Particle density stratification in transient sedimentation

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

Volumn 68, Issue 3 1, 2003, Pages 314031-3140311

  Dance, S L ^a,b   Maxey, M R ^b  

^a UNIVERSITY OF READING   (United Kingdom)

^b BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; COMPUTER SIMULATION; SEDIMENTATION; VOLUME FRACTION;

PARTICLE DENSITY STRATIFICATION;

FLUID MECHANICS;

EID: 0242410624     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. S. Ramaswamy, Adv. Phys. 50, 297 (2001).
2. R.E. Caflisch and J.H.C. Luke, Phys. Fluids 28, 759 (1985).
3. A.J.C. Ladd, Phys. Rev. Lett. 76, 1392 (1996).
4. A.J.C. Ladd, Phys. Fluids 9, 491 (1997).
5. J.M. Ham and G.M. Homsy, Int. J. Multiphase Flow 14, 533 (1988).
6. H. Nicolai and E. Guazzelli, Phys. Fluids 7, 12 (1995).
7. P.N. Segrè, E. Herbolzheimer, and P.M. Chaikin, Phys. Rev. Lett. 79, 2574 (1997).
8. P.N. Segrè, F. Liu, P. Umbanhowar, and D.A. Weitz, Nature (London) 409, 594 (2001).
9. D.L. Koch and E.S.G. Shaqfeh, J. Fluid Mech. 224, 275 (1991).
10. A. Levine, S. Ramaswamy, E. Frey, and R. Bruinsma, Phys. Rev. Lett. 81, 5944 (1998).
11. P. Tong and B.J. Ackerson, Phys. Rev. E 58, R6931 (1998).
12. M.P. Brenner, Phys, Fluids 11, 754 (1999).
13. A.J.C. Ladd, Phys. Rev. Lett. 88, 048301 (2002).
14. J.H.C. Luke, Phys. Fluids 12, 1619 (2000).
15. P.J. Mucha, S.Y. Tee, D.A. Weitz, B.I. Shraiman, and M.P. Brenner (unpublished).
16. W.B. Russel, D.A. Saville, and W.R. Schowalter, Colloidal Dispersions (Cambridge University Press, Cambridge, 1989).
17. D. Chang, T. Lee, Y. Jang, M. Kim, and S. Lee, Powder Technol. 92, 81 (1997).
18. S. Lee, Y. Jang, C. Choi, and T. Lee, Phys. Fluids A 4, 2601 (1992).
19. S.Y. Tee, P.J. Mucha, L. Cipelletti, S. Manley, M.P. Brenner, P.N. Segre, and D.A. Weitz, Phys. Rev. Lett. 89, 054501 (2002).
20. M.R. Maxey and B.K. Patel, Int. J. Multiphase Flow 27, 1603 (2001).
21. S. Lomholt and M.R. Maxey, J. Comput. Phys. 184, 381 (2003).
22. S. Lomholt, Ph.D. thesis, Risø National Laboratory, 2002.
23. S.L. Dance and M.R. Maxey, J. Comput. Phys. 189, 212 (2003).
24. E. Climent and M.R. Maxey, Int. J. Multiphase Flow 29, 579 (2003).
25. S.L. Dance, E. Climent, and M.R. Maxey (unpublished).
26. J.R. Taylor, An Introduction to Error Analysis (Oxford University Press, Oxford, 1982).
27. H. Nicolai, B. Herzhaft, E.J. Hinch, L. Oger, and E. Guazzelli, Phys. Fluids 7, 3 (1995).
28. J.F. Richardson and W.N. Zaki, Trans. Inst. Chem. Eng. 32, 35 (1954).
29. E. Guazzelli, Phys, Fluids 13, 1537 (2001).
30. J.Z. Xue, E. Herbolzheimer, M.A. Rutgers, W.B. Russel, and P.M. Chaikin, Phys. Rev. Lett. 69, 1715 (1992).
31. X. Lei, B.J. Ackerson, and P. Tong, Phys. Rev. Lett. 86, 3300 (2001).
32. B. Cichocki, R.B. Jones, R. Kutteh, and E. Wajnryb, J. Chem. Phys. 112, 2548 (2000).
33. D. Bruneau, F. Feuillebois, R. Anthore, and E.J. Hinch, Phys. Fluids 8, 2236 (1996).
34. D. Leighton and A. Acrivos, Chem. Eng. Sci. 41, 1377 (1986).
35. G.E. Karniadakis and S.J. Sherwin, Spectral/hp Element Methods for CFD (Oxford University Press, Oxford, 1999).
36. V. Girault and P.A. Raviart, Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms (Springer-Verlag, New York, 1986).
37. E.M. Rønquist, Ph.D. thesis, MIT, 1988.
38. C. Canuto, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1988).
39. Y. Maday, D. Meiron, A.T. Patera, and E.M. Rønquist, SIAM J. Sci. Comput. (USA) 14, 310 (1993).
40. S.L. Dance, Ph.D. thesis, Brown University, 2002.