Equilibria for the relative motion of three heavy spheres in Stokes fluid flow

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 4, 2006, Pages

  Ekiel Jeewska, Maria L ^a   Wajnryb, Eligiusz ^a  

^a INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITATION; NONLINEAR SYSTEMS; PHASE EQUILIBRIA; REYNOLDS NUMBER; STABILITY; STATISTICAL MECHANICS;

HEAVY SPHERES; STOKES FLUID FLOW; SYMMETRIC MOTIONS;

FLOW OF FLUIDS;

EID: 33646378134     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.046309     Document Type: Article

References (16)

1. H. C. Berg, Phys. Today PHTOAD 0031-9228 53, 24 (2000).
2. I. M. Jánosi, T. Tél, D. E. Wolf, and J. A. C. Gallas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2858 56, 2858 (1997).
3. L. M. Hocking, J. Fluid Mech. JFLSA7 0022-1120 20, 129 (1964).
4. R. E. Caflisch, C. Lim, J. H. C. Luke, and A. S. Sangani, Phys. Fluids PFLDAS 0031-9171 10.1063/1.866928 31, 3175 (1988).
5. C. C. Lim and I. H. McComb, J. Diff. Eqns. JDEQAK 0022-0396 10.1006/jdeq.1995.1133 121, 384 (1995).
6. M. L. Ekiel-Jeewska and E. Wajnryb, Arch. Mech. AVMHBR 0373-2029 (to be published).
7. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Kluwer Academic Publishers, Leyden, 1991).
8. S. Kim and S. J. Karrila, Microhydrodynamics (Butterworth-Heinemann, Boston, 1991).
9. B. U. Felderhof, Physica A PHYADX 0378-4371 10.1016/0378-4371(88)90036-2 151, 1 (1988).
10. B. Cichocki, B. U. Felderhof, K. Hinsen, E. Wajnryb, and J. Bławzdziewicz, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.466366 100, 3780 (1994).
11. B. Cichocki, M. L. Ekiel-Jeewska, and E. Wajnryb, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.479605 111, 3265 (1999).
12. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992).
13. D. J. Jeffrey and Y. Onishi, J. Fluid Mech. JFLSA7 0022-1120 139, 261 (1984).
14. B. Cichocki, M. L. Ekiel-Jeewska, G. Nägele, and E. Wajnryb, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1766016 121, 2305 (2004).
15. See EPAPS Document No. E-PLEEE8-73-187603 for a movie illustrating the difference between evolution of three point forces and three heavy spheres, initially aligned horizontally. The particles settle in a viscous fluid under identical vertical gravitational forces. Their relative motion is shown in the frame of reference moving with the middle (red) particle. This document can be reached via a direct link in the online article's HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html). Also http://www.ippt.gov.pl/~mekiel
16. D. W. Jordan and P. Smith, Nonlinear Ordinary Differential Equations (Clarendon, Oxford, 1987).