Evolutions of strain rate and dissipation rate of kinetic energy in turbulent premixed flames

The statistical behaviors of the evolutions components strain rate tensor and Favre-averaged dissipation kinetic energy are analyzed using direct numerical simulations statistically planar turbulent premixed flames propagating into forced unburned gas turbulence for different intensities spanning a range Karlovitz numbers. pressure Hessian contribution combined molecular diffusion terms found to play dominant roles in transport equations diagonal with small By contrast, leading order balance is maintained between rate, vorticity, contributions large numbers, similar non-reacting flows. arising from correlation density gradients weaken comparison magnitude an increase number. These have been explained alignments gradient, eigenvectors eigendirections. magnitudes equation also increasing number, which help detailed scaling analysis. This analysis explains combustion regimes.