Direct numerical simulations of the double scalar mixing layer. Part I: Passive scalar mixing and dissipation

Physics of Fluids

Volumn 18, Issue 6, 2006, Pages

  Cha, Chong M ^a,d   de Bruyn Kops, Stephen M ^b   Mortensen, Mikael ^c  

^a AERODYNE RESEARCH INC   (United States)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

^c UNIVERSITY OF SYDNEY   (Australia)

^d ROLLS ROYCE CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMBUSTION; COMPUTER SIMULATION; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; TURBULENT FLOW;

DIRECT NUMERICAL SIMULATIONS; DOUBLE SCALAR MIXING LAYER; TURBULENT COMBUSTION PROBLEMS;

MIXING;

COMBUSTION; COMPUTER SIMULATION; MATHEMATICAL MODELS; MIXING; PROBABILITY DENSITY FUNCTION; TURBULENT FLOW;

EID: 33745589217     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2213887     Document Type: Article

References (47)

1. N. Peters, "Laminar flamelet concepts in turbulent combustion," Proc. Combust. Inst.PCIRC21540-7489 21, 1231 (1996).
2. K. N. C. Bray and N. Peters, "Laminar flamelets in turbulent flames," Turbulent Reacting Flows (Academic, New York, 1994), Chap. 2, pp. 63-113.
3. A. Yu. Klimenko and R. W. Bilger, "Conditional moment closure for turbulent combustion," Prog. Energy Combust. Sci.PECSDO0360-128510.1016/S0360-1285(99)00006-4 25, 595 (1999).
4. R. W. Bilger, "Future progress in turbulent combustion research," Prog. Energy Combust. Sci.PECSDO0360-128510.1016/ S0360-1285(00)00015-0 26, 367 (2000).
5. S. B. Pope, "PDF methods for turbulent reactive flows," Prog. Energy Combust. Sci.PECSDO0360-128510.1016/0360-1285(85)90002-4 11, 119 (1985).
6. C. Dopazo, "Recent developments in PDF methods," Turbulent Reacting Flows, edited by P. A. Libby and F. A. Williams (Academic, New York, 1994), Chap. 7, pp. 375-474.
7. R. S. Barlow, Proceedings of the International Workshop on Measurement and Computation of Turbulent Nonpremixed Flames, Sapporo, Japan, July 18, 2002. R. S. Barlow, http://www.ca.sandia.gov/tdf/Workshop.html.
8. R. W. Bilger, "Turbulent flows with nonpremixed reactants," Topics in Applied Physics Number 44: Turbulent Reacting Flows, edited by P. A. Libby and F. A. Williams (Springer, New York, 1980), Chap. 3, pp. 65-113.
9. H. Pitsch and H. Steiner, "Scalar mixing and dissipation rate in large-eddy simulations of non-premixed turbulent combustion," Proc. Combust. Inst.PCIRC21540-7489 28, 41 (2000).
10. S. B. Pope, "Statistical theory of turbulent flames," Philos. Trans. R. Soc. LondonPTRMAD0962-8428 291, 529 (1979).
11. S. B. Pope, "Probability distributions of scalars in turbulent shear flows," Turbulent Shear Flows (Springer, Berlin, 1980), Vol. 2, pp. 7-17.
12. A. Juneja and S. B. Pope, "A DNS study of turbulent mixing of two passive scalars," Phys. FluidsPHFLE61070-663110.1063/1.868990 8, 2161 (1996).
13. H. Chen, S. Chen, and R. H. Kraichnan, "Probability distribution of a stochastically advected scalar field," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.63.2657 63, 2657 (1989).
14. E. E. O'Brien and T. L. Jiang, "The conditional dissipation rate of an initially binary scalar," Phys. Fluids APFADEB0899-821310.1063/ 1.858127 3, 3121 (1991).
15. S. B. Pope, "Mapping closures for turbulent mixing and reaction," Theor. Comput. Fluid Dyn.TCFDEP0935-496410.1007/ BF00271466 2, 255 (1991).
16. S. S. Girimaji, "A mapping closure for turbulent scalar mixing using a time-evolving reference field," Phys. Fluids APFADEB0899-821310.1063/1.858341 4, 2875 (1992).
17. F. Gao and E. E. O'Brien, "A mapping closure for multispecies Fickian diffusion," Phys. Fluids APFADEB0899-821310.1063/1.857972 3, 956 (1991).
18. S. S. Girimaji, "A study of multiscalar mixing," Phys. Fluids APFADEB0899-821310.1063/1.858855 5, 1802 (1993).
19. T.-L. Jiang, P. Givi, and F. Gao, "Binary and trinary scalar mixing by Fickian diffusion-some mapping closure results," Phys. Fluids APFADEB0899-821310.1063/1.858253 4, 1028 (1992).
20. C. M. Cha, G. Kosály, and H. Pitsch, "Modeling extinction and reignition in turbulent nonpremixed combustion using a doubly-conditional moment closure approach," Phys. FluidsPHFLE61070-663110.1063/1.1415426 13, 3824 (2001).
21. H. Pitsch, C. M. Cha, and S. Fedotov, "Flamelet modeling of non-premixed turbulent combustion with local extinction and re-ignition," Combust. Theory Modell.CTMOFQ1364-783010.1088/ 1364-7830/7/2/306 7, 317 (2003).
22. P. A. Libby and F. A Williams, Turbulent Reacting Flows (Academic, San Diego, 1994).
