![Sample our Physical Sciences journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/110819/TOC-Subject-Sample-2021-Physical-Sciences.jpg"})
Abstract
Modeling of the joint probability density function of the mixture fraction and progress variable with a given covariance value is studied. This modeling is validated using experimental and direct numerical simulation (DNS) data. A very good agreement with experimental data of turbulent stratified flames and DNS data of a lifted hydrogen jet flame is obtained. The effect of using this joint pdf modeling to calculate the mean reaction rate with a flamelet closure in Reynolds averaged Navier–Stokes (RANS) calculation of stratified flames is studied. The covariance effect is observed to be large within the flame brush. The results obtained from RANS calculations using this modeling for stratified jet- and rod-stabilized V-flames are discussed and compared to the measurements as a posteriori validation for the joint probability density function model with the flamelet closure. The agreement between the computed and measured values of flame and turbulence quantities is found to be good.
ACKNOWLEDGMENTS
The authors gratefully acknowledge the financial support of the EPSRC and Rolls-Royce. Professor R. S. Cant and Dr R. Samworth provided helpful input. Mark Sweeney and Shaohong Ruan provided the V-flame and DNS pdfs, shown in Figs. and , respectively. The DNS data was made available through Cambridge-JAXA collaborative program on turbulent combustion modeling.
Notes
1This difference is due to the different ways to correct for background light such as chemiluminescence since the measurements of Böhm et al. (Citation2011) were done in 2D, while the measurements of (Kuenne et al., in press) are done in 1D (A. Dreizler, private communication, 2012).