Targeting transport properties in nanofluidics: Hydrodynamic interaction among slip surface nanoparticles in solution

Journal of Computational and Theoretical Nanoscience

Volumn 5, Issue 10, 2008, Pages 2004-2021

  Ichiki, Kengo ^a,b   Kobryn, Alexander E ^b   Kovalenko, Andriy ^a,b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

Hydrodynamic interaction; Nanofluidics; Slip boundary condition; Stokes flow

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DRAG; DRAG COEFFICIENT; FLOW INTERACTIONS; FLUID DYNAMICS; HYDRODYNAMICS; INCOMPRESSIBLE FLOW; LAMINAR FLOW; NANOPARTICLES; RHEOLOGY; SHEAR VISCOSITY; SPIN DYNAMICS; THEOREM PROVING; TRANSPORT PROPERTIES; VISCOSITY;

APPLIED FORCES; BODY SYSTEMS; CONSTANT FORCES; DRAG FORCES; EWALD SUMMATIONS; FORCE MOMENTS; GENERAL SOLUTIONS; HYDRODYNAMIC INTERACTION; LARGE BIOMOLECULES; LENGTH DEPENDENCES; LINEAR FLOWS; MOBILITY MATRIXES; MULTIPOLE EXPANSIONS; NANOFLUIDIC CHANNELS; NANOFLUIDIC DEVICES; NANOPARTICLE SURFACES; PARTICLE PROBLEMS; PERIODIC BOUNDARY CONDITIONS; PERIODIC SYSTEMS; RATIONAL DESIGNS; RHEOLOGICAL PROPERTIES; SEDIMENTATION VELOCITIES; SLIP BOUNDARY CONDITION; SLIP LENGTHS; SLIP PROPERTIES; SLIP SURFACES; STOKES FLOW; STOKESIAN DYNAMICS; SURFACE SLIPS; UNBOUNDED FLUIDS; VELOCITY FIELDS;

NANOFLUIDICS;

EID: 53549104505     PISSN: 15461955     EISSN: None     Source Type: Journal    
DOI: 10.1166/jctn.2008.1007     Document Type: Article

References (59)

