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Physica D Nonlinear Phenomena
Article . 2008 . Peer-reviewed
License: Elsevier TDM
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Article . 2008
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https://dx.doi.org/10.48550/ar...
Article . 2008
License: arXiv Non-Exclusive Distribution
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A coaxial vortex ring model for vortex breakdown

Authors: Blackmore, Denis; Brøns, Morten; Goullet, Arnaud;

A coaxial vortex ring model for vortex breakdown

Abstract

A simple - yet plausible - model for B-type vortex breakdown flows is postulated; one that is based on the immersion of a pair of slender coaxial vortex rings in a swirling flow of an ideal fluid rotating around the axis of symmetry of the rings. It is shown that this model exhibits in the advection of passive fluid particles (kinematics) just about all of the characteristics that have been observed in what is now a substantial body of published research on the phenomenon of vortex breakdown. Moreover, it is demonstrated how the very nature of the fluid dynamics in axisymmetric breakdown flows can be predicted and controlled by the choice of the initial ring configurations and their vortex strengths. The dynamic intricacies produced by the two ring + swirl model are illustrated with several numerical experiments.

40 pages, 9 figures, submitted to Physica D

Keywords

Melnikov function, advection, FOS: Physical sciences, General theory of rotating fluids, Shilnikov chaos, Dynamical Systems (math.DS), Mathematical Physics (math-ph), Vortex flows for incompressible inviscid fluids, swirl, 37J20, Dynamical systems in fluid mechanics, oceanography and meteorology, 37J20; 37J25, 37J25, FOS: Mathematics, Mathematics - Dynamical Systems, Poincaré map, Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
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bronze
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