Second-order conditional moment closure for the autoignition of turbulent flows

Abstract
The conditional moment closure with second-order approximation for the reaction rate and an equation for the conditional fluctuations of the temperature increments before autoignition of a turbulent nonpremixed flow has been developed for one-step chemistry. The explicit incorporation of conditional variances is necessitated due to the temperature fluctuations induced by heat losses from the reaction zone before ignition, as indicated by recent direct numerical simulations (DNS). Predicted ignition times and reaction zone structure are in very good agreement with DNS data and the differences between the first- and second-order closure are discussed.