Dimensionality and morphology of particle and bubble clusters in turbulent flow

Journal of Fluid Mechanics

Volumn 607, Issue , 2008, Pages 13-24

  Calzavarini, Enrico ^a,d,e   Kerscher, Martin ^b   Lohse, Detlef ^a,d,e   Toschi, Federico ^c,d,e  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b UNIVERSITY OF MUNICH   (Germany)

^c CNR   (Italy)

^d INFN SEZIONE DI FERRARA   (Italy)

^e International Collaboration for Turbulence Research

Author keywords

[No Author keywords available]

Indexed keywords

AGGLOMERATION; MORPHOLOGY;

FILAMENTARY STRUCTURES; HOMOGENEOUS AND ISOTROPIC TURBULENCE; KAPLAN-YORKE DIMENSIONS; LARGE-SCALE DISTRIBUTION; MORPHOLOGICAL ORDERING; NUMERICAL EXPERIMENTS; PARAMETER COMBINATION; PARTICLE DISTRIBUTIONS;

TOPOLOGY;

BUBBLE; COSMOLOGY; FLOW STRUCTURE; GEOMETRY; MULTIPHASE FLOW; PARAMETERIZATION; PARTICLE MOTION; STOKES FORMULA; TOPOLOGY; TURBULENT FLOW;

EID: 47049094241     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112008001936     Document Type: Article

References (45)

