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The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid

Moore, D. W. and Saffman, P. G. and Maxworthy, T. (1969) The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid. Journal of Fluid Mechanics, 39 (4). pp. 831-847. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20120831-095520706

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Abstract

A thin circular disk translates slowly in its own plane transverse to the axis of rotation of parallel plane boundaries filled with viscous incompressible liquid. It is shown that the indeterminateness of the geostrophic flow is removed by constraints imposed by the dynamics of free shear layers (Stewartson layers), which surround a Taylor column whose boundary is not a stream surface. Fluid particles cross the Taylor column at the expense of deflexion through a finite angle. A comparison is made with the flow past a fat body (Jacobs 1964), where the geostrophic flow is determined without appeal to the dynamics of the shear layers. The problem is also considered for a disk in an unbounded fluid, and it is shown that to leading order there is no disturbance.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1017/S0022112069002497DOIUNSPECIFIED
http://journals.cambridge.org/abstract_S0022112069002497PublisherUNSPECIFIED
Additional Information:© 1969 Cambridge University Press. Received 3 April 1969; Published online 29 March 2006. This work was supported at the University of Southern California by the National Science Foundation under Grant GK-2731.
Funders:
Funding AgencyGrant Number
NSFGK-2731
Record Number:CaltechAUTHORS:20120831-095520706
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120831-095520706
Official Citation: D. W. Moore, P. G. Saffman and T. Maxworthy (1969). The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid. Journal of Fluid Mechanics, 39 , pp 831-847 doi:10.1017/S0022112069002497
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33757
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:31 Aug 2012 17:13
Last Modified:26 Dec 2012 16:05

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