Fluid particle diffusion in a semidilute suspension of model micro-organisms

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

Volumn 82, Issue 2, 2010, Pages

  Ishikawa, Takuji ^a   Locsei, J T ^b   Pedley, T J ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BASIC MECHANICS; BOUNDARY ELEMENT TECHNIQUES; DIFFUSION PHENOMENA; DIFFUSIVE PROPERTIES; DIFFUSIVITIES; FLUID PARTICLE MOTIONS; FLUID PARTICLES; NON-BROWNIAN; PROBABILITY DENSITY DISTRIBUTION; RECIRCULATION REGIONS; SCALING ANALYSIS; SEMIDILUTE; SEMIDILUTE REGIME; STOKESIAN DYNAMICS; TRACER PARTICLE;

BIOLOGY; BOUNDARY ELEMENT METHOD; DIFFUSION IN SOLIDS; FLUIDS; MICROORGANISMS; NUMBER THEORY; NUMERICAL METHODS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; SPHERES;

SUSPENSIONS (FLUIDS);

EID: 77956125228     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.021408     Document Type: Article

References (48)

1. T. Ishikawa, J. R. Soc., Interface 6, 815 (2009). 10.1098/rsif.2009.0223
2. M. J. R. Fasham, H. W. Ducklow, and S. M. McKelvie, J. Mar. Res. 48, 591 (1990).
3. T. J. Pedley and J. O. Kessler, Annu. Rev. Fluid Mech. 24, 313 (1992). 10.1146/annurev.fl.24.010192.001525
4. A. M. Metcalfe, T. J. Pedley, and T. F. Thingstad, J. Mar. Syst. 49, 105 (2004). 10.1016/j.jmarsys.2003.07.003
5. S. Childress, M. Levandowsky, and E. A. Spiegel, J. Fluid Mech. 69, 591 (1975). 10.1017/S0022112075001577
6. T. J. Pedley and J. O. Kessler, J. Fluid Mech. 212, 155 (1990). 10.1017/S0022112090001914
7. A. J. Hillesdon, T. J. Pedley, and J. O. Kessler, Bull. Math. Biol. 57, 299 (1995). 10.1007/BF02460620
8. M. A. Bees and N. A. Hill, Phys. Fluids 10, 1864 (1998). 10.1063/1.869704
9. A. M. Metcalfe and T. J. Pedley, J. Fluid Mech. 445, 121 (2001). 10.1017/S0022112001005547
10. N. A. Hill and T. J. Pedley, Fluid Dyn. Res. 37, 1 (2005). 10.1016/j.fluiddyn.2005.03.002
11. X.-L. Wu and A. Libchaber, Phys. Rev. Lett. 84, 3017 (2000). 10.1103/PhysRevLett.84.3017
12. M. J. Kim and K. S. Breuer, Phys. Fluids 16, L78 (2004). 10.1063/1.1787527
13. K. C. Leptos, J. S. Guasto, J. P. Gollub, A. I. Pesci, and R. E. Goldstein, Phys. Rev. Lett. 103, 198103 (2009). 10.1103/PhysRevLett.103.198103
14. J. P. Hernandez-Ortiz, C. G. Stoltz, and M. D. Graham, Phys. Rev. Lett. 95, 204501 (2005). 10.1103/PhysRevLett.95.204501
15. P. T. Underhill, J. P. Hernandez-Ortiz, and M. D. Graham, Phys. Rev. Lett. 100, 248101 (2008). 10.1103/PhysRevLett.100.248101
16. D. Saintillan and M. J. Shelley, Phys. Rev. Lett. 100, 178103 (2008). 10.1103/PhysRevLett.100.178103
17. D. Saintillan and M. J. Shelley, Phys. Fluids 20, 123304 (2008). 10.1063/1.3041776
18. I. Llopis and I. Pagonabarraga, EPL 75, 999 (2006). 10.1209/epl/i2006- 10201-y
19. I. Llopis and I. Pagonabarraga, Eur. Phys. J. E 26, 103 (2008). 10.1140/epje/i2007-10295-y
