On the geometry of turbulent mixing

Journal of Fluid Mechanics

Volumn 393, Issue , 1999, Pages 123-147

  Villermaux, Emmanuel ^a   Innocenti, Claudia ^a  

^a Institut de Mecanique de Grenoble   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000322002     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099005674     Document Type: Article

References (53)

1. ANTONIA, R. A., SATYAPRAKASH, B. R. & HUSSAIN, A. K. M. F. 1980 Measurements of dissipation rate and some other characteristics of turbulent plane and circular jets. Phys. Fluids 23, 695-699.
2. BATCHELOR, G. K. 1951 Pressure fluctuations in isotropic turbulence. Proc. Camb. Phil. Soc. 47, 359-374.
3. BATCHELOR, G. K. 1959 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. 5, 113-133.
4. BATCHELOR, G. K., HOWELLS, I. D. & TOWNSEND, A. A. 1959 Small-scale variation of convected quantities like temperature in a turbulent fluid. Part 2. The case of large conductivity. J. Fluid Mech. 5, 134-139.
5. BATCHELOR, G. K. & TOWNSEND, A. A. 1956 Turbulent diffusion. In Surveys in Mechanics (ed. G. K. Batchelor & R. M. Davis), pp. 352-399. Cambridge University Press.
6. BETCHOV, R. 1956 An inequality concerning the production of vorticity in isotropic turbulence. J. Fluid Mech. 1, 497-504.
7. BERGSON, H. 1941 L'évolution Créatrice. Presses Universitaires de France, Paris.
8. BREIDENTHAL, R. 1981 Structure in turbulent mixing layers and wakes using a chemical reaction. J. Fluid Mech. 109, 1-24.
9. BROWN, G. L. & ROSHKO, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775-816.
10. CARDOSO, O., GLUCKMAN, B., PARCOLLET, O. & TABELING, P. 1996 Dispersion in quasi-two-dimensional turbulent flow: An experimental study. Phys. Fluids 8, 209-214.
11. CATRAKIS, H. J. & DIMOTAKIS, P. E. 1996 Mixing in turbulent jets: scalar measures and isosurface geometry. J. Fluid Mech. 317, 369-406.
12. COCKE, W. J. 1969 Turbulent hydrodynamic stretching: Consequences of isotropy. Phys. Fluids 12, 2488-2492.
13. CONSTANTIN, P. & PROCACCIA, I. 1994 The geometry of turbulent advection: sharp estimates for the dimension of the level sets. Nonlinearity 7, 1045-1054.
14. CONSTANTIN, P., PROCACCIA, I. & SREENIVASAN, K. R. 1991 Fractal geometry of isoscalar surfaces in turbulence: theory and experiments. Phys. Rev. Lett. 67, 1739-1742.
15. CORRSIN, S. 1951 On the spectrum of isotropic temperature fluctuations in an isotropic turbulence. J. Appl. Phys. 22, 469-473.
16. CORRSIN, S. 1964 The isotropic turbulent mixer: Part II. Arbitrary Schmidt number. AIChE J. 10, 870-877.
17. CSANADY, G. T. 1973 Turbulent Diffusion in the Environment. D. Reidel.
18. DAMKÖHLER, D. 1940 Der Einfluss der Turbulenz auf die Flammengeschwindigkeit in Gasgemischen. Z. Elektroch. 46, 601-652.
19. DANCKWERTS, P. V. 1953 Continuous flow systems. Distribution of residence times. Chem. Engng Sci. 2, 1-15.
20. DURBIN, P. A. 1980 A stochastic model for two particle dispersion and concentration fluctuations in homogeneous turbulence. J. Fluid Mech. 100, 279-302.
21. FLOHR, P. & OLIVARI, D. 1994 Fractal and multifractal characteristics of a passive scalar dispersed in a turbulent jet. Physica D 76, 278-290.
22. FREDERIKSEN, R. D., DAHM, J. A. & DOWLING, D. R. 1996 Experimental assessment of fractal scale-similarity in turbulent flows. Part 1. One-dimensional intersections. J. Fluid Mech. 327, 35-72.
23. GLUCKMAN, B. J., WILLAIME, H. & GOLLUB, J. P. 1993 Geometry of isothermal and isoconcentration surfaces in thermal turbulence. Phys. Fluids A 5, 647-661.
24. HAWTHORNE, W. R., WENDELL D. S. & HOTTEL, H. C. 1949 Mixing and combustion in turbulent gas jets. In Third Symp. on Combustion and Flame and Explosion Phenomena, Baltimore, pp. 266-288. Williams & Wilkins.
25. HUANG, L.-S. & HO, C.-M. 1990 Small-scale transition in a plane mixing layer. J. Fluid Mech. 210, 475-500.
