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Axisymmetric vortex breakdown Part 2. Physical mechanisms

Published online by Cambridge University Press:  26 April 2006

G. L. Brown  and
J. M. Lopez
G. L. Brown
Affiliation:
Aeronautical Research Laboratory, P.O. Box 4331, Melbourne, Vic., 3001. Australia
J. M. Lopez
Affiliation:
Aeronautical Research Laboratory, P.O. Box 4331, Melbourne, Vic., 3001. Australia
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Abstract

The physical mechanisms for vortex breakdown which, it is proposed here, rely on the production of a negative azimuthal component of vorticity, are elucidated with the aid of a simple, steady, inviscid, axisymmetric equation of motion. Most studies of vortex breakdown use as a starting point an equation for the azimuthal vorticity (Squire 1960), but a departure in the present study is that it is explored directly and not through perturbations of an initial stream function. The inviscid equation of motion that is derived leads to a criterion for vortex breakdown based on the generation of negative azimuthal vorticity on some stream surfaces. Inviscid predictions are tested against results from numerical calculations of the Navier-Stokes equations for which breakdown occurs.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 221 , December 1990 , pp. 553 - 576
Copyright
© 1990 Cambridge University Press

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