Premixed flames in stagnating turbulence: Part VI. Predicting the mean density and the permitted rates of strain for impinging reactant streams

A RANS analysis of a jet of premixed reactants impinging on a wall is presented. Unlike previous related studies by the same authors, in which the mean density distribution through the flame brush is specified from experiment in order to concentrate on the fluid mechanics of the problem, the mean density is computed in the present work. As a consequence, an appropriate description for the mean rate of heat release is required. The presumed PDF model selected for this purpose, with strong support from relevant DNS, is supplemented with a new model for the mean scalar dissipation rate. Illustrative numerical results are presented and it is shown that an approximately sixfold increase in a mean strain rate function is required to displace the flame from a location where flashback to the nozzle is about to occur to a position so close to the wall that extinction is imminent. Comparisons of predicted mean property distributions with published experimental data are found to be satisfactory and to lend support to the proposed model.