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Hydromechanics of low-Reynolds-number flow. Part 5. Motion of a slender torus

Johnson, Robert E. and Wu, Theodore Y. (1979) Hydromechanics of low-Reynolds-number flow. Part 5. Motion of a slender torus. Journal of Fluid Mechanics, 95 (2). pp. 263-277. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:JOHjfm79

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Abstract

In order to elucidate the general Stokes flow characteristics present for slender bodies of finite centre-line curvature the singularity method for Stokes flow has been employed to construct solutions to the flow past a slender torus. The symmetry of the geometry and absence of ends has made a highly accurate analysis possible. The no-slip boundary condition on the body surface is satisfied up to an error term of O(E^2 ln E), where E is the slenderness parameter (ratio of cross-sectional radius to centre-line radius). This degree of accuracy makes it possible to determine the force per unit length experienced by the torus up to a term of O(E^2). A comparison is made between the force coefficients of the slender torus to those of a straight slender body to illustrate the large differences that may occur as a result of the finite centre-line curvature.


Item Type:Article
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received 20 February 1979)
Record Number:CaltechAUTHORS:JOHjfm79
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:JOHjfm79
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:340
Collection:CaltechAUTHORS
Deposited By: Theodore Yao-tsu Wu
Deposited On:03 Jun 2005
Last Modified:26 Dec 2012 08:39

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