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Axisymmetric vortex breakdown. Part 3 Onset of periodic flow and chaotic advection

Published online by Cambridge University Press:  26 April 2006

J. M. Lopez  and
A. D. Perry
J. M. Lopez
Affiliation:
Aeronautical Research Laboratory, 506 Lorimer Street, Fishermens Bend, Victoria 3207, Australia
A. D. Perry
Affiliation:
Aeronautical Research Laboratory, 506 Lorimer Street, Fishermens Bend, Victoria 3207, Australia Present address: Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125, USA.
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Abstract

When the fluid inside a completely filled cylinder is set in motion by the rotation of one endwall, steady and unsteady axisymmetric vortex breakdown is possible. Nonlinear dynamical systems theory is used to describe the changing kinematics of the flow as the speed of the rotating endwall is increased. Two distinct modes of oscillation have been found in the unsteady regime and the chaotic advection caused by the oscillations has been investigated. The results of this study are used to describe the filling and emptying processes of the vortex breakdown bubbles observed in flow visualization experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 234 , January 1992 , pp. 449 - 471
Copyright
© 1992 Cambridge University Press

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