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Non-local dynamics governing the self-induced motion of a planar vortex filament

Abstract:

While the Hasimoto planar vortex filament is one of the few exact solutions to the local induction approximation (LIA) approximating the self-induced motion of a vortex filament, it is natural to wonder whether such a vortex filament solution would exist for the non-local Biot-Savart dynamics exactly governing the filament motion, and if so, whether the non-local effects would drastically modify the solution properties. Both helical vortex filaments and vortex rings are known to exist under ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1063/1.4922171

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Institution:
University of Oxford
Division:
MPLS
Role:
Author
Publisher:
American Institute of Physics
Journal:
Physics of Fluids More from this journal
Publication date:
2015-06-08
Acceptance date:
2015-05-26
DOI:
EISSN:
1089-7666
ISSN:
1070-6631
Keywords:
Pubs id:
pubs:531364
UUID:
uuid:6bbd202f-5ad8-4e12-bec2-5d41436c5175
Local pid:
pubs:531364
Source identifiers:
531364
Deposit date:
2016-04-16

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