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Motion of a sphere in the presence of a plane interface. Part 1. An approximate solution by generalization of the method of Lorentz

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. http://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.


Item Type:Article
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http://dx.doi.org/10.1017/S0022112079001981DOIUNSPECIFIED
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=388515&fulltextType=RA&fileId=S0022112079001981PublisherUNSPECIFIED
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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NSFENG78-10317
Record Number:CaltechAUTHORS:20120726-090448676
Persistent URL:http://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: Ruth Sustaita
Deposited On:30 Jul 2012 16:18
Last Modified:26 Dec 2012 15:44

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