Scalings for premixed reacting flow in a canonical turbulent setting

Incompressible homogeneous isotropic turbulence allows probing of reacting flow closures with dilatation effects disambiguated from turbulent transport. Using previously derived models for mean and fluctuating quantities, we test predictions of turbulent scalar field closures in this macroscopically-averaged context. We then examine if classical scalings of reaction wave speed and reaction zone thickness, such as Damköhler's premixed flame hypotheses, match our DNS and propose correlations of burning velocity and brush thickness as functions of turbulence parameters across low heat release regimes.