Combined pdf-sdf approach to partially premixed turbulent combustion

摘要

Partially premixed turbulent flames can develop flow regimes where triple flames emerge consisting of essentially premixed and non-premixed zones. The description of such phenomena requires a criterion for the detection of such zones. Such a criterion can be based on a wide range of variables including reaction rates, mass fractions of radicals, etc. These variables are not necessarily suitable for the limit of infinitely fast reactions, for instance, reaction rates are obviously not bounded in this limit. Hence a new single scalar variable based on geometric properties of mixture fraction and non-conserved variables is constructed, that allows the detection of finite rate and, in particular, triple flame domains and is bounded in the limit of infinitely fast reactions. This is first done for systems with simplified chemistry described by two variables and then generalized to combustion with complex chemistry. A pdf-sdf formalism is then outlined for the local thermodynamic state conditioned upon the degree of finite rate effects.