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Combustion Science and Technology, Vol.166, 195-227, 2001
Modelling differential diffusion in nonpremixed reacting turbulent flow: Model development
The modelling of differential diffusion in nonpremixed reacting turbulent flows is considered. The present approach is based on the conditional moment closure (CMC) method. As in the nonreacting case the terms involving the deviations from the conditional averages, the e(y)-terms cannot be neglected and need modelling. The development of new closures for the e(y)-terms and their validation is aided by DNS studies. Non-unity Schmidt number effects of reacting scalars in homogeneous isotropic decaying turbulence are investigated. Chemical kinetics are approximated by irreversible one-step temperature independent and temperature dependent reactions. It is found that the e(y)-terms and their modelling in reacting flows strongly resemble e(y)-terms and -models in nonreacting flows (Kronenburg and Bilger, 1997). However, a new definition of a suitable differential diffusion variable is necessary for accurate e(y)-closure in reacting flows. The dependence of the e(y)-modelling on reaction rate and temperature effects is analysed. CMC generally leads to good predictions of the appropriate conditional average differential diffusion variable which can characterize differential diffusion effects on either species concentrations or enthalpy.