Filtered density functions (FDFs) of mixture fraction are quantified by analyzing experimental data obtained from two-dimensional planar laser-induced fluorescence scalar measurements in the isothermal swirling flow of a combustor operating at a Reynolds number of 28,662 for three different swirl numbers (0.3, 0.58 and 1.07). Two-dimensional filtering using a box filter was performed on the measured scalar to obtain the filtered variables used for presumed β -FDF and top-hat FDF for Large Eddy Simulations (LES). A dependant variable from the measured scalar, which was a pre-computed temperature, was integrated over the experimentally obtained FDF as well as over the presumed beta or top-hat FDFs and a relative error in temperature prediction was calculated. The experimentally measured FDFs depended on swirl numbers and axial and radial positions in the flow. The FDFs were unimodal in the regions of low variance and bimodal in the regions of high variance. The influence of the filter spatial dimension on the measured FDF was evaluated and consequences for Subgrid modeling for LES discussed.
|Title of host publication||Proceedings - 16th International Symposium on Applications of Laser Techniques to Fluid Mechanics : from 9 to 12 of July ; Lisbon 2012|
|Place of Publication||Lisbon|
|Publisher||Instituto Superior Técnico|
|Publication status||Published - 12 Jul 2012|
|Event||International Symposium on Applications of Laser Techniques to Fluid Mechanics - The Calouste Gulbenkian Foundation, Lisbon, Portugal|
Duration: 9 Jul 2012 → 12 Jul 2012
http://ltces.dem.ist.utl.pt/lxlaser/lxlaser2012/index.asp (Link to Conference Website)
|Conference||International Symposium on Applications of Laser Techniques to Fluid Mechanics|
|Period||9/07/12 → 12/07/12|
Stetsyuk, V., Hardalupas, Y., Taylor, A., & Soulopoulos, N. (2012). Experimental Assessment of ‘subgrid’ scale Probability Density Function Models for Large Eddy Simulation. In Proceedings - 16th International Symposium on Applications of Laser Techniques to Fluid Mechanics : from 9 to 12 of July ; Lisbon 2012 Instituto Superior Técnico.