Study of the development of three-dimensional sets of fluid particles and iso-concentration fields using kinematic simulation

Journal of Fluid Mechanics

Volumn 517, Issue , 2004, Pages 229-249

  Nicolleau, F C G A ^a   Elmaihy, A ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLUIDS; FRACTALS; INSTRUMENT SCALES; KINEMATICS; REYNOLDS NUMBER; SPHERES; SURFACE MEASUREMENT; VISCOSITY;

CUBES; MATERIAL SURFACES;

TURBULENT FLOW;

FLUID MECHANICS; KINEMATICS; MATHEMATICAL ANALYSIS; THREE-DIMENSIONAL FLOW;

EID: 8144225100     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004000898     Document Type: Article

References (27)

1. Batchelor, G. K. 1952 The effect of homogeneous turbulence on material lines and surfaces. Proc. R. Soc. Lond. A 213, 349.
2. Betchov, R. 1956 An inequality concerning the production of vorticity in isotropic turbulence. J. Fluid Mech. 1, 497-504.
3. Buczkowski, S., Kyriacos, S., Nekka, F. & Cartilier, L. 1998 The modified box-counting method: analysis of some characteristic parameters. Pattern Recog. 31, 411-418.
4. Catrakis, H. J. & Dimotakis, P. 1996 Mixing in turbulent jets: scalar measures and isosurface geometry. J. Fluid Mech. 317, 369-406.
5. Elliott, F. W. & Majda, A. J. 1996 Pair dispersion over an intertial range spanning many decades. Phys. Fluids 8, 1052-1060.
6. Flohr, P. & Vassilicos, J. C. 2000 Scalar subgrid model with flow structure for large-eddy simulations of scalar variances. J. Fluid Mech. 407, 315-349.
7. Fung, J. C. H., Hunt, J. C. R., Malik, N. A. & Perkins, R. J. 1992 Kinematic simulation of homogeneous turbulence by unsteady random Fourier modes. J. Fluid Mech. 236, 281-317.
8. Fung, J. C. H., Hunt, J. C. R. & Perkins, R. J. 2003 Diffusivities and velocity spectra of small inertial particles in turbulent-like flows. Proc. R. Soc. Lond. A 459, 445-493.
9. Fung, J. C. H. & Vassilicos, J. C. 1991 Fractal dimensions of lines in chaotic advection. Phys. Fluids A 3, 2725-2733.
10. Fung, J. C. H. & Vassilicos, J. C. 1998 Two-particle dispersion in turbulentlike flows. Phys. Rev. E 52, 1677-1690.
11. Girimaji, S. S. & Pope, S. B. 1990 Material element deformation in isotropic turbulence. J. Fluid Mech. 220, 427-458.
12. Gouldin, F. C. 1987 An application of fractals to modeling premixed turbulent flames. Combust. Flame 68, 249-266.
13. Lane-Serff, G. F. 1993 Investigation of the fractal structure of jets and plumes. J. Fluid Mech. 249, 521-534.
14. Malik, N. A. & Vassilicos, J. C. 1999 A Lagrangian model for turbulent dispersion with turbulent-like flow structure: comparison with DNS for two-particle statistics. Phys. Fluids 11, 1572-1580.
15. Mathieu, J. & Scott, J. 2000 An Introduction to Turbulent Flow. Cambridge University Press.
16. Meneveau, C. & Sreenivasan, K. R. 1990 Interface dimension in intermittent turbulence. Phys. Rev. A 41, 2246-2248.
17. Nicolleau, F. 1996 Numerical determination of turbulent fractal dimensions. Phys. Fluids 8, 2661-2670.
18. Nicolleau, F. & Mathieu, J. 1994 Eddy Break up model and fractal theory - comparisons with experiments. Intl J. Heat Mass Transfer 37, 2925-2933.
19. Nicolleau, F. & Vassilicos, J. C. 2000 Turbulent diffusion in stably stratified non-decaying turbulence. J. Fluid Mech. 410, 123-146.
20. Nicolleau, F. & Vassilicos, J. C. 2003 Turbulent pair diffusion. Phys. Rev. Lett. 90, 245003.
21. Nicolleau, F. & Yu, G. 2004 Two-particle diffusion and locality assumption. Phys. Fluids 16, 2309-2321.
22. Queiros-Conde, D. 1999 Géométrie de l'intermittence en turbulence développée. C. R. Acad. Sci. Paris 327 (Série II b), 1385-1390.
23. Queiros-Conde, D. 2000 Le modèle des peaux entropiques en turbulence développée. C. R. Acad. Sci. Paris 328 (IIb), 541-546.
24. 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.
25. Villermaux, E. & Gagne, Y. 1994 Line dipersion in homogeneous turbulence: stretching, fractal dimensions and micromixing. Phys. Rev. Lett. 73, 252-255.
26. Villermaux, E. & Innocenti, C. 1999 On the geometry of turbulent mixing. J. Fluid Mech. 393, 123-147.
27. Villermaux, E., Innocenti, C. & Duplat, J. 1998 Histogramme des fluctuations scalaires dans le mélange turbulent transitoire. C. R. Acad Sci. Paris 326 (IIb), 21-26.