Statistical Behaviour and Modelling of Variances of Reaction Progress Variable and Temperature During Flame-Wall Interaction of Premixed Flames Within Turbulent Boundary Layers

Abstract The statistical behaviour of the transport reaction progress variable variance, $$\widetilde{{c^{^{\prime\prime}2} }},$$ c ″ 2 ~ , and non-dimensional temperature $$\widetilde{{T^{^{\prime\prime}2} T have been analysed using three-dimensional Direct Numerical Simulation (DNS) data turbulent premixed flame-wall interaction with isothermal inert walls within boundary layers for (i) an unsteady head-on quenching a statistically planar flame propagating across layer, (ii) stationary oblique wall V-flame. It has found that rate contribution acts as leading order source term to both whereas molecular dissipation remains sink configurations here. With interaction, magnitude all terms equations variances vanish in near-wall region onset quenching. However, continues act term. performances existing models scalar flux, contributions assessed based on priori DNS analysis. available variance even previously proposed corrections do not adequately predict region. Modifications suggested closure improve predictions Furthermore, recommended closures unclosed are shown accurately capture corresponding variations obtained from near away wall.