Polygonal instabilities on interfacial vorticities

We report the results of a theoretical investigation of the stability of a toroidal vortex bound by an interface. Two distinct instability mechanisms are identified that rely on, respectively, surface tension and fluid inertia, either of which may prompt the transformation from a circular to a polyg...

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Main Authors: Labousse, M., Bush, John W. M.
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer-Verlag 2016
Online Access:http://hdl.handle.net/1721.1/105347
https://orcid.org/0000-0002-7936-7256
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author Labousse, M.
Bush, John W. M.
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Labousse, M.
Bush, John W. M.
author_sort Labousse, M.
collection MIT
description We report the results of a theoretical investigation of the stability of a toroidal vortex bound by an interface. Two distinct instability mechanisms are identified that rely on, respectively, surface tension and fluid inertia, either of which may prompt the transformation from a circular to a polygonal torus. Our results are discussed.
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spelling mit-1721.1/1053472022-09-30T10:23:02Z Polygonal instabilities on interfacial vorticities Labousse, M. Bush, John W. M. Massachusetts Institute of Technology. Department of Mathematics Bush, John Bush, John W. M. We report the results of a theoretical investigation of the stability of a toroidal vortex bound by an interface. Two distinct instability mechanisms are identified that rely on, respectively, surface tension and fluid inertia, either of which may prompt the transformation from a circular to a polygonal torus. Our results are discussed. National Science Foundation (U.S.) (Grant DMS-0907955) 2016-11-17T22:54:32Z 2016-11-17T22:54:32Z 2015-10 2015-09 Article http://purl.org/eprint/type/JournalArticle 1292-8941 1292-895X http://hdl.handle.net/1721.1/105347 Labousse, M., and J. W. M. Bush. “Polygonal Instabilities on Interfacial Vorticities.” The European Physical Journal E 38.10 (2015): n. pag. https://orcid.org/0000-0002-7936-7256 en_US http://dx.doi.org/10.1140/epje/i2015-15113-5 The European Physical Journal E Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer-Verlag Prof. Bush via Michael Noga
spellingShingle Labousse, M.
Bush, John W. M.
Polygonal instabilities on interfacial vorticities
title Polygonal instabilities on interfacial vorticities
title_full Polygonal instabilities on interfacial vorticities
title_fullStr Polygonal instabilities on interfacial vorticities
title_full_unstemmed Polygonal instabilities on interfacial vorticities
title_short Polygonal instabilities on interfacial vorticities
title_sort polygonal instabilities on interfacial vorticities
url http://hdl.handle.net/1721.1/105347
https://orcid.org/0000-0002-7936-7256
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