Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders

We perform a theoretical and numerical study of the Coulomb-driven electroconvection flow of a dielectric liquid between two coaxial cylinders. The specific case where the inner to outer diameter ratio is 0.5 is analyzed. A strong unipolar injection of ions either from the inner or outer cylinder is...

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Autores: Wu, Jiam, Vázquez González, Pedro Ángel, Traoré, Philippe, Pérez Izquierdo, Alberto Tomás
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:11441/76771
Acceso en línea:https://hdl.handle.net/11441/76771
https://doi.org/10.1063/1.4903284
Access Level:acceso abierto
Palabra clave:Electroconvection
Stability analysis
Charge injection
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spelling Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylindersWu, JiamVázquez González, Pedro ÁngelTraoré, PhilippePérez Izquierdo, Alberto TomásElectroconvectionStability analysisCharge injectionWe perform a theoretical and numerical study of the Coulomb-driven electroconvection flow of a dielectric liquid between two coaxial cylinders. The specific case where the inner to outer diameter ratio is 0.5 is analyzed. A strong unipolar injection of ions either from the inner or outer cylinder is considered to introduce free charger carriers into the system. A finite volume method is used to solve all governing equations including Navier-Stokes equations and a simplified set of Maxwell’s equations. The flow is characterized by a subcritical bifurcation in the finite amplitude regime. A linear stability criterion and a nonlinear one that correspond to the onset and stop of the flow motion, respectively, are linked with a hysteresis loop. In addition, we also explore the behavior of the system for higher values of the stability parameter. For inner injection, we observe a transition between the patterns made of 7 and 8 pairs of cells, before an oscillatory regime is attained. Such a transition leads to a second finite amplitude stability criterion. A simple modal analysis reveals that the competition of different modes is at the origin of this behavior. The charge density as well as velocity field distributions are provided to help understanding the bifurcation behavior.Ministerio de ciencia y tecnología FIS2011-25161Junta de Andalucía P10-FQM-5735Junta de Andalucía P09-FQM-4584AIP PublishingFísica Aplicada IIIElectrónica y Electromagnetismo2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/76771https://doi.org/10.1063/1.4903284reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésPhysics of Fluids, 26 (124105), 124105-1-124105-15.FIS2011-25161P10-FQM-5735P09-FQM-4584https://aip.scitation.org/doi/10.1063/1.4903284info:eu-repo/semantics/openAccessoai:idus.us.es:11441/767712026-06-17T12:51:07Z
dc.title.none.fl_str_mv Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
title Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
spellingShingle Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
Wu, Jiam
Electroconvection
Stability analysis
Charge injection
title_short Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
title_full Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
title_fullStr Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
title_full_unstemmed Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
title_sort Finite amplitude electroconvection induced by strong unipolar injection between two coaxial cylinders
dc.creator.none.fl_str_mv Wu, Jiam
Vázquez González, Pedro Ángel
Traoré, Philippe
Pérez Izquierdo, Alberto Tomás
author Wu, Jiam
author_facet Wu, Jiam
Vázquez González, Pedro Ángel
Traoré, Philippe
Pérez Izquierdo, Alberto Tomás
author_role author
author2 Vázquez González, Pedro Ángel
Traoré, Philippe
Pérez Izquierdo, Alberto Tomás
author2_role author
author
author
dc.contributor.none.fl_str_mv Física Aplicada III
Electrónica y Electromagnetismo
dc.subject.none.fl_str_mv Electroconvection
Stability analysis
Charge injection
topic Electroconvection
Stability analysis
Charge injection
description We perform a theoretical and numerical study of the Coulomb-driven electroconvection flow of a dielectric liquid between two coaxial cylinders. The specific case where the inner to outer diameter ratio is 0.5 is analyzed. A strong unipolar injection of ions either from the inner or outer cylinder is considered to introduce free charger carriers into the system. A finite volume method is used to solve all governing equations including Navier-Stokes equations and a simplified set of Maxwell’s equations. The flow is characterized by a subcritical bifurcation in the finite amplitude regime. A linear stability criterion and a nonlinear one that correspond to the onset and stop of the flow motion, respectively, are linked with a hysteresis loop. In addition, we also explore the behavior of the system for higher values of the stability parameter. For inner injection, we observe a transition between the patterns made of 7 and 8 pairs of cells, before an oscillatory regime is attained. Such a transition leads to a second finite amplitude stability criterion. A simple modal analysis reveals that the competition of different modes is at the origin of this behavior. The charge density as well as velocity field distributions are provided to help understanding the bifurcation behavior.
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/11441/76771
https://doi.org/10.1063/1.4903284
url https://hdl.handle.net/11441/76771
https://doi.org/10.1063/1.4903284
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Physics of Fluids, 26 (124105), 124105-1-124105-15.
FIS2011-25161
P10-FQM-5735
P09-FQM-4584
https://aip.scitation.org/doi/10.1063/1.4903284
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 AIP Publishing
publisher.none.fl_str_mv AIP Publishing
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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