23. E. E. O'Brien, "Probability density function (pdf) approach to reacting turbulent flows," Topics in Applied Physics, edited by P. A. Libby and F. A. Williams (Springer, Berlin, 1980).
24. J. Janicka and N. Peters, "Prediction of turbulent jet diffusion flame lift-off using a PDF transport equation," Proc. Combust. Inst.PCIRC21540-7489 19, 367 (1982).
25. S. S. Girimaji, "On the modeling of scalar diffusion in isotropic turbulence," Phys. Fluids APFADEB0899-821310.1063/1.858440 4, 2529 (1992).
26. M. Mortensen, "Consistent modeling of scalar mixing for presumed, multiple parameter probability density functions," Phys. FluidsPHFLE61070-663110.1063/1.1829311 17, 018106 (2005).
27. S. B. Pope, "Computations of turbulent combustion: Progress and challenges," Proc. Combust. Inst.PCIRC21540-7489 23, 591 (1990).
28. C. M. Cha and P. Trouillet, "A model for the mixing time scale of a turbulent reacting scalar," Phys. FluidsPHFLE61070-663110.1063/ 1.1565333 15, 1375 (2003).
29. C. M. Cha and P. Trouillet, "A subgrid mixing model for large-eddy simulations of turbulent reacting flows using the filtered density function," Phys. FluidsPHFLE61070-663110.1063/1.1569920 15, 1496 (2003).
30. S. M. de Bruyn Kops and J. J. Riley, "Direct numerical simulation of laboratory experiments in isotropic turbulence," Phys. FluidsPHFLE61070-663110.1063/1.869733 10, 2125 (1998).
31. S. M. de Bruyn Kops and J. J. Riley, "Re-examining the thermal mixing layer with numerical simulations," Phys. FluidsPHFLE61070-663110.1063/1.870293 12, 185 (2000).
32. R. M. Kerr, "Higher-order derivative correlations and the alignment of small-scale structures in isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112085001136 153, 31 (1985).
33. W. E. Mell, V. Nilsen, G. Kosály, and J. J. Riley, "Direct numerical simulation investigation of the conditional moment closure model for nonpremixed turbulent reacting flows," Combust. Sci. Technol.CBSTB90010-2202 91, 179 (1993).
34. H. Wang and W. K. George, "The integral scale in homogeneous isotropic turbulence," J. Fluid Mech.JFLSA70022-112010.1017/ S002211200200811X 459, 429 (2002).
35. N. Peters (Private communication).
36. G. Comte-Bellot and S. Corrsin, "Simple Eulerian time correlation of full and narrow-band velocity signals in grid-generated, 'isotropic' turbulence," J. Fluid Mech.JFLSA70022-112010.1017/S0022112071001599 48, 273 (1971).
37. M. Ihme and H. Pitsch, "LES of a non-premixed flame using an extended flamelet/progress variable model," AIAA 43rd Aerospace Sciences Meeting, 2005, AIAA Paper 2005-0558.
38. F. Gao, "An analytical solution for the scalar probability density function in homogeneous turbulence," Phys. Fluids APFADEB0899-821310.1063/1.858112 3, 511 (1991).
39. A. W. Cook, J. J. Riley, and G. Kosály, "A laminar flamelet approach to subgrid-scale chemistry in turbulent flows," Combust. FlameCBFMAO0010-218010.1016/S0010-2180(97)83066-0 109, 332 (1997).
40. A. W. Cook and J. J. Riley, "Subgrid-scale modeling for turbulent, reacting flows," Combust. FlameCBFMAO0010-218010.1016/ S0010-2180(97)00173-9 112, 593 (1997).
41. S. M. de Bruyn Kops and M. Mortensen, "Conditional mixing statistics in a self-similar scalar mixing layer," Phys. FluidsPHFLE61070-663110.1063/1.2055467 17, 095107 (2005).
42. H. Pitsch and S. Fedotov, "Investigation of scalar dissipation rate fluctuations in non-premixed turbulent combustion using a stochastic approach," Combust. Theory Modell.CTMOFQ1364-783010.1088/1364-7830/ 5/1/303 5, 41 (2001).
43. R. W. Bilger, "Some aspects of scalar dissipation," Flow, Turbul. Combust.FTCOF91386-618410.1023/B:APPL.0000044404.24369.f1 72, 93 (2004).
44. K. R. Sreenivasan, "Possible effects of small-scale intermittency in turbulent reacting flows," Flow, Turbul. Combust.FTCOF91386-618410.1023/B:APPL.0000044408.46141.26 72, 115 (2004).
45. S. B. Pope and Y. L. Chen, "The velocity-dissipation pdf model for turbulent flows," Phys. Fluids APFADEB0899-821310.1063/1.857592 2, 1437 (1990).
46. C. M. Cha, "Accounting for flamelet structures in conditional moment closure modeling of turbulent combustion," Third Joint Meeting of the United States Sections of the Combustion Institute, March 16-19, 2003, Paper E22.
47. C. M. Cha and H. Pitsch, "Higher-order conditional moment closure modeling of local extinction and reignition in turbulent combustion," Combust. Theory Modell.CTMOFQ1364-783010.1088/ 1364-7830/6/3/303 6, 425 (2002).