Published August 1979
| Published
Journal Article
Open
Motion of a sphere in the presence of a plane interface. Part 1. An approximate solution by generalization of the method of Lorentz
- Creators
- Lee, S. H.
- Chadwick, R. S.
- Leal, L. G.
Abstract
The motion of a sphere in the presence of a fluid-fluid interface is studied. First, a solution is derived for a point force near a plane interface. Then the solution is extended to include the higher-order terms which are required to describe the motion of a solid sphere. Singularities of higher orders at the centre of the sphere are obtained by using the method of reflexions. For a fluid–fluid interface with an arbitrary viscosity ratio, the drag force and the hydrodynamic torque are calculated for the special cases of motion of a sphere perpendicular and parallel to the interface. In addition, the rotational motion of a sphere is also investigated.
Additional Information
© 1979 Cambridge University Press. Received 19 October 1978 and in revised form 22 February 1979. Published Online April 19 2006. This work was supported by a grant, ENG78-10317, from the National Science Foundation. The authors also wish to thank Professor Howard Brenner for many helpful discussions during the initial stages of this work.Attached Files
Published - LEEjfm79.pdf
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Additional details
- Eprint ID
- 32737
- Resolver ID
- CaltechAUTHORS:20120726-090448676
- ENG78-10317
- NSF
- Created
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2012-07-30Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field