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BY-NC-ND 3.0 license Open Access Published by De Gruyter June 2, 2014

On Rayleigh’s Stability Criterion for Couette Flow

  • D. Lortz

Abstract

The stability problem of a stationary circular flow of an ideal fluid between two coaxial cylinders is considered. It is shown that Rayleigh's circulation criterion is necessary and sufficient for the total kinetic energy of an axisymmetric disturbance to be bounded in time.

Received: 1993-3-12
Published Online: 2014-6-2
Published in Print: 1993-6-1

© 1946 – 2014: Verlag der Zeitschrift für Naturforschung

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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