Some new features of the passive scalar mixing in a turbulent flow

Physics of Fluids

Volumn 11, Issue 2-3, 1999, Pages 636-646

  Danaila, L ^a   Le Gal, P ^a   Anselmet, F ^a   Plaza, F ^b   Pinton, J F ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b Laboratoire de Physique UMR CNRS ENSL   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000528639     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869935     Document Type: Article

References (38)

1. A. S. Monin and A. M. Yaglom, Statistical Fluid Mechanics (MIT Press, Cambridge, 1975), Vol. 2.
2. F. Anselmet, Y. Gagne, E. J. Hopfinger, and R. A. Antonia, "High-order velocity structure functions in turbulent shear-flows," J. Fluid Mech. 140, 163 (1984).
3. S. Corrsin, "On the spectrum of isotropic temperature fluctuations in isotropic turbulence," J. Appl. Phys. 22, 469 (1951); A. M. Oboukhov, "Structure of the temperature field in turbulent flows," Izv. Akad. Nauk SSSR Geogr. Geofiz. 13, 58 (1949).
4. S. Corrsin, "On the spectrum of isotropic temperature fluctuations in isotropic turbulence," J. Appl. Phys. 22, 469 (1951); A. M. Oboukhov, "Structure of the temperature field in turbulent flows," Izv. Akad. Nauk SSSR Geogr. Geofiz. 13, 58 (1949).
5. R. A. Antonia, E. J. Hopfinger, Y. Gagne, and F. Anselmet, "Temperature structure functions in turbulent shear flows," Phys. Rev. A 30, 5 (1984).
6. C. Meneveau, K. R. Sreenivasan, P. Kailasnath, and M. S. Fan, "Joint multifractal measures: Theory and applications to turbulence," Phys. Rev. A 41, 894 (1990).
7. E. Lévêque, S. Ciliberto, C. Baudet, and G. Ruiz-Chavarria, "Statistical properties of the energy flow of a passive scalar in fully developed turbulence," Advances in Turbulence VII, edited by U. Frisch (Kluwer Academic, New York, 1998).
8. G. He and B. Dubrulle, "About generalized scaling for passive scalars in fully developed turbulence," J. Phys. II 7, 793 (1997).
9. R. H. Kraichnan, "Anomalous scaling of a randomly advected passive scalar," Phys. Rev. Lett. 78, 4922 (1997), and references therein.
10. E. Ching, V. S. L'vov, and I. Procaccia, "Fusion rules and conditional statistics in turbulent advection," Phys. Rev. E 54, 4520 (1996).
11. S. Vaienti, M. Ould-Rouis, F. Anselmet, and P. Le Gal, "Statistics of temperature increments in fully developed turbulence: Part 1: Theory," Physica D 73, 99 (1994).
12. M. Ould-Rouis, F. Anselmet, P, Le Gal, and S. Vaienti, "Statistics of temperature increments in fully developed turbulence: Part 2: Experiments," Physica D 85, 405 (1995).
13. L. Danaila, F. Anselmet, P. Le Gal, J. Dusek, C. Brun, and A. Pumir, "Predictions of small-scale statistics for a passive scalar in turbulent mixing," Phys. Rev. Lett. 79, 4577 (1997).
14. R. A. Antonia and C. W. Van Atta, "Structure functions of temperature fluctuations in turbulent shear flows," J. Fluid Mech. 84, 561 (1978).
15. P. Mestayer, "Local isotropy and anisotropy in a high-Reynolds-number turbulent bondary layer," J. Fluid Mech. 125, 475 (1982).
16. K. R. Sreenivasan, "On local isotropy of passive scalars in turbulent shear flows," Proc. R. Soc. London, Ser. A 434, 165 (1991).
17. M. Holzer and E. D. Siggia, "Turbulent mixing of a passive scalar," Phys. Fluids 6, 1820 (1994).
18. A. Pumir, "A numerical study of the mixing of the passive scalar in three dimensions in the presence of a mean gradient," Phys. Fluids 6, 2118 (1994).
19. C. Tong and Z. Warhaft, "On passive scalar derivative statistics in grid turbulence," Phys. Fluids 6, 2165 (1994).
20. C. Béguier, L. Fulachier, and J. F. Keffer, "The turbulent mixing layer with an asymmetrical distribution of temperature," J. Fluid Mech. 89, 561 (1978).
21. K. R. Sreenivasan, S. Tavoularis, and S. Corrsin, "A test of gradient transport and its generalizations," in Turbulent Shear Flows 3, edited by L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, and J. H. Whitelaw (Springer, Berlin, 1981), p. 96.
22. J. Maurer, P. Tabeling, and G. Zocchi, "Statistics of turbulence between two counter-rotating disks in low-temperature helium gas," Europhys. Lett. 26, 31 (1994).
23. J. F. Pinton and R. Labbé, "Correction to the Taylor hypothesis in swirling flows," J. Phys. II 4, 1461 (1994).
24. J. F. Pinton, F. Plaza, L. Danaila, P. Le Gal, and F. Anselmet, "On velocity and passive scalar scaling laws in a turbulent swirling flow," Physica D 122, 187 (1998).
25. L. W. B. Browne and R. A. Antonia, "The effect of wire length on temperature statistics in a turbulent wake," Exp. Fluids 5, 426 (1987).
26. J. C. Wyngaard, "Spatial resolution of a resistance wire temperature sensor," Phys. Fluids 14, 2052 (1971).
27. L. Fulachier, "Hot wire measurements in low speed heated flow," in Proceedings of the Dynamic Flow Conference (P.O. Box 121, DK-2740, Skovlunde, Denmark, 1978).
28. R. Chevray and N. K. Tutu, "Simultaneous measurements of temperature and velocity in heated flow," Rev. Sci. Instrum. 43, 1417 (1972).
29. G. K. Batchelor, The Theory of Homogeneous Turbulence (Cambridge University Press, Cambridge, 1953).
30. A. Pumir, "Small scale properties of scalar and velocity differences in three-dimensional turbulence," Phys. Fluids 6, 3974 (1994).
31. L. Mydlarski and Z. Warhaft, "Passive scalar statistics in high-Péclet-number grid turbulence," J. Fluid Mech. 358, 135 (1998).
32. K. R. Sreenivasan and S. Tavoularis, "On the skewness of the temperature derivative in turbulent flows," J. Fluid Mech. 101, 783 (1980).
33. R. A. Antonia, A. J. Chambers, C. W. Van Atta, C. A. Friehe, and K. N. Heiland, "Skewness of temperature derivative in a heated grid flow," Phys. Fluids 21, 509 (1978).
34. K. R. Sreenivasan, R. A. Antonia, and D. Britz, "Local isotropy and large structures in a heated turbulent jet," J. Fluid Mech. 94, 745 (1979).
35. R. A. Antonia, F. Anselmet, and A. J. Chambers, "Assessment of local isotropy using measurements in a turbulent plane jet," J. Fluid Mech. 163, 365 (1986).
36. A. M. Yaglom, "On the local structure of a temperature field in a turbulent flow," Dokl. Akad. Nauk SSSR 69, 743 (1949).
37. E. E. O'brien, "The probability density function (PDF) approach to reacting turbulent flows," in Turbulent Reacting Flows, edited by P. A. Libby and F. A. Williams (Springer, Berlin, 1980), Vol. 44.
38. E. S. C. Ching, "Probabilities for temperature differences in Rayleigh-Bénard convection," Phys. Rev. A 44, 3622 (1991).