Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-07T22:33:31.576Z Has data issue: false hasContentIssue false
  • English
  • Français

Electrohydrodynamics of a pair of liquid drops

Published online by Cambridge University Press:  29 March 2006

C. Sozou
C. Sozou
Affiliation:
Department of Applied Mathematics and Computing Science, University of Sheffield, England
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we consider the flow field generated by a uniform electrostatic field in and about a pair of identical liquid drops immersed in a conducting fluid. It is assumed that the undisturbed electric field is parallel to the line joining the centres of the two drops. The flow field is due to the tangential electric stress over the surfaces of the drops and here this stress and the flow field are expressed in terms of bispherical harmonics. When the distance between the centres of the drops is many drop diameters the tangential electric stress and the flow field in and about one drop are unaffected by the presence of the other drop, as expected. When the distance between the centres of the drops is of the order of two drop diameters there is a substantial modification in the tangential electric stress at the surfaces of the drops and in the induced flow field, especially in the region between the planes through the drop centres perpendicular to the undisturbed electric field.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 67 , Issue 2 , 28 January 1975 , pp. 339 - 348
Copyright
© 1975 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

Brazier-Smith, P. R., Jennings, S. G. & Latham, J. 1971 Proc. Roy. Soc. A 325, 363.
Garton, C. G. & Krasucki, Z. 1964 Proc. Roy. Soc. A 280, 211.
Latham, J. & Roxburgh, I. W. 1966 Proc. Roy. Soc. A 295, 84.
Sozou, C. 1973 Proc. Roy. Soc. A 334, 343.
Stimson, M. & Jeffery, G. B. 1926 Proc. Roy. Soc. A 111, 110.
Taylor, G. I. 1966 Proc. Roy. Soc. A 291, 159.
Taylor, G. I. 1968 Proc. Roy. Soc. A 306, 403.
Torza, R., Cox, R. G. & Mason, S. G. 1971 Phil. Trans. A 269, 295.