Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-19T06:19:42.923Z Has data issue: false hasContentIssue false

Large distortion of the electric double layer around a charged particle by a shear flow

Published online by Cambridge University Press:  19 April 2006

D. A. Lever
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge

Abstract

The distortion by a linear flow of the electric double layer around a small particle is studied for the case of a charge cloud which is thick in comparison with the particle radius and for arbitrary flow strengths, including those which are strong enough to produce a significant distortion of the cloud. For weak flows a second-order-fluid approximation is obtained for the stress contribution for a dilute suspension of such particles. For arbitrarily strong flows integral representations of the charge density and numerical calculations of the stress contribution are given for three representative flows: simple shear, axisymmetric strain and two-dimensional straining motion.

Type
Research Article
Copyright
© 1979 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. 1970 J. Fluid Mech. 41, 545.
Booth, F. 1950 Proc. Roy. Soc. A 203, 533.
Chan, F. S. & Goring, D. A. I. 1966 J. Colloid Interface Sci. 22, 371.
Conway, B. E. & Dobry-Duclaux, A. 1960 In Rheology, vol. 3, chap. 3 (ed. F. Eirich). Academic Press.
Dukhin, S. S. 1974 In Surface and Colloid Science, vol. 7, chap. 1 (ed. E. MatijevicM). Wiley.
Russel, W. B. 1976 J. Colloid Interface Sci. 55, 590.
Russel, W. B. 1978a J. Fluid Mech. 85, 209.
Russel, W. B. 1978b J. Fluid Mech. 85, 673.
Wiersma, P. H., Loeb, A. L. & Overbeek, J. Th. G. 1966 J. Colloid Interface Sci. 22, 78.