Multipolar spherical and cylindrical vortices

29 pages, 8 figures, 4 appendixes, supplementary materials https://doi.org/10.1017/jfm.2022.73

Detalles Bibliográficos
Autor: Viúdez, Álvaro
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/260294
Acceso en línea:http://hdl.handle.net/10261/260294
Access Level:acceso abierto
Palabra clave:Vortex flows
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spelling Multipolar spherical and cylindrical vorticesViúdez, ÁlvaroVortex flows29 pages, 8 figures, 4 appendixes, supplementary materials https://doi.org/10.1017/jfm.2022.73Multipolar spherical solutions to the three-dimensional steady vorticity equation are provided. These solutions are based on the separation of radial and angular contributions in terms of the spherical Bessel functions and vector spherical harmonics, respectively. In this set of multipolar vortex solutions, the Hicks–Moffatt swirling vortex is categorized as a vortex of degree ℓ=1 and therefore as a vortex dipole. This swirling vortex is the three-dimensional dipole in spherical geometry equivalent to the two-dimensional Lamb–Chaplygin dipole in polar geometry. The three-dimensional dipole solution admits two linearly superposable solutions. The first one is a Trkalian flow and the second one is a cylindrical solid-body rotation with swirl. The higher ℓ>1 multipolar vortices found are either vanishing-helicity vortices or Trkalian flow vortices. The multipolar Trkalian flows admit two circular polarizations given by the sign of the wavenumber k. It is also found that piecewise vortex solutions, consisting of interior rotational and exterior potential flow domains, satisfying velocity continuity conditions at the vortex boundary, are possible in the general multipolar Trkalian spherical vortex. A particular polarized dipole solution in three-dimensional cylindrical geometry, consisting as well in the superposition of a Trkalian flow and a rigid motion, is also analysed. This swirling vortex may be interpreted as the three-dimensional dipole in cylindrical geometry equivalent to the two-dimensional Lamb–Chaplygin dipole in polar geometryPartial support for this study was obtained through project RTI2018-100844-B-C33 (Spanish Ministry of Science, Innovation and Universities). I acknowledge the ‘Severo Ochoa Centre of Excellence’ accreditation (CEX2019-000928-S)Peer reviewedCambridge University PressMinisterio de Ciencia, Innovación y Universidades (España)Agencia Estatal de Investigación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202220222022info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10261/260294reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-100844-B-C33https://doi.org/10.1017/jfm.2022.73Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2602942026-05-22T06:33:51Z
dc.title.none.fl_str_mv Multipolar spherical and cylindrical vortices
title Multipolar spherical and cylindrical vortices
spellingShingle Multipolar spherical and cylindrical vortices
Viúdez, Álvaro
Vortex flows
title_short Multipolar spherical and cylindrical vortices
title_full Multipolar spherical and cylindrical vortices
title_fullStr Multipolar spherical and cylindrical vortices
title_full_unstemmed Multipolar spherical and cylindrical vortices
title_sort Multipolar spherical and cylindrical vortices
dc.creator.none.fl_str_mv Viúdez, Álvaro
author Viúdez, Álvaro
author_facet Viúdez, Álvaro
author_role author
dc.contributor.none.fl_str_mv Ministerio de Ciencia, Innovación y Universidades (España)
Agencia Estatal de Investigación (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Vortex flows
topic Vortex flows
description 29 pages, 8 figures, 4 appendixes, supplementary materials https://doi.org/10.1017/jfm.2022.73
publishDate 2022
dc.date.none.fl_str_mv 2022
2022
2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/260294
url http://hdl.handle.net/10261/260294
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/RTI2018-100844-B-C33
https://doi.org/10.1017/jfm.2022.73
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
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