Taylor-Vortex Flow: A Dynamical System
- 1 September 1986
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Review
- Vol. 28 (3) , 315-342
- https://doi.org/10.1137/1028104
Abstract
Taylor-vortex flows have been studied over a period of more than sixty years; they occur between two concentric circular cylinders, for example, when the inner cylinder rotates and the outer is at rest, and the flow takes on a toroidal vortex form with periodicity or quasi-periodicity along the axis. Complex variations on this simple description occur when the angular speed is raised, or when the length of the apparatus is reduced. A rather special form of turbulence can occur, and there may be some relation to chaos in the sense of ordinary differential equations as a dynamical system. The experimental and theoretical evidence concerned with these phenomena is discussed.Keywords
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