Statistics and geometry of passive scalars in turbulence

Physics of Fluids

Volumn 17, Issue 12, 2005, Pages 1-9

  Schumacher, Jörg ^a   Sreenivasan, Katepalli R ^b  

^a PHILIPPS UNIVERSITY MARBURG   (Germany)

^b ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FAST FOURIER TRANSFORMS; INCOMPRESSIBLE FLOW; MIXING; NAVIER STOKES EQUATIONS; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; STATISTICAL METHODS;

KOLMOGOROV SCALING; PASSIVE SCALARS; SCHMIDT NUMBERS;

TURBULENT FLOW;

COMPUTER SIMULATION; FAST FOURIER TRANSFORMS; INCOMPRESSIBLE FLOW; MIXING; NAVIER STOKES EQUATIONS; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENT FLOW;

EID: 31144436205     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2140024     Document Type: Article

References (44)

1. R. R. Prasad and K. R. Sreenivasan, "Quantitative three-dimensional imaging and the structure of passive scalar fields in fully turbulent flows," J. Fluid Mech. JFLSA70022-1120 216, 1 (1990).
2. K. A. Buch, Jr. and W. J. A. Dahm, "Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1. Sc≫1," J. Fluid Mech. JFLSA70022-1120 317, 21 (1996).
3. H. J. Catrakis and P. E. Dimotakis, "Scale distributions and fractal dimensions in turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.77.3795 77, 3795 (1996).
4. E. Villermaux and C. Innocenti, "On the geometry of turbulent mixing," J. Fluid Mech. JFLSA70022-112010.1017/S0022112099005674 393, 123 (1999).
5. H. J. Catrakis, R. C. Aguirre, and J. Ruiz-Plancarte, "Area-volume properties of fluid interfaces in turbulence: Scale-local self-similarity and cumulative scale dependence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002008911 462, 245 (2002).
6. L. K. Su and N. T. Clemens, "The structure of fine-scale scalar mixing in gas-phase planar turbulent jets," J. Fluid Mech. JFLSA70022-112010.1017/S002211200300466X 488, 1 (2003).
7. S. H. Stårner, R. W. Bilger, K. M. Lyons, J. H. Frank, and M. B. Long, "Conserved scalar measurements in turbulent-diffusion flames by a Raman and Rayleigh ribbon imaging method," Combust. Flame CBFMAO0010-218010.1016/0010-2180(94)90140-6 99, 347 (1994).
8. A. N. Karpetis and R. S. Barlow, "Measurements of scalar dissipation in a turbulent piloted methane/air jet flame," Proc. Combust. Inst.PCIRC2 29, 1929 (2002).
9. G. K. Batchelor, "Small-scale variation of convected quantities like temperature in a turbulent fluid. Part 1. General discussion and the case of small conductivity," J. Fluid Mech. JFLSA70022-1120 5, 113 (1959).
10. R. W. Bilger, "Some aspects of scalar dissipation," Flow, Turbul. Combust. FTCOF91386-618410.1023/B:APPL.0000044404.24369.f1 72, 93 (2004).
11. P. Vedula, P. K. Yeung, and R. O. Fox, "Dynamics of scalar dissipation in isotropic turbulence: A numerical and modelling study," J. Fluid Mech. JFLSA70022-1120 433, 29 (2001).
12. P. K. Yeung, S. Xu, and K. R. Sreenivasan, "Schmidt number effects on turbulent transport with uniform mean scalar gradient," Phys. Fluids PHFLE61070-663110.1063/1.1517298 14, 4178 (2002).
13. G. Brethouwer, J. C. R. Hunt, and F. T. M. Nieuwstadt, "Micro-structure and Lagrangian statistics of the scalar field with a mean gradient in isotropic turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002002549 474, 193 (2003).
14. J. Schumacher and K. R. Sreenivasan, "Geometric features of the mixing of passive scalars at high Schmidt numbers," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.91.174501 91, 174501 (2003).
15. T. Watanabe and T. Gotoh, "Statistics of passive scalar in homogeneous turbulence," New J. Phys. NJOPFM1367-263010.1088/ 1367-2630/6/1/040 6, 40 (2004).
16. J. Schumacher, K. R. Sreenivasan, and P. K. Yeung, "Very fine structures in scalar mixing," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112005004040 531, 113 (2005).
17. J. Schumacher, "Relation between shear parameter and Reynolds number in statistically stationary shear flows," Phys. Fluids PHFLE61070-663110.1063/1.1764431 16, 3094 (2004).
18. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, UK, 2002).
19. K. R. Sreenivasan, R. Ramshankar, and C. Meneveau, "Mixing, entrainment, and fractal dimension of interfaces in turbulent flows," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 421, 79 (1989).
