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Energy stability for the flow between rotating, coaxial disks

Published online by Cambridge University Press:  14 November 2011

Alan R. Elcrat
Alan R. Elcrat
Affiliation:
2825 West 17th, Wichita, Kansas 67203, U.S.A.
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Synopsis

A stability condition is derived for solutions of the Von Kárman-Batchelor equations for the flow of a viscous, incompressible fluid between rotating, coaxial (infinite) disks. The rigid motion solution which arises when the angular velocities of the disks are equal is stable with respect to perturbations which go to zero sufficiently rapidly at infinity, for all values of the Reynolds number. If the angular velocities are sufficiently close the stability condition derived applies to perturbations whose “deformation energy” is sufficiently confined to a “core” region.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 3-4 , 1979 , pp. 255 - 261
Copyright
Copyright © Royal Society of Edinburgh 1979

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