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On the flow in an annulus surrounding a whirling cylinder

Published online by Cambridge University Press:  29 March 2006

Christopher Brennen
Christopher Brennen
Affiliation:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 1 , 13 May 1976 , pp. 173 - 191
Copyright
© 1976 Cambridge University Press

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