Revisiting the relation between premixed flame brush thickness and turbulent burning velocities from Ken Bray’s notes

Applying the Bray-Moss-Libby (BML) bi-modal asymptotic limit to a progress variable signal in premixed turbulent flame, relation is established between variation rate of mean flame brush thickness, surface wrinkling and burning velocity. This scaling suggests that link amplification by turbulence increase velocity may need be modulated corrective term proportional thickness. correction expected driven short relaxation time scale, which representative adjusting its continuously varying environment. The analysis grounded on usual exact expressions for various characteristic displacements consumption speeds, widely used combustion modeling. Prior this analysis, validity implication these speeds thin flamelet framework, introduced perform derivation dynamics velocity, evaluated from direct numerical simulation (DNS) jet-flame.