Particle clusters settling under gravity in a viscous fluid

Physics of Fluids

Volumn 21, Issue 7, 2009, Pages

  Alabrudziński, Sławomir ^a   Ekiel Jezewska, Maria L ^b   Chehata Gómez, Daniel ^c,d   Kowalewski, Tomasz A ^b  

^a WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^b INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

^c AIX MARSEILLE UNIVERSITÉ   (France)

^d UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

REYNOLDS NUMBER; VISCOSITY; VISCOUS FLOW;

ENSEMBLE-AVERAGED; GRAVITATIONAL SETTLINGS; PARTICLE CLUSTERS; RANDOM CONFIGURATIONS; SETTLING VELOCITY; SHORT TIME SCALE; SPHERICAL PARTICLE; UNIFORM DISTRIBUTION;

SPHERES;

EID: 70350707885     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3168615     Document Type: Article

References (16)

1. H. C. Brinkman, "A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles," Appl. Sci. Res., Sect. A ASRAA90365-7132 1, 27 (1949). 10.1007/BF02120313
2. G. K. Batchelor, "Low-Reynolds-number bubbles in fluidised beds," Arch. Mech. AVMHBR0373-2029 26, 339 (1974).
3. E. J. Hinch, "Sedimentation of small particles," in Discorder and Mixing, edited by E. Guyon, J.-P. Nadal, and Y. Pomeau (Kluwer, Dordrecht, 1988).
4. J. M. Nitsche and G. K. Batchelor, "Break-up of a falling drop containing dispersed particles," J. Fluid Mech. JFLSA70022-1120 340, 161 (1997). 10.1017/S0022112097005223
5. G. Machu, W. Meile, L. C. Nitsche, and U. Schaflinger, "Coalescence, torus formation and breakup of sedimenting drops: Experiments and computer simulations," J. Fluid Mech. JFLSA70022-1120 447, 299 (2001). 10.1017/S0022112001005882
6. T. Bosse, C. Härtel, E. Meiburg, and L. Kleiser, "Numerical simulation of finite Reynolds number suspension drops settling under gravity," Phys. Fluids PHFLE61070-6631 17, 037101 (2005). 10.1063/ 1.1851428
7. M. L. Ekiel-Jezewska, B. Metzger, and É. Guazzelli, "Spherical cloud of point particles falling in a viscous fluid," Phys. Fluids PHFLE61070-6631 18, 038104 (2006). 10.1063/ 1.2186692
8. B. Metzger, M. Nicolas, and É. Guazzelli, "Falling clouds of particles in viscous fluids," J. Fluid Mech. JFLSA70022-1120 580, 283 (2007). 10.1017/S0022112007005381
9. I. A. Lasso and P. D. Weidman, "Stokes drag on hollow cylinders and conglomerates," Phys. Fluids PFLDAS0031-917129, 3921 (1986). 10.1063/1.865732
10. B. Cichocki and K. Hinsen, "Stokes drag on conglomerates of spheres," Phys. Fluids PHFLE61070-6631 7, 285 (1995). 10.1063/ 1.868626
11. P. N. Shankar and M. Kumar, "Experimental determination of the kinematic viscosity of glycerol-water mixtures," Proc. R. Soc. London, Ser. A PRLAAZ0950-1207 444, 573 (1994). 10.1098/rspa.1994.0039
12. M. Raffel, Ch. E. Willert, and J. Kompenhans, Particle Image Velocimetry: A Practical Guide (Springer, Berlin, 1998).
13. R. E. Caflisch, C. Lim, J. H. C. Luke, and A. S. Sangani, "Periodic solutions for three sedimenting spheres," Phys. Fluids PFLDAS0031-917131, 3175 (1988). 10.1063/1.866928
14. See EPAPS supplementary material at http://dx.doi.org/10.1063/1.3168615 E-PHFLE6-21-007907for plots which illustrate the reasoning applied to derive the expression plotted in Fig.. In this document, it is shown that intuitive predictions need to be modified to account for the experimental data, and it is explained what are the physical processes responsible for these modifications.
15. 0 were calculated. However, there was no significant difference in the resulting values of the effective radii R.
16. G. C. Abade and F. R. Cunha, "Computer simulation of particle aggregates during sedimentation," Comput. Methods Appl. Mech. Eng. CMMECC0045-7825 196, 4597 (2007). 10.1016/j.cma.2007.05.022