been studied using a Direct Numerical Simulation database of statistically planar turbulent premixed flame representing the corrugated flamelets regime combustion. Expressions for conditional mean velocity and conditional velocity correlations which are derived based on a presumed bimodal probability density function of reaction progress variable for unity Lewis number flames are assessed in this study with respect to the corresponding quantities extracted from DNS data. In particular, conditional surface averaged velocities(ui)¯Rsand the velocity correlations(uiu)j¯Rsin the unburned reactants are demonstrated to be effectively modelled by the unconditional velocities(ui)¯Rand velocity correlations(uiuj)¯R, respectively, for the major part of turbulent flame brush with the exception of the leading edge. By contrast, conditional surface averaged velocities(ui)¯Psand the velocity correlations(uiu)j¯Psin fully burned products are shown to be markedly different from the unconditional velocities(ui)¯Pand velocity correlations(uiuj)¯P, respectively.
Effects of Lewis number on conditional fluid velocity statistics in low Damköhler number turbulent premixed combustion: A direct numerical simulation analysis
