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On the Flow in an Annulus Surrounding a Whirling Cylinder

Brennen, Christopher (1976) On the Flow in an Annulus Surrounding a Whirling Cylinder. Journal of Fluid Mechanics, 75 (1). pp. 173-191. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:BREjfm76

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Abstract

When fluid in an annulus between two cylinders is set in motion by whirling movements of one or both of the cylinders, dynamic forces are imposed by the fluid on the cylinders. Knowledge of these forces is frequently important, indeed often critical, to the engineer designing rotor systems or journal bearings. Quite general solutions of the Navier-Stokes equations are presented for this problem and are limited only by restrictions on the amplitude of the whirl motion. From these solutions, the forces are derived under a wide variety of circumstances, including large and small annular widths, high and low Reynolds numbers and with and without a mean flow created by additional net rotation of one or both of the cylinders.


Item Type:Article
Additional Information:The author wishes to thank Mr Clark Boster of the Byron-Jackson Pump Division, Borg-Warner Corporation, who brought the author's attention to the problem, and Professor Allan J. Acosta for valuable discussions on the subject matter. He would also like to acknowledge the partial support from the Office of Naval Research under Contract N00014-76-C-0157 and from NASA under contract NAS 8-28046 during the preparation of the manuscript. "Reprinted with the permission of Cambridge University Press."
Record Number:CaltechAUTHORS:BREjfm76
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BREjfm76
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:57
Collection:CaltechAUTHORS
Deposited By: Christopher Brennen
Deposited On:25 Aug 2004
Last Modified:26 Dec 2012 08:39

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