Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers

We make a numerical study of the effect that spatial perturbations have in normal Saffman-Taylor fingers driven at constant pressure gradients. We use a phase field model that allows for spatial variations in the Hele-Shaw cell. We find that, regardless of the specific way in which spatial perturbat...

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Autores: Quevedo-Reyes, M., Hernández Machado, Aurora, Corvera Poiré, Eugenia
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/18759
Acceso en línea:https://hdl.handle.net/2445/18759
Access Level:acceso abierto
Palabra clave:Física estadística
Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Fluid dynamics
Perturbation (Quantum dynamics)
Thermodynamics
Differentiable dynamical systems
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repository_id_str
spelling Phase-field approach to spatial perturbations in normal Saffman-Taylor fingersQuevedo-Reyes, M.Hernández Machado, AuroraCorvera Poiré, EugeniaFísica estadísticaDinàmica de fluidsPertorbació (Dinàmica quàntica)TermodinàmicaSistemes dinàmics diferenciablesStatistical physicsFluid dynamicsPerturbation (Quantum dynamics)ThermodynamicsDifferentiable dynamical systemsWe make a numerical study of the effect that spatial perturbations have in normal Saffman-Taylor fingers driven at constant pressure gradients. We use a phase field model that allows for spatial variations in the Hele-Shaw cell. We find that, regardless of the specific way in which spatial perturbations are introduced, a lateral instability develops on the sides of the propagating Saffman-Taylor finger. Moreover, the instability exists regardless of the intensity of spatial perturbations in the cell as long as the perturbations are felt by the finger tip. If, as the finger propagates, the spatial perturbations felt by the tip change, the instability is nonperiodic. If, as the finger propagates, the spatial perturbations felt by the tip are persistent, the instability developed is periodic. In the later case, the instability is symmetrical or asymmetrical depending on the intensity of the perturbation.The American Physical Society201120112006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion8 p.application/pdfhttps://hdl.handle.net/2445/18759Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.73.066308Physical Review E, 2006, vol. 73, p. 066308-1-066308-8http://dx.doi.org/10.1103/PhysRevE.73.066308(c) The American Physical Society, 2006info:eu-repo/semantics/openAccessoai:recercat.cat:2445/187592026-05-29T05:05:01Z
dc.title.none.fl_str_mv Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
title Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
spellingShingle Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
Quevedo-Reyes, M.
Física estadística
Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Fluid dynamics
Perturbation (Quantum dynamics)
Thermodynamics
Differentiable dynamical systems
title_short Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
title_full Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
title_fullStr Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
title_full_unstemmed Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
title_sort Phase-field approach to spatial perturbations in normal Saffman-Taylor fingers
dc.creator.none.fl_str_mv Quevedo-Reyes, M.
Hernández Machado, Aurora
Corvera Poiré, Eugenia
author Quevedo-Reyes, M.
author_facet Quevedo-Reyes, M.
Hernández Machado, Aurora
Corvera Poiré, Eugenia
author_role author
author2 Hernández Machado, Aurora
Corvