Lee, S. H. and Chadwick, R. S. and Leal, L. G. (1979) Motion of a sphere in the presence of a plane interface. Part 1. An approximate solution by generalization of the method of Lorentz. Journal of Fluid Mechanics, 93 (4). pp. 705-726. ISSN 0022-1120. doi:10.1017/S0022112079001981. https://resolver.caltech.edu/CaltechAUTHORS:20120726-090448676
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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.
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| 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. | |||||||||
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| Issue or Number: | 4 | |||||||||
| DOI: | 10.1017/S0022112079001981 | |||||||||
| Record Number: | CaltechAUTHORS:20120726-090448676 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120726-090448676 | |||||||||
| Official Citation: | S. H. Lee, R. S. Chadwick and L. G. Leal (1979). Motion of a sphere in the presence of a plane interface. Part 1. An approximate solution by generalization of the method of Lorentz. Journal of Fluid Mechanics, 93 , pp 705-726 doi:10.1017/S0022112079001981 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 32737 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 30 Jul 2012 16:18 | |||||||||
| Last Modified: | 09 Nov 2021 21:29 |
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