1. T. M. Squires and S. R. Quake, Rev. Mod. Phys. 77, 977 (2005).
2. H. A. Stone, A. D. Stroock, and A. Ajdari, Annu. Rev. Fluid Mech. 36, 381 (2004).
3. J. C. T. Eijkel and A. van den Berg, Microfluid Nanofluid 1, 249 (2005).
4. G. Karniadakis, A. Beskok, and N. Aluru, Mircoflows and Nanoflows, Springer, New York (2005).
5. L. R. Huang, E. C. Cox, R. H. Austin, and J. C. Sturm, Science 304, 987 (2004).
6. J. A. Davis, D. W. Inglis, K. J. Morton, D. A. Lawrence, L. R. Huang, S. Y. Chou, J. C. Sturm, and R. H. Austin, Proc. Natl. Acad. Sci. USA 103, 14779 (2006).
7. D. Hun, J. H. Bahng, Y Ling, H.-H. Wei, O. D. Kripfgans, J. B. Fowlkes, J. B. Grotberg, and S. Takayama, Anal. Chem. 79, 1369 (2007).
8. H. Bayley and P. S. Cremer, Nature 413, 226 (2001).
9. C. R. Martin, M. Nishizawa, K. Jirage, and M. Kang, J. Phys. Chem. B 105, 1925 (2001).
10. G. Woodhouse, L. King, L. Wieczorek, P. Osman, and B. Cornell, J. Mol. Recognit. 12, 328 (1999).
11. K. P. Travis, B. D. Todd, and D. J. Evans, Phys. Rev. E 55, 4288 (1997).
12. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics, Martunus Nihhoff, Dordrecht (1973).
13. S. Kim and S. J. Karrila, Microhydrodynamics, Butterworth-Heinemann, Boston (1991).
14. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions, Cambridge University Press, Cambridge (1989).
15. C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge University Press, Cambridge (1992).
16. J. F. Brady and G. Bossis, Annu. Rev. Fluid Mech. 20, 111 (1988).
17. L. Durlofsky, J. F. Brady, and G. Bossis, J. Fluid Mech. 180, 21 (1987).
18. J. F. Brady, R. J. Phillips, J. C. Lester, and G. Bossis, J. Fluid Mech. 195, 257 (1988).
19. L. J. Durlofsky and J. F. Brady, J. Fluid Mech. 200, 39 (1989).
20. A. Sierou and J. F. Brady, J. Fluid Mech. 448, 115 (2001).
21. K. Ichiki, J. Fluid Mech. 452, 231 (2002).
22. A. J. Banchio and J. F. Brady, J. Chem. Phys. 118, 10323 (2003).
23. R. D. Groot and P. B. Warren, J. Chem. Phys. 107, 4423 (1997).
24. E. Lauga, M. P. Brenner, and H. A. Stone, Springer Handbook of Experimental Fluid Dynamics, edited by C. Tropea, A. L. Yarin, and J. F. Foss, Springer, Berlin (2007), Chap. 19, pp. 1219-1240.
25. C. Neto, D. R. Evans, E. Bonaccurso, H.-J. Butt, and V. S. G. Craig, Rep. Prog. Phys. 68, 2859 (2005).
26. O. I. Vinogradova, Int. J. Miner. Process. 56, 31 (1999).
27. E. Lauga and H. A. Stone, J. Fluid Mech. 489, 55 (2003).
28. M. Navier, Mem. Acad. R. Sci. Inst. France 6, 389 (1823).
29. J. C. Maxwell, Phil. Trans. Roy. Soc. Lond. 170, 231 (1879).
30. E. Lauga and T. M. Squires, Phys. Fluids 17, 103102 (2005).
31. K. Ichiki and H. Hayakawa, Phys. Rev. E 52, 658 (1995).
32. A. B. Basset, A Treatise on Hydrodynamics, Dover, New York (1961), Vol. 2.
33. B. U. Felderhof, Physica A 84, 569 (1976).
34. B. U. Felderhof, Physica A 89, 373 (1977).
35. J. Blawzdziewicz, E. Wajnryb, and M. Loewenberg, J. Fluid Mech. 395, 29 (1999).
36. H. Luo and C. Pozrikidis, J. Fluid Mech. 581, 129 (2007).
37. D. J. Jeffrey and Y. Onishi, J. Fluid Mech. 139, 261 (1984).
38. R. Ying and M. H. Peters, J. Fluid Mech. 207, 353 (1989).
39. H. J. Keh and S. H. Chen, Chem. Eng. Sci. 52, 1789 (1997).
40. K. Ichiki, Exact Solution of Two Unequal Rigid Spheres with Arbitrary Slip Surface in Stokes Flows, (to be published).
41. J. R. Blake, Proc. Camb. Phil. Soc. 70, 303 (1971).
42. H. Lamb, Hydrodynamics, Cambridge University Press, Cambridge (1932).
43. B. S. Padmavathi, T. Amaranath, and S. D. Nigam, Fluid Dyn. Res. 11, 229 (1993).
44. D. J. Jeffrey, Phys. Fluids A 4, 16 (1992).
45. C. W. J. Beenakker, J. Chem. Phys. 85, 1581 (1986).
46. K. R. Hase and R. L. Powell, Phys. Fluids 13, 32 (2001).
47. H. Hasimoto, J. Fluid Mech. 5, 317 (1959).
48. G. K. Batchelor, J. Fluid Mech. 52, 245 (1972).
49. A. A. Zick and G. M. Homsy, J. Fluid Mech. 115, 13 (1982).
50. M. Zuzovsky, P. M. Adler, and H. Brenner, Phys. Fluids 26, 1714 (1983).
51. K. C. Nunan and J. B. Keller, J. Fluid Mech. 142, 269 (1984).
52. D. Nykypanchuk, H. H. Strey, and D. A. Hoagland, Science 297, 987 (2002).
53. Z. Li and G. Drazer, Phys. Rev. Lett. 98, 050602 (2007).
54. D. L. Ermak and J. A. McCammon, J. Chem. Phys. 69, 1352 (1978).
55. M. Fixman, J. Chem. Phys. 69, 1527 (1978).
56. G. Bossis and J. F. Brady, J. Chem. Phys. 87, 5437 (1987).
57. T. N. Phung, J. F. Brady, and G. Bossis, J. Fluid Mech. 313, 181 (1996).
58. P. G. De Gennes, C. R. Acad. Sci. Paris B 288, 291 (1979).
59. F. Brochard and P. G. De Gennes, Langmuir 8, 3033 (1992).