Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls

We investigate the linear stability threshold of a dielectric liquid subjected to unipolar injection in a 2D rectangular enclosure with rigid boundaries. A finite element formulation transforms the set of linear partial differential equations that governs the system into a set of algebraic equations...

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Autores: Pérez Izquierdo, Alberto Tomás, Vázquez González, Pedro Ángel, Wu, Jiam, Traoré, Philippe
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/76767
Acceso en línea:https://hdl.handle.net/11441/76767
https://doi.org/10.1017/jfm.2014.537P
Access Level:acceso abierto
Palabra clave:Electrohydrodynamics
Unipolar injection
Linear instabilit
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spelling Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewallsPérez Izquierdo, Alberto TomásVázquez González, Pedro ÁngelWu, JiamTraoré, PhilippeElectrohydrodynamicsUnipolar injectionLinear instabilitWe investigate the linear stability threshold of a dielectric liquid subjected to unipolar injection in a 2D rectangular enclosure with rigid boundaries. A finite element formulation transforms the set of linear partial differential equations that governs the system into a set of algebraic equations. The resulting system poses an eigenvalue problem. We calculate the linear stability threshold, as well as the velocity field and charge density distribution, as a function of the aspect ratio of the domain. The stability parameter as a function of the aspect ratio describes paths of symmetry-breaking bifurcation. The symmetry properties of the different linear modes determine whether these paths cross each other or not. The resulting structure has important consequences in the non-linear behavior of the system after the bifurcation points.Ministerio de ciencia y tecnología FIS2011-25161Junta de Andalucía P10-FQM-5735Junta de Andalucía P09-FQM-4584Cambridge University PressFísica Aplicada IIIElectrónica y Electromagnetismo2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/76767https://doi.org/10.1017/jfm.2014.537Preponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Fluid Mechanics, 758, 586-602.FIS2011-25161P10-FQM-5735P09-FQM-4584https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/electrohydrodynamic-linear-stability-analysis-of-dielectric-liquids-subjected-to-unipolar-injection-in-a-rectangular-enclosure-with-rigid-sidewalls/7D72E51772C73A809FEB3CDDA26CFC4Dinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/767672026-06-17T12:51:07Z
dc.title.none.fl_str_mv Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
title Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
spellingShingle Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
Pérez Izquierdo, Alberto Tomás
Electrohydrodynamics
Unipolar injection
Linear instabilit
title_short Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
title_full Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
title_fullStr Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
title_full_unstemmed Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
title_sort Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls
dc.creator.none.fl_str_mv Pérez Izquierdo, Alberto Tomás
Vázquez González, Pedro Ángel
Wu, Jiam
Traoré, Philippe
author Pérez Izquierdo, Alberto Tomás
author_facet Pérez Izquierdo, Alberto Tomás
Vázquez González, Pedro Ángel
Wu, Jiam
Traoré, Philippe
author_role author
author2 Vázquez González, Pedro Ángel
Wu, Jiam
Traoré, Philippe
author2_role author
author
author
dc.contributor.none.fl_str_mv Física Aplicada III
Electrónica y Electromagnetismo
dc.subject.none.fl_str_mv Electrohydrodynamics
Unipolar injection
Linear instabilit
topic Electrohydrodynamics
Unipolar injection
Linear instabilit
description We investigate the linear stability threshold of a dielectric liquid subjected to unipolar injection in a 2D rectangular enclosure with rigid boundaries. A finite element formulation transforms the set of linear partial differential equations that governs the system into a set of algebraic equations. The resulting system poses an eigenvalue problem. We calculate the linear stability threshold, as well as the velocity field and charge density distribution, as a function of the aspect ratio of the domain. The stability parameter as a function of the aspect ratio describes paths of symmetry-breaking bifurcation. The symmetry properties of the different linear modes determine whether these paths cross each other or not. The resulting structure has important consequences in the non-linear behavior of the system after the bifurcation points.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/76767
https://doi.org/10.1017/jfm.2014.537P
url https://hdl.handle.net/11441/76767
https://doi.org/10.1017/jfm.2014.537P
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Fluid Mechanics, 758, 586-602.
FIS2011-25161
P10-FQM-5735
P09-FQM-4584
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/electrohydrodynamic-linear-stability-analysis-of-dielectric-liquids-subjected-to-unipolar-injection-in-a-rectangular-enclosure-with-rigid-sidewalls/7D72E51772C73A809FEB3CDDA26CFC4D
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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