20. K. J. Falconer, The Geometry of Fractal Sets (Cambridge University Press, Cambridge, UK, 1985).
21. R. D. Frederiksen, W. J. A. Dahm, and D. R. Dowling, "Experimental assessment of fractal scale-similarity in turbulent flows. Part 1. One-dimensional intersections," J. Fluid Mech. JFLSA70022-1120 327, 35 (1996).
22. S. B. Pope, "The evolution of surfaces in turbulence," Int. J. Eng. Sci. IJESAN0020-722510.1016/0020-7225(88)90004-3 26, 445 (1988).
23. R. C. Aguirre and H. J. Catrakis, "Interfacial-fluid dynamics and the mixing efficiency of turbulent flows," Phys. Fluids PHFLE61070-663110.1063/1.1811671 16, 4746 (2004).
24. L. Verwisch and T. Poinsot, "Direct numerical simulation of non-premixed turbulent flames," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.30.1.655 30, 655 (1998).
25. W. Kollmann and J. J. Lienau, "Computation of topological and geometric properties of isosurfaces I: Theory and numerical method," Int. J. Comput. Fluid Dyn. IJCFEC1061-8562 8, 83 (1997).
26. R. W. Bilger, "Turbulent jet diffusion flames," Prog. Energy Combust. Sci. PECSDO0360-128510.1016/0360-1285(76)90022-8 1, 87 (1976).
27. N. Peters, "Laminar flamelet concepts in turbulent combustion," Proc. Combust. Inst.PCIRC2 21, 1231 (1986).
28. A. Y. 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).
29. M. Chertkov, G. Falkovich, and I. Kolokolov, "Intermittent dissipation of a passive scalar in turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.80.2121 80, 2121 (1998).
30. A. Gamba and I. Kolokolov, "Dissipation statistics of a passive scalar in a multi-dimensional smooth flow," J. Stat. Phys. JSTPBS0022-471510.1023/A:1004522830805 94, 759 (1999).
31. K. R. Sreenivasan, R. A. Antonia, and H. Q. Dahn, "Temperature dissipation fluctuations in a turbulent boundary layer," Phys. Fluids PFLDAS0031-917110.1063/1.862005 20, 1238 (1977).
32. Y. G. Sinai and V. Yakhot, "Limiting probability distributions of a passive scalar in a random velocity field," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.63.1962 63, 1962 (1989).
33. L. Mydlarski and Z. Warhaft, "Passive scalar statistics in high-Péclet number grid turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112097008161 358, 135 (1998).
34. M. R. Overholt and S. B. Pope, "Direct numerical simulation of a passive scalar with imposed mean gradient in isotropic turbulence," Phys. Fluids PHFLE61070-663110.1063/1.869099 8, 3128 (1996).
35. A. Celani, A. Lanotte, A. Mazzino, and M. Vergassola, "Fronts in passive scalar turbulence," Phys. Fluids PHFLE61070-663110.1063/ 1.1367325 13, 1768 (2001).
36. M. Ferchichi and S. Tavoularis, "Scalar probability density function and fine structure in uniformly sheared turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112002008285 461, 155 (2002).
37. T. C. Jayesh and Z. Warhaft, "Probability distribution of a passive scalar in grid-generated turbulence," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.67.3503 67, 3503 (1991).
38. B. I. Shraiman and E. D. Siggia, "Lagrangian path integral and fluctuations in random flow," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.49.2912 49, 2912 (1994).
39. E. Villermaux and J. Duplat, "Mixing as an aggragation process," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.91.184501 91, 184501 (2003).
40. F. Gao and E. E. O'Brien, "Joint probability density function of a scalar and its gradient in isotropic turbulence," Phys. Fluids A PFADEB0899-821310.1063/1.857941 3, 1625 (1991).
41. K. R. Sreenivasan and B. Dhruva, "Is there scaling in high-Reynolds-number turbulence?" Prog. Theor. Phys. PTPKAV0033-068X 130, 103 (1998).
42. P. Kailasnath, K. R. Sreenivasan, and J. R. Saylor, "Conditional scalar dissipation rates in turbulent wakes, jets and boundary layers," Phys. Fluids A PFADEB0899-821310.1063/1.858677 5, 3207 (1993).
43. U. Frisch and M. Vergassola, "A prediction of the multifractal model: The intermediate dissipation range," Europhys. Lett. EULEEJ0295-5075 14, 439 (1991).
44. D. A. Donzis, P. K. Yeung, and K. R. Sreenivasan, "Scalar dissipation rate and dissipative anomaly in isotropic turbulence," J. Fluid Mech. JFLSA70022-112010.1017/S0022112005004039 532, 199 (2005).