The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices

19 pages, 3 figures, appendixes.-- Data availability: No data was used for the research described in the article

Detalles Bibliográficos
Autor: Viúdez, Álvaro
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/361110
Acceso en línea:http://hdl.handle.net/10261/361110
Access Level:acceso abierto
Palabra clave:Angular momentum
Exact solutions
Non-linear vorticity equation
Multipolar spherical vortices
Multipolar cylindrical vortices
Spherical wave packets
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spelling The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vorticesViúdez, ÁlvaroAngular momentumExact solutionsNon-linear vorticity equationMultipolar spherical vorticesMultipolar cylindrical vorticesSpherical wave packets19 pages, 3 figures, appendixes.-- Data availability: No data was used for the research described in the articleThe time-dependent acceleration of fluid particles in an arbitrary superposition of multipolar spherical and cylindrical vortices in presence of a background rotational rigid flow is the gradient of the difference between their kinetic energy and the product of their total axial angular momentum times the angular velocity of the background flow. If the potential energy is defined as the time-dependent field whose minus gradient equals the acceleration of the flow, then the total energy, defined as the sum of kinetic and potential energies, equals the total axial angular momentum times the angular velocity of the background flow. The total energy of a fluid particle has therefore a linear relationship with the azimuthal velocity field. The role of the axial angular momentum in these oscillating flows is explained also in the classical Lagrangian and Hamiltonian descriptions of motion. The linear relation between total energy and angular momentum makes possible that the free parameters of these flows may be obtained, in a way similar to that developed in the quantum mechanics description of motion, as the eigenvalues of linear operators acting on some components of the spherical modes. Beltrami flow solutions in prolate spheroidal geometry for axisymmetric flows are also discussedPartial support for this study was obtained through project RT12018-100844-B-C33 (Spanish Ministry of Science, Innovation and Universities). I acknowledge the ‘Severo Ochoa Centre of Excellence ’ accreditation (CEX2019-000928-S)Peer reviewedElsevierMinisterio de Ciencia, Innovación y Universidades (España)Agencia Estatal de Investigación (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202420242024info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://hdl.handle.net/10261/361110reponame: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/10.1016/j.ijnonlinmec.2024.104796Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/3611102026-05-22T06:33:51Z
dc.title.none.fl_str_mv The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices
title The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices
spellingShingle The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices
Viúdez, Álvaro
Angular momentum
Exact solutions
Non-linear vorticity equation
Multipolar spherical vortices
Multipolar cylindrical vortices
Spherical wave packets
title_short The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices
title_full The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices
title_fullStr The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices
title_full_unstemmed The role of axial angular momentum in exact non-linear solutions of multipolar spherical and cylindrical vortices
title_sort The role of axial angular momentum in exact non-linear solutions of 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 Angular momentum
Exact solutions
Non-linear vorticity equation
Multipolar spherical vortices
Multipolar cylindrical vortices
Spherical wave packets
topic Angular momentum
Exact solutions
Non-linear vorticity equation
Multipolar spherical vortices
Multipolar cylindrical vortices
Spherical wave packets
description 19 pages, 3 figures, appendixes.-- Data availability: No data was used for the research described in the article
publishDate 2024
dc.date.none.fl_str_mv 2024
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/361110
url http://hdl.handle.net/10261/361110
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/10.1016/j.ijnonlinmec.2024.104796
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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