26. KARASSO, P. S. & MUNGAL, M. G. 1996 Scalar mixing and reaction in plane liquid shear layers. J. Fluid Mech. 323, 23-63.
27. KOOCHESFAHANI, M. M. & DIMOTAKIS, P. E. 1986 Mixing and chemical reaction in a turbulent liquid mixing layers. J. Fluid Mech. 170, 83-112.
28. LANE-SERFF, G. F. 1993 Investigation of the fractal structure of jets and plumes. J. Fluid Mech. 249, 521-534.
29. MANDELBROT, B. B. 1975 On the geometry of homogeneous turbulence, with stress on the fractal dimension of the iso-surfaces of scalars. J. Fluid Mech. 72, 401-416.
30. MENEVEAU, C. & SREENIVASAN, K. R. 1990 Interface dimension in intermittent turbulence. Phys. Rev. A 41, 2246-2248.
31. MILLER, P. L. & DIMOTAKIS, P. E. 1991 Stochastic geometric promperties of scalar interfaces in turbulent jets. Phys. Fluids A 3, 168-177.
32. NAGATA, S. 1975 Mixing, Principles and Applications. John Wiley & Sons.
33. NICOLLEAU, F. 1996 Numerical determination of turbulent fractal dimensions. Phys. Fluids 8, 2661-2670.
34. OBOUKHOV, A. M. 1949 Structure of the temperature field in a turbulent flow. Izv. Acad. Nauk SSSR, Geogr. Geofiz 13, 58-69.
35. ORSZAG, S. A. 1970 Comments on 'Turbulent hydrodynamic line stretching: Consequences of isotropy'. Phys. Fluids 12, 2203-2204.
36. OTTINO, J. M. 1989 The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge University Press.
37. PRASAD, R. R. & SREENIVASAN, K. R. 1990 The measurement and interpretation of fractal dimensions of the scalar interface in turbulent flows. Phys. Fluids A 2, 792-807.
38. PROCACCIA, I. & CONSTANTIN, P. 1993 The fractal geometry of the level sets of a contaminant dispersed by chaotic waves. Europhys. Lett. 22, 689-694.
39. RAMSHANKAR, R. & GOLLUB, J. P. 1991 Transport by capillary waves. Part II: Scalar dispersion and structure of the concentration field. Phys. Fluids A 3, 1344-1350.
40. RANZ, W. E. 1979 Application of a stretch model to mixing, diffusion and reaction in laminar and turbulent flows. AIChE J. 25, 41-47.
41. REYNOLDS, O. 1894 Study of fluid motion by means of coloured bands. Nature 50, 161-164.
42. RICHARDSON, L. F. 1926 Atmospheric Diffusion shown on a distance-neighbour graph. Proc. R. Soc. Lond. A 110, 709-737.
43. SAKAI, Y., NAKAMURA, I., LIU, S. & NAKATA, K. 1995 On fractal features of diffusion field in a turbulent jet. In Advances in Turbulence V (ed. R. Benzi), pp. 445-449. Kluwer.
44. SAWFORD, B. L. & HUNT J. C. R. 1986 Effects of turbulence structure, molecular diffusion and source size on scalar fluctuations in homogeneous turbulence. J. Fluid Mech. 165, 373-400.
45. SREENIVASAN, K. R., RAMSHANKAR, R. & MENEVEAU, C. 1989 Mixing, entrainment and fractal dimensions of surfaces in turbulent flows. Proc. R. Soc. Lond. A 421, 79-108.
46. STAPOUNTZIS, H., SAWFORD, B. L., HUNT J. C. R. & BRITTER, R. E. 1986 Structure of the temperature field downwind of a line source in grid turbulence. J. Fluid Mech. 165, 401-424.
47. TAYLOR, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. 20, 196-212.
48. TAYLOR, G. I. 1953 Dispersion of a soluble matter in a solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 218, 44-59.
49. TONG, C. & WARHAFT, Z. 1995 Passive scalar dispersion and mixing in a turbulent jet. J. Fluid Mech. 292, 1-38.
50. VILLERMAUX, E. 1995 Fast bimolecular reactions in homogeneous turbulence: Structure of the reactive interface and surface of reaction. In Advances in Turbulence V (ed. R. Benzi), pp. 529-533. Kluwer.
51. VILLERMAUX, E. & GAGNE, Y. 1994 Line dispersion in homogeneous turbulence: stretching, fractal dimensions and micromixing. Phys. Rev. Lett. 73, 252-255.
52. VILLERMAUX, E., INNOCENTI, C. & DUPLAT, J. 1998 Scalar fluctuations PDF's in transient turbulent mixing. C. R. Acad. Sci. Paris 326 (Série IIb), 21-26.
53. WELANDER, P. 1955 Studies on the general development of motion in a two-dimensional, ideal fluid. Tellus 7, 141-156.