Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
1.C. Pera, J. Reveillon, L. Vervisch, and P. Domingo, “Modeling subgrid scale mixture fraction variance in LES of evaporating spray,” Combustion and Flame 146, 635 (2006).
2.D. C. Haworth, “Progress in probability density function methods for turbulent reacting flows,” Prog. Energy Combust. Sci. 36, 168 (2010).
3.F. Gao and E. F. O’Brien, “A large-eddy simulation scheme for turbulent reacting flows,” Phys. Fluids A 5, 1282 (1993).
4.S. B. Pope, “PDF methods for turbulent reactive flows,” Prog. Energy Combust. Sci. 11(2), 119 (1985).
5.S. B. Pope, “Computations of turbulent combustion: Progress and challenges,” Proc. Combust. Inst. 23(1), 591 (1991).
6.P. Givi, “Model-free simulations of turbulent reactive flows,” Prog. Energy Combust. Sci. 15(1), 1 (1989).
7.J. Floyd, A. M. Kempf, A. Kronenburg, and R. H. Ram, “A simple model for the filtered density function for passive scalar combustion LES,” Combustion Theory and Modelling 13(4), 559 (2009).
8.C. Tong, “Measurements of conserved scalar filtered density function in a turbulent jet,” Phys. of Fluids 13, 2923 (2001).
9.D. Wang and C. Tong, “Experimental study of velocity-scalar filtered joint density function for LES of turbulent combustion,” Proc. of the Combustion Institute 30(1), 567 (2005).
10.R. Borghi and P. Moreau, “Turbulent combustion in a premixed flow,” Acta Astronautica 4, 321 (1977).
11.V. Raman, H. Pitsch, and R. O. Fox, “Hybrid large eddy simulation/Lagrangian filtered density function approach for simulating turbulent combustion,” Combustion and Flame 143, 56 (2005).
12.M. R. H. Sheikhi, T. G. Drozda, P. Givi, F. A. Jaberi, and S. B. Pope, “Large eddy simulation of a turbulent nonpremixed piloted methane jet flame (Sandia Flame D),” Proc. Combust. Inst. 30(1), 549 (2005).
13.C. M. Kaul, V. Raman, G. Balarac, and H. Pitsch, “Numerical errors in the computation of subfilter scalar variance in large eddy simulations,” Phys. of Fluids 21, 55 (2009).
14.C. Pierce and P. Moin, “A dynamic model for subgrid-scale variance and dissipation rate of a conserved scalar,” Phys. of Fluids 12, 3041 (1998).
15.A. W. Cook and J. Riley, “A subgrid model for equilibrium chemistry in turbulent flows,” Phys. of Fluids 6, 2868 (1994).
16.D. Carati and E. V. Eijnden, “On the self-similarity assumption on dynamic models for large eddy simulation,” Phys. of Fluids 9, 2165 (1997).
17.S. Liu, C. Meneveau, and J. Katz, “On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet,” J. of Fluid Mechanics 275, 83 (1994).
18.T. G. Drozda, G. Wang, V. Sankaran, J. R. Mayo, J. C. Oefelein, and R. S. Barlow, “Scalar filtered mass density functions in nonpremixed turbulent jet flames,” Combustion and Flame 155, 54 (2008).
19.A. G. Rajagopalan and C. Tong, “Experimental investigation of scalar-scalar dissipation filtered joint density function and its transport equation,” Phys. of Fluids 15, 227 (2003).
20.T. F. Dixon, J. S. Truelove, and T. F. Wall, “Aerodynamic studies on swirled coaxial jets from nozzles with divergent quarls,” J. of Fluids Eng. 105, 197 (1983).
21.V. D. Milosavljevic, “Natural gas, kerosene and pulverized fuel fired swirl burners,” Ph.D. thesis (Imperial College of Science Technology and Medicine. Department of Mechanical Engineering, 1993).
22.J. W. Goodman, Introduction to Fourier optics, 2nd ed. (McGraw-Hill International Editions, 1996).
23.S. E. Reichenbach, S. K. Park, and R. Narayanswamy, “Characterizing digital image acquisition devices,” Opt. Eng. 30(2), 170 (1991).
24.M. Petrou and P. Bosdogianni, Image Processing: The Fundamentals (John Wiley & Sons Ltd., 1999).
25.F. J. Krawczynski, B. Renou, L. Danaila, and F. X. Demoulin, “Small-scale measurements in a partially stirred reactor,” Exp. in Fluids 40(5), 667 (2005).
26.N. Soulopoulos, Y. Hardalupas, and A. M. K. P. Taylor, “Scalar dissipation rate measurements in a starting jet,” Exp. in Fluids 55(3), 1 (2014).

Data & Media loading...


Article metrics loading...



Measured filtered density functions (FDFs) as well as assumed beta distribution model of mixture fraction and “subgrid” scale (SGS) scalar variance , used typically in large eddy simulations, were studied by analysing experimental data, obtained from two-dimensional planar, laser induced fluorescence measurements in isothermal swirling turbulent flows at a constant Reynolds number of 29 000 for different swirl numbers (0.3, 0.58, and 1.07). Two-dimensional spatial filtering, by using a box filter, was performed in order to obtain the filtered variables, namely, resolved mean and “subgrid” scale scalar variance. These were used as inputs for assumed beta distribution of mixture fraction and top-hat FDF shape estimates. The presumed beta distribution model, top-hat FDF, and the measured filtered density functions were used to integrate a laminar flamelet solution in order to calculate the corresponding resolved temperature. The experimentally measured FDFs varied with the flow swirl number and both axial and radial positions in the flow. The FDFs were unimodal at flow regions with low SGS scalar variance, 0.01, and bimodal at regions with high SGS variance, 0.02. Bimodal FDF could be observed for a filter size of approximately 1.5-2 times the Batchelor scale. Unimodal FDF could be observed for a filter size as large as four times the Batchelor scale under well-mixed conditions. In addition, two common computational models (a gradient assumption and a scale similarity model) for the SGS scalar variance were used with the aim to evaluate their validity through comparison with the experimental data. It was found that the gradient assumption model performed generally better than the scale similarity one.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd