Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-18T21:15:27.075Z Has data issue: false hasContentIssue false

Electrokinetic flow round an elliptic cylinder in a finite fluid

Published online by Cambridge University Press:  28 March 2006

R. Cade
Affiliation:
Department of Mathematics, University of the West Indies, Jamaica
Althea Rowe
Affiliation:
Department of Mathematics, University of the West Indies, Jamaica

Extract

The flow round an elliptic cylinder immersed in a finite volume of fluid and influenced by an electric field is determined, under the boundary conditions arising from electrosmosis at the surface of the cylinder. This is a problem in slow viscous flow with difficult boundary conditions, and is solved by numerical analysis, using the relaxation method. After the flow pattern has been determined, the mechanical action on the cylinder is calculated. An experimental application based on the theoretical results is suggested as a method for the determination of electrokinetic potentials.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1965

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

Adam, N. K. 1941 The Physics and Chemistry of Surfaces, 3rd edn.Oxford University Press.Google Scholar
Allen, D. N.de, G. 1954 Relaxation Methods in Engineering and Science. New York: McGraw-Hill.Google Scholar
Birkhoff, G. 1955 Hydrodynamics. New York: Dover Publications.Google Scholar
Brown, W. F. 1951 Amer. J. Phys. 19, 290.Google Scholar
Cade, R. 1954 Proc. Phys. Soc. B, 67, 689.Google Scholar
Henry, D. C. 1931 Proc. Roy. Soc. A, 133, 106.Google Scholar
Jeans, J. H. 1943 Electricity and Magnetism, 5th edn.Cambridge University Press.Google Scholar
Khan, W. 1958 M.Sc. Thesis, University of London.Google Scholar
King, E. S. 1955 M.Sc. Thesis, University of London.Google Scholar
Rowe, A. 1962 MSc. Thesis, University of London.Google Scholar