1. ARNS, C., KNACKSTEDT, M. & MECKE, K. 2002 Characterising the morphology of disordered materials. In Morphology of Condensed Matter Physics and Geometry of Spatially Complex Systems (ed. K. R. Mecke & D. Stoyan). Lecture Notes in Physics, vol. 600, pp. 37-74. Springer.
2. AYYALASOMAYAJULA, S., GYLFASON, A., COLLINS, L. R., BODENSCHATZ, E. & Z. WARHAFT 2006 Lagrangian measurements of inertial particle accelerations in grid generated wind tunnel turbulence. Phys. Rev. Lett. 97, 144507.
3. BABIANO, A., CARTWRIGHT, J. H. E., PIRO, O. & PROVENZALE, A. 2000 Dynamics of a Small Neutrally Buoyant Sphere in a Fluid and Targeting in Hamiltonian Systems. Phys. Rev. Lett. 84, 5764-5769.
4. BEC, J. 2003 Fractal clustering of inertial particles in random flows. Phys. Fluids 15, L81-L84.
5. BEC, J. 2005 Multifractal concentrations of inertial particles in smooth random flows. J. Fluid Mech. 528, 255-277.
6. BEC, J., BIFERALE, L., BOFETTA, G., LANOTTE, A. S., MUSACCHIO, S. & TOSCHI, F. 2006a Lyapunov exponent of heavy particles in turbulence. Phys. Fluids 18, 091702.
7. BEC, J., BIFERALE, L., CENCINI, M., LANOTTE, A. S. & TOSCHI, F. 2006b Effects of vortex filaments on the velocity of tracers and heavy particles in turbulence. Phys. Fluids 18, 081702.
8. BEC, J., CENCINI, M. & HILLERBRAND, R. 2007 Heavy particles in incompressible flows: The large stokes number asymptotics. Physica D 226, 11-22.
9. VAN DEN BERG, T. H., LUTHER. S., MAZZITELLI, I., RENSEN, J., TOSCHI, F. & LOHSE, D. 2006 Bubbly turbulence. J. Turb. 7, 1-12.
10. BEWLEY, G. P., LATHROP, D. P. & SREENIVASAN, K. R. 2006 Superfluid helium - visualization of quantized vortices. Nature 441, 588.
11. BIFERALE, L., BOFFETTA, G., CELANI, A., LANOTTE, A. & TOSCHI, F. 2005 Particle trapping in three-dimensional fully developed turbulence. Phys. Fluids 17, 021701.
12. BOIVIN, M., SIMONIN, O. & SQUIRES, K. 1998 Direct numerical simulation of turbulence modulation by particles in isotropic turbulence. J. Fluid Mech. 375, 235-263.
13. BOURGOIN, M., OUELLETTE, N. T., XU, H. T., BERG, I & BODENSCHATZ, E. 2006 The role of pair dispersion in turbulent flow. Science 311, 835-838.
14. CALZAVARINI, E., VAN DEN BERG, T. H., TOSCHI, F. & LOHSE, D. 2008 Quantifying microbubble clustering in turbulent flow from single-point me asurements. Phys. Fluids 20, 040702.
15. CALZAVARINI, E., CENCINI, M., LOHSE, D. & TOSCHI, F. 2007 Quantifying turbulence induced segregation of inertial particles. Phys. Rev. Lett. (submitted).
16. CELANI, A., FALKOVICH, G., MAZZING, A. & SEMINARA, A. 2005 Droplet condensation in turbulent flows. Europhys. Lett. 70, 775-781.
17. CHUN, J., KOCH, D. L., RANI, S. L., AHLUWALIA, A. & COLLINS, L. R. 2005 Clustering of aerosol particles in isotropic turbulence. J. Fluid Mech. 536, 219-251.
18. CROWE, C. T., TROUTT, T. & CHUNG, J. N. 1996 Numerical models for two-phase turbulent flows. Annu. Rev. Fluid Mech. 28, 11-43.
19. DRUZHININ, O. A. & ELGHOBASHI, S. 2001. Direct numerical simulation of a three-dimensional spatially developing bubble-laden mixing layer with two-way coupling. J. Fluid Mech. 429, 23-61
20. ECKMANN, J. P. & RUELLE, D. 1985 Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 67, 617.
21. ELGHOBASHI, S. & TRUESDELL, G. 1992 Direct simulation of particle dispersion in a decaying isotropic turbulence. J. Fluid Mech 242, 655-700.
22. ELGHOBASHI, S. & TRUESDELL, G. 1993 On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification. Phys. Fluids A 5, 1790-1801.
23. FALCONER, K. J. 1990 Fractal Geometry. John Wiley & Sons.
24. FALKOVICH, G., FOUXON, A. & STEPANOV, M. G. 2002 Acceleration of rain initiation by cloud turbulence. Nature 419, 151-154.
25. GATIGNOL, R. 1983 The Faxen formulae for a rigid particle in an unsteady non-uniform Stokes flow. J. Méc. Théori. Appl. 1 143-160.
26. GRASSBERGER, P. & PROCACCIA, I. 1984 Dimensions and entropies of strange attractors from a fluctuating dynamic, approach. Physica D 13. 34-54.
27. HADWIGER, H. 1957 Vorlesungen über Inhalt, Oberfläche und Isoperimetrie. Springer.
28. HERMINGHAUS, S., JACOBS. K., MECKE, K., BISCHOF, J., FERY, A., IBN-ELHAJ, M. & SCHLAGOWSKI, S. 1998 Spinodal dewetting in liquid crystal and liquid metal films. Science 282, 916-919.
29. HOYER, K., HOLZNER, M., LUETHI, B., GUALA, M., LIEBERZON, A. & KINZELBACK, W. 2005 3D scanning particle tracking velocimetry. Exps. Fluids 39, 923-934.
30. KERSCHER, M. 2000 Statistical analysis of large-scale structure in the Universe. In Statistical Physics and Spatial Statistics: The Art of Analyzing and Modeling Spatial Structures and Pattern Formation (ed. K. R. Mecke & D. Stoyan). Lecture Notes in Physics, vol. 554. Springer.
31. KERSCHER, M., MECKE, K., SCHMALZING, J., BEISBART, C., BUCHERT, T. & WAGNER, H. 2001 Morphological fluctuations of large-scale structure: the PSCz survey. Astron. Astrophys. 373, 1-11.
32. KERSCHER, M., SCHMALZING, J., RETZLAFF, J., BORGANI, S., BUCHERT, T., GOTTLÖBER, S., MÜLLER, V., PLIONIS, M. & WAGNER, H. 1997 Minkowski functionals of Abell/ACO clusters. Mon. Not. R. Astron. Soc. 284, 73-84.
33. MALKIEL, E., ABRAS, J. N., WIDDER, E. A. & KATZ, J. 2006 On the spatial distribution and nearest neighbor distance between particles in the water column determined from in situ holographic measurements. J. Plankton Res. 28, 149-170
34. MARCHIOLI, C. & SOLDATI, A. 2002 Mechanisms for particle transfer and segregation in a turbulent boundary layer. J. Fluid Mech. 468, 283-315.
35. MAXEY, M. & RILEY, J. 1983 Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26, 883-889.
36. MAZZITELLI, I., LOHSE, D. & TOSCHI, F. 2003a The effect of microbubbles on developed turbulence. Phys. Fluids 115, L5-L8.
37. MAZZITELLI, I., LOHSE, D. & TOSCHI, F. 2003b On the relevance of the lift force in bubbly turbulence. J. Fluid Mech. 488, 283-313.
38. MECKE, K. 2000 Additivity, convexity, and beyond: Application of minkowski functionals in statistical physics. In Statistical Physics and Spatial Statistics: The Art of Analyzing and Modeling Spatial structures and Pattern Formation (ed. K. Mecke & D. Stoyan). Lecture Notes in Physics, vol. 554. Springer.
39. MECKE, K. R., BUCHERT, T. & WAGNER, H. 1994 Robust morphological measures for large-scale structure in the Universe. Astron. Astrophys. 288, 697-704.
40. MECKE, K. R. & WAGNER, H. 1991 Euler characteristic and related measures for random geometric sets. J. Statist. Phys. 64, 843-850.
41. PORTA, A. L., VOTH, G. A., CRAWFORD, A. M., ALEXANDER, J. & BODENSCHATZ, E. 2001 Fluid particle accelerations in fully developed turbulence. Nature 409, 1017-1019.
42. UPSTILL-GODDARD, R. C. 2006 Air-sea gas exchange in the coastal zone. Esturine Coastal Shelf Sci. 70, 388-404.
43. VAILLANCOURT, P. A., Yau, M. K., BARTELLO, P. & GRABOWSKI, W. W. 2002 Microscopic approach to cloud droplet growth by condensation. part ii: Turbulence, clustering, and condensational growth. J. Atmos. Sci. 59, 3421-3435.
44. WANG, L. & MAXEY, M. 1993 Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence. J. Fluid Mech. 256, 27-68.
45. WILKIN, S. L., BARENGHI, C. F. & SHUKUROV A. 2007 Magnetic structures produced by the smallscale dynamo. Phys. Rev. Lett. 99, 134301.