Spherical cell approach for the effective viscosity of suspensions

Journal of Physical Chemistry B

Volumn 110, Issue 39, 2006, Pages 19726-19734

  Zholkovskiy, Emiliy K ^a   Adeyinka, Olusola B ^b   Masliyah, Jacob H ^b  

^a INSTITUTE OF BIOCOLLOID CHEMISTRY   (Ukraine)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

PARTICLES (PARTICULATE MATTER); PHASE EQUILIBRIA; VISCOSITY; VOLUME FRACTION;

CONTINUOUS PHASE; SOLID PHASE VOLUME FRACTION; SPHERICAL CELL APPROACH;

SUSPENSIONS (FLUIDS);

EID: 33750349816     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp062667z     Document Type: Article

References (70)

1. Mossotti, O. F. Mem. Soc. Sci. Modena 1850, 14, 49.
2. Clausius, R. Warmetheorie; Braunschweig: Vieweg, 1879.
3. Lorentz, H. A. Wiedem. Ann. 1880, 9, 641.
4. Lorenz, L. Wiedem. Ann. 1881, 11, 70.
5. Maxwell, J. C. Treatise of electricity and magnetism, 2nd ed.; Clarendon Press: Oxford, 1881; Vol. 1.
6. Wigner, E.; Seitz, F. Phys. Rev. 1933, 43, 0804.
7. Wigner, E. Phys. Rev. 1934, 46, 1002.
8. Simha, R. J. Appl. Phys. 1952, 23, 1020.
9. Happel, J. J. Appl. Phys. 1957, 28, 1288.
10. Happel, J.; Brenner, H. Low Reynolds number hydrodynamics, with special applications to particulate media; Prentice Hall: Englewood Cliffs, NJ, 1965.
11. Kuwabara, S. J. Phys. Soc. Jpn. 1959, 14, 527.
12. Engstrom, S.; Wennerstrom, H. J. Phys. Chem. 1978, 82, 2711.
13. Gunnarsson, G.; Jonsson, B.; Wennerstrom, H. J. Phys. Chem. 1980, 84, 3114.
14. Zharkikh, N. I.; Shilov, V. N. Colloid J. USSR 1982, 44, 505.
15. Zholkovskij, E. K.; Czarnecki, J.; Masliyah, J. H. J. Colloid Interface Sci. 2001, 234, 293.
16. Dukhin, S. S.; Shilov, V. N. Dielectric Phenomena and the Double Layer in Disperse Systems and Polyelectrolyte; Wiley: New York, 1974.
17. Shilov, V. N.; Borkovskaya, Y. B. Colloid J. USSR 1994, 55, 647.
18. Delgado, A. V.; Arroyo, F. J.; Gonzalez-Caballero, F.; Shilov, V. N.; Borkovskaya, Y. B. Colloids Surf., A 1998, 140, 139.
19. Levine, S.; Neale, G. H. J. Colloid Interface Sci. 1974, 47, 520.
20. Levine, S.; Neale, G.; Epstein, N. J. Colloid Interface Sci. 1976, 57, 424.
21. Shilov, V. N.; Zharkikh, N. I.; Borkovskaya, Y. B. Colloid J. USSR 1981, 43, 434.
22. Ohshima, H. J. Colloid Interface Sci. 1997, 195, 137.
23. Ohshima, H. J. Colloid Interface Sci. 1998, 208, 295.
24. Ohshima, H. J. Colloid Interface Sci. 1999, 212, 443.
25. Dukhin, A. S.; Shilov, V. N.; Ohshima, H.; Goetz, P. J. Langmuir 1999, 15, 6692.
26. Dukhin, A. S.; Shilov, V.; Borkovskaya, Y. Langmuir 1999, 15, 3452.
27. Shilov, V. N.; Borkovskaja, Y. B.; Dukhin, A. S. J. Colloid Interface Sci. 2004, 277, 347.
28. Ohshima, H. Adv. Colloid Interface Sci. 2000, 88, 1.
29. Ding, J. M.; Keh, H. J. J. Colloid Interface Sci. 2001, 236, 180.
30. Keh, H. J.; Wei, Y. K. J. Colloid Interface Sci. 2002, 252, 354.
31. Carrique, F.; Arroyo, F. J.; Delgado, A. V. Colloids Surf., A 2001, 195, 157.
32. Carrique, F.; Arroyo, F. J.; Delgado, A. V. J. Colloid Interface Sci. 2001, 243, 351.
33. Carrique, F.; Arroyo, F. J.; Delgado, A. V. J. Colloid Interface Sci. 2002, 252, 126.
34. Ruiz-Reina, E.; Carrique, F.; Rubio-Hernandez, F. J.; Gomez-Merino, A. I.; Garcia-Sanchez, P. J. Phys. Chem. B 2003, 107, 9528.
35. Rubio-Hernandez, F. J.; Carrique, F.; Ruiz-Reina, E. Adv. Colloid Interface Sci. 2004, 107, 51.
36. Frisch, H. L.; Simha, R. The viscosity of colloidal suspensions and macromolecular solutions. In Rheology: Theory and Applications', Eirich, F. R., Ed.; 1956; Vol. 1; p 525.
37. Einstein, A. Ann. Phys. 1906, 19, 371.
38. Einstein, A. Ann. Phys. 1911, 35, 679.
39. Ford, T. F. J. Phys. Chem. 1960, 64, 1168.
40. Rutgers, R. Rheol. Acta 1962, 2, 202.
41. Thomas, D. G. J.Colloid Sci. 1965, 20, 267
42. Liu, S. J.; Masliyah, J. H. Suspensions: Fundam. Appl. Pet. Ind. 1996, 257, 107.
43. Guth, E.; Simha, R. Kolloid-Z. 1936, 74, 266.
44. Burgers, J. M. Second report on viscosity and plasticity; Royal Netherlands Academy of Sciences: North-Holland Publishing Co.: Amsterdam, 1938.
45. Vand, V. J. Phys. Colloid Chem. 1948, 52, 277.
46. Kirkwood, J. G.; Riseman, J. J. Chem. Phys. 1948, 16, 565.
47. Riseman, J.; Kirkwood, J. G. J. Chem. Phys. 1949, 17, 442.
48. Riseman, J.; Ullman, R. J. Chem. Phys. 1951, 19, 578.
49. Saito, N. J. Phys. Soc. Jpn. 1952, 7, 447.
50. Kynch, G. J. Nature 1959, 184, 1311.
51. Kynch, G. J. Proc. R. Soc. London, Ser. A 1956, 237, 90.
52. Frankel, N. A.; Acrivos, A. Chem. Eng. Sci. 1967, 22, 847.
53. Lundgren, T. S. J. Fluid Mech. 1972, 51, 273.
54. Batchelor G.; Green, J. T. J. Fluid Mech. 1972, 56, 401.
55. Batchelor, G. K. J. Fluid Mech. 1977, 83, 97.
56. Herczynski, R.; Pienkowska, I. Anna. Rev. Fluid Mech. 1980, 12, 237.
57. Beenakker, C. W. J. Physica A 1984, 128, 48.
58. Cichocki, B.; Felderhof, B. U. J. Chem. Phys. 1988, 89, 3705.
59. Clercx, H. J. H.; Schram, P. Phys. Rev. A 1992, 45, 860.
60. Potanin, A. A. J. Colloid Interface Sci. 1993, 156, 143.
61. Arrhenius, S. Z. Phys. Chem. 1887, 1, 285.
62. Mooney, M. J. Colloid Sci. 1951, 6, 162.
63. Brinkman, H. C. J. Chem. Phys. 1952, 20, 571.
64. Roscoe, R. Brit. J. Appl. Phys. 1952, 3, 267.
65. Krieger, I. M.; Dougherty, T. J. Trans. Soc. Rheol. 1959, 3, 137.
66. Krieger, I. M. Adv. Colloid Interface Sci. 1972, 3, 111.
67. Quemada, D. Rheol. Acta 1977, 16, 82.
68. Landau, L. D.; Lifshitz, E. M. Fluid Mechanics, 2nd ed.; Pergamon Press: Oxford, 1987.
69. Lamb, H. Hydrodynamics, 6th ed.; University Press: Cambridge, UK, 1932.
70. Brenner, H. Phys. Fluids 1958, 1, 338.