20. A. J. C. Ladd, J. Fluid Mech. 271, 285 (1994). 10.1017/S0022112094001771
21. A. J. C. Ladd, J. Fluid Mech. 271, 311 (1994). 10.1017/S0022112094001783
22. A. J. C. Ladd, Phys. Fluids 9, 491 (1997). 10.1063/1.869212
23. A. S. Sangani and G. Mo, Phys. Fluids 8, 1990 (1996). 10.1063/1.869003
24. A. Z. Zinchenko and R. H. Davis, J. Comput. Phys. 157, 539 (2000). 10.1006/jcph.1999.6384
25. A. Z. Zinchenko and R. H. Davis, J. Fluid Mech. 455, 21 (2000). 10.1017/S0022112001007042
26. A. Z. Zinchenko and R. H. Davis, J. Comput. Phys. 207, 695 (2005). 10.1016/j.jcp.2005.01.026
27. A. Z. Zinchenko and R. H. Davis, J. Comput. Phys. 227, 7841 (2008). 10.1016/j.jcp.2008.05.004
28. T. Ishikawa, M. P. Simmonds, and T. J. Pedley, J. Fluid Mech. 568, 119 (2006). 10.1017/S0022112006002631
29. T. Ishikawa, J. T. Locsei, and T. J. Pedley, J. Fluid Mech. 615, 401 (2008). 10.1017/S0022112008003807
30. T. Ishikawa and T. J. Pedley, Phys. Rev. Lett. 100, 088103 (2008). 10.1103/PhysRevLett.100.088103
31. J. C. M. Li and P. Chang, J. Chem. Phys. 23, 2012 (1955). 10.1063/1.1740656
32. T. Ishikawa and T. Yamaguchi, Phys. Rev. E 77, 041402 (2008). 10.1103/PhysRevE.77.041402
33. J. F. Brady and G. Bossis, Annu. Rev. Fluid Mech. 20, 111 (1988). 10.1146/annurev.fl.20.010188.000551
34. J. F. Brady, R. J. Phillips, J. C. Lester, and G. Bossis, J. Fluid Mech. 195, 257 (1988). 10.1017/S0022112088002411
35. M. J. Lighthill, Commun. Pure Appl. Math. 5, 109 (1952). 10.1002/cpa.3160050201
36. J. R. Blake, J. Fluid Mech. 46, 199 (1971). 10.1017/S002211207100048X
37. B. U. Felderhof and R. B. Jones, Physica A 202, 119 (1994). 10.1016/0378-4371(94)90170-8
38. H. A. Stone and A. D. T. Samuel, Phys. Rev. Lett. 77, 4102 (1996). 10.1103/PhysRevLett.77.4102
39. V. Magar, T. Goto, and T. J. Pedley, Q. J. Mech. Appl. Math. 56, 65 (2003). 10.1093/qjmam/56.1.65
40. V. Magar and T. J. Pedley, J. Fluid Mech. 539, 93 (2005). 10.1017/S0022112005005768
41. C. W. J. Beenakker, J. Chem. Phys. 85, 1581 (1986). 10.1063/1.451199
42. L. Durlofsky, J. F. Brady, and G. Bossis, J. Fluid Mech. 180, 21 (1987). 10.1017/S002211208700171X
43. S. Kim and S. J. Karrila, Microhydrodynamics: Principles and Selected Applications (Butterworth Heinemann, London, 1992).
44. J. F. Brady and G. Bossis, J. Fluid Mech. 155, 105 (1985). 10.1017/S0022112085001732
45. C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge University Press, Cambridge, England, 1992), Chap.. 10.1017/CBO9780511624124
46. G. K. Batchelor and J. T. Green, J. Fluid Mech. 56, 375 (1972). 10.1017/S0022112072002927
47. T. Ishikawa and T. J. Pedley, J. Fluid Mech. 588, 437 (2007). 10.1017/S0022112007007847
48. A. Zick and G. M. Homsy, J. Fluid Mech. 115, 13 (1982). 10.1017/S0022112082000627