Experimental assessment of fractal scale similarity in turbulent flows. Part 4. Effects of Reynolds and Schmidt numbers

Journal of Fluid Mechanics

Volumn 377, Issue , 1998, Pages 169-187

  Frederiksen, Richard D ^a   Dahm, Werner J A ^a   Dowling, David R ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY DISSIPATION; FRACTALS; REYNOLDS NUMBER; SHEAR FLOW; STATISTICAL METHODS;

MULTIFRACTAL SCALE SIMILARITY; SCHMIDT NUMBER;

TURBULENT FLOW;

EID: 1542600038     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211209800305X     Document Type: Article

References (26)

1. BUCH, K. A. & DAHM, W. J. A. 1996 Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 1. Sc ≫ 1. J. Fluid Mech. 317, 21-71.
2. BUCH, K. A. & DAHM, W. J. A. 1998 Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows. Part 2. Sc ≈ 1. J. Fluid Mech. 364, 1-29.
3. CHECHETKIN, V. R., LUTOVINOV, V. S. & TURYGIN, A. Y. 1990 Multifractal structure of fully developed hydrodynamic turbulence. II. Intermittency effects in the distribution of passive scalar impurities. J. Statist. Phys. 61, 589-605.
4. CHHABRA, A. B. & SREENIVASAN, K. R. 1992 Scale invariant multiplier distributions in turbulence. Phys. Rev. Lett. 68, 2762-2765.
5. DAHM, W. J. A. & SOUTHERLAND, K. B. 1997 Experimental assessment of Taylor's hypothesis and its applicability to dissipation estimates in turbulent flows. Phys. Fluids 9, 2101-2107.
6. DAHM, W. J. A., SU, L. K. & TACINA, K. M. 1996 Four-dimensional measurements of vector fields in turbulent flows. AIAA Paper 96-1987.
7. DOWLING, D. R. 1991 The estimated scalar dissipation rate in gas-phase turbulent jets. Phys. Fluids A 3, 2229-2246.
8. DOWLING, D. R. 1993 Mixing in gas-phase turbulent jets. In Encyclopedia of Fluid Mechanics, Supplement 2: Advances in Multiphase Flow, (ed. N. Cheremisinoff). pp. 1-25. Gulf.
9. DOWLING, D. R. & DIMOTAKIS, P. E. 1990 Similarity of the concentration field of gas-phase turbulent jets. J. Fluid Mech. 218, 109-141.
10. FREDERIKSEN, R. D., DAHM, W. 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.
11. FREDERIKSEN, R. D., DAHM, W. J. A. & DOWLING, D. R. 1997a Experimental assessment of fractal scale similarity in turbulent flows. Part 2. Higher dimensional intersections and non-fractal inclusions. J. Fluid Mech. 338, 89-126.
12. FREDERIKSEN, R. D., DAHM, W. J. A. & DOWLING, D. R. 1997b Experimental assessment of fractal scale similarity in turbulent flows. Part 3. Multifractal scaling. J. Fluid Mech. 338, 127-155.
13. FRISCH, U. & PARISI, G. 1985 In Turbulence and Predictability in Geaphysical Fluid Mechanics and Climate Dynamics (ed. M. Ghil, R. Benzi & G Parisi). North-Holland.
14. HALSEY, T. C., JENSEN, N. H., KADANOFF, L. P., PROCACCIA, I. & SHRAIMAN, B. I. 1986 Fractal measures and their singularities: The characterization of strange sets. Phys. Rev. A 33, 1141-1151.
15. HENTSCHEL, H. G E. & PROCACCIA, I. 1983 The infinite number of generalized dimensions of fractals and strange attractors. Physica D 8, 435-444.
16. MENEVEAU, C. & SREENIVASAN, K. R. 1987 Simple multifractal cascade model for fully developed turbulence. Phys. Rev. Lett 59, 1424-1427.
17. MENEVEAU, C. & SREENIVASAN, K. R. 1991 The multifractal nature of the turbulent energy dissipation. J. Fluid. Mech. 224, 429-484.
18. PRASAD, R. R., MENEVEAU, C. & SREENIVASAN, K. R. 1988 The multifractal nature of the dissipation field of passive scalar in fully turbulent flows. Phys. Rev. Lett 61, 74-77.
19. PRESS, W. H., FLANNERY, B. P., TEUKOLSKY, S. A. & VETTERLING, W. T. 1986 In Numerical Recipes, pp. 415-420. Cambridge University Press.
20. SHIVAMOGGI, B. K. 1992 Multi-fractal aspects of the intermittency corrections to the spectrum of temperature fluctuations in isotropic turbulence. Phys. Lett. A 168, 47-54.
21. SOUTHERLAND, K. B. & DAHM, W. J. A. 1996 Fully-resolved four-dimensional measurements of the small-scale structure of passive scalar mixing in turbulent flows. Rep. 026779-12. Dept. of Aerospace Engineering, The University of Michigan (Ann Arbor).
22. SREENIVASAN, K. R 1991a Fractals and multifractals in fluid turbulence. Ann. Rev. Fluid Mech. 23, 539-600.
23. SREENIVASAN, K. R. 1991b On local isotropy of passive scalars in turbulent shear flows. Proc. R. Soc. Lond. A 434, 165-182.
24. SREENIVASAN, K. R. & PRASAD, R. R. 1989 New results on the fractal and multifractal structure of the large Schmidt number passive scalars in fully turbulent flows. Physica D 38, 322-329.
25. SREENIVASAN, K. R. & STOLOVITZKY, G. 1995 Turbulent cascades. J. Statist. Phys. 78, 311-333.
26. WANG, L.-P., CHEN, S., BRASSEUR, J. G. & WYNGAARD, J. C. 1996 Examination of hypotheses in the Kolgomorov refined turbulence theory through high-resolution simulations Part 1. Velocity field. J. Fluid Mech. 309, 113-156.