Scaling properties of the burning velocity in freely propagating turbulent premixed flames

Dimensional reasoning and simple mechanistic considerations indicate that a freely propagating, low-Mach-number turbulent premixed flame does not achieve statistically steady propagation in the absence of stretch effects or some other stabilization mechanism. Power-law growth of the turbulent burning velocity occurs either through a self-acceleration mechanism or through a purely statistical effect. The growth exponent is sensitive to details of flame dynamics and is configuration-dependent even for the most idealized cases.