Time-dependent laminar electrokinetic slip flow in infinitely extended rectangular microchannels

Journal of Chemical Physics

Volumn 118, Issue 1, 2003, Pages 354-363

  Yang, Jun ^a   Kwok, Daniel Y ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CHANNEL FLOW; ELECTRIC CURRENTS; ELECTRIC FIELDS; ELECTRIC POTENTIAL; HYDRODYNAMICS; NAVIER STOKES EQUATIONS; POISSON EQUATION; TWO DIMENSIONAL;

BOLTZMANN EQUATION; ELECTRICAL DOUBLE LAYER; EXTENDED RECTANGULAR MICROCHANNELS; TIME-INDEPENDENT LAMINAR ELECTROKINETIC SLIP FLOW;

LAMINAR FLOW;

EID: 0037260959     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1525804     Document Type: Article

References (32)

1. Y. J. Song and T. S. Zhao, J. Micromech. Microeng. 11, 713 (2001).
2. J. N. Pfrahler, Advances in Thermal Modeling of Electronic Components and Systems (ASME, New York, 1990), Vol. II, Chap. 3.
3. C. E. Hunt, C. A. Desmond, D. R. Ciarlo, and W. J. Benett, J. Micromech. Microeng. 1, 152 (1991).
4. J. D. Harrison, K. Fluri, K. Seiler, Z. H. Fan, C. S. Effenhauser, and A. Manz, Science 261, 895 (1993).
5. P. J. Blackshear, Sci. Am. 241, 52 (1979).
6. R. D. Penn, J. A. Paice, W. Gottschalk, and A. D. Ivankovich, J. Neurosurg. 61, 302 (1984).
7. C. L. Rice and R. Whitehead, J. Phys. Chem. 69, 4017 (1965).
8. C. Yang, D. Q. Li, and J. H. Masliyah, Int. J. Heat Mass Transf. 41, 4229 (1998).
9. L. Hu, J. D. Harrison, and J. H. Masliyah, J. Colloid Interface Sci. 215, 300 (1999).
10. D. G. Drake, Q. J. Mech. Appl. Math. 18, 1 (1965).
11. V. O'Brien, J. Franklin Inst. 300, 225 (1975).
12. C. Fan and B. T. Chao, Z. Angew. Math. Phys. 16, 351 (1965).
13. K. Watanabe, Y. Udagawa, and H. Udagawa, J. Fluid Mech. 381, 225 (1999).
14. D. C. Tretheway and C. D. Meinhart, Phys. Fluids 14, L9 (2002).
15. R. Pit, H. Hervet, and L. Léger, Phys. Rev. Lett. 85, 980 (2000).
16. P. A. Thompson and S. M. Troian, Nature (London) 389, 360 (1997).
17. C. L. M. H. Navier, Mem. Acad. R. Sci. Inst. France 1, 414 (1823).
18. S. Goldstein, Modern Developments in Fluid Dynamics (Dover, New York, 1965), Vol. 2.
19. A. Shadowitz, The Electromagnetic Field (Dover, New York, 1975).
20. H. Greberg and R. Kjellander, J. Chem. Phys. 108, 2940 (1998).
21. E. González-Tovar, M. Lozada-Cassou, and W. Olivares, J. Chem. Phys. 94, 2219 (1991).
22. W. Olivares, B. Sulbarán, and M. Lozada-Cassou, J. Phys. Chem. 97, 4780 (1993).
23. W. Olivares, B. Sulbarán, and M. Lozada-Cassou, J. Chem. Phys. 103, 8179 (1995).
24. P. Zaini, H. Modarress, and G. A. Mansoori, J. Chem. Phys. 104, 3832 (1996).
25. J. H. Masliyah, Electrokinetic Transport Phenomena (Alberta Oil Sands Technology and Research Authority, Edmonton, 1994).
26. G. M. Mala, D. Q. Li, and J. D. Dale, Int. J. Heat Mass Transf. 40, 3079 (1997).
27. G. M. Mala, D. Q. Li, C. Werner, H. J. Jacobasch, and Y. B. Ning, Int. J. Heat Fluid Flow 18, 489 (1997).
28. J. V. Beck, Heat Conduction Using Green's Functions (Hemisphere, New York, 1992).
29. P. Mazur and J. T. G. Overbeek, Rec. Trav. Chim. 70, 83 (1951).
30. R. J. Hunter, Introduction to Modern Colloid Science (Oxford Science, New York, 1993).
31. J. S. Newman, Electrochemical Systems, 2nd ed. (Prentice-Hall, Englewood Cliffs, 1991).
32. A. Bhattacharyya, J. H. Masliyah, and J. Yang, J. Colloid Interface Sci. (to be published).