An analytic probability density function for partially premixed flames with detailed chemistry

Laminar premixed flame profiles of methane/air free flames and strained at different fuel/air ratios strain rates are analyzed using detailed chemistry with Lewis numbers equal to one. It is shown that the progress variables CO2 + CO H2O H2 in canonically stretched coordinates can be fitted accurately by a slight generalization recently proposed analytical presumed over wide range through adaptation single model parameter. Strained reproduced an additional linear coordinate transformation, emulating compression preheat zone as predicted theory. The parameter alternatively determined only laminar speeds fully burnt temperatures from calculations. stretch factor transformation proportional cp/lambda, which drops up 4 across flame. how non-constant cp/lambda modifies probability density function (pdf) polynomial fit variable allows results for pdf mean value reaction source term. An analytic partially based on Bayes's theorem combination beta mixture fraction pdf's evaluated respective ratio.