Some Implications of Recent Theoretical Studies in Turbulent Combustion

Nomenclature = coefficients in assumed probability density function, Eq. (14) = molecular diffusion coefficient = interior distribution for the probability density function of £ = enthalpy = step function = intermittency functions = extinction parameter, cf. Eq. (31) = length scale characterizing large eddies = probability density functions, single and multivariate = = turbulence Reynolds number, l/2(puZut/p) 1/2t/v0 - parameter for ordering reaction rates, cf.Eq. (17) = temperature = Cartesian velocity components = mass rate of production per unit volume of the /th species contribution to the production of the /th trace species from trace species, cf. Eqs. (21) and (22) = Cartesian coordinate = mass fraction of the /th species = mass fraction of the /th element = delta function = mass density = mixture variable, cf. Eq. (1) = dissipation terms = kinematic viscosity = viscosity coefficient