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The primary electroviscous effect in a suspension of spheres with thin double layers

Published online by Cambridge University Press:  20 April 2006

E. J. Hinch  and
J. D. Sherwood
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge
J. D. Sherwood
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge Present address: Dowell Schlumberger, 42003 St Etienne, France.
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Abstract

We study the primary electroviscous effect in a suspension of spheres when the double layer thickness κ−1 is small compared with the particle radius a. The case of a 1–1 symmetric electrolyte is examined using the methods of Dukhin & coworkers (1974), whilst the asymmetric electrolyte is studied along lines similar to those of O'Brien (1983). Sherwood's (1980) asymptotic results for high surface potentials and high Hartmann numbers are extended and complemented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 132 , July 1983 , pp. 337 - 347
Copyright
© 1983 Cambridge University Press

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References

Batchelor, G. K. 1970 J. Fluid Mech. 41, 545.
Booth, F. 1950 Proc. R. Soc. Lond. A203, 533.
Dukhin, S. S. & Derjaguin, B. V. 1974 In Surface and Colloid Science, vol. 7 (ed. E. Matijevic), chap. 3. Wiley.
Lever, D. A., 1979 J. Fluid Mech. 92, 421.
O'Brien, R. W. 1983 Submitted to J. Colloid Interface Sci.
Russel, W. B. 1978 J. Fluid Mech. 85, 209.
Sherwood, J. D. 1980 J. Fluid Mech. 101, 609.
Watterson, I. G. & White, L. R. 1981 J. Chem. Soc. Faraday Trans. II 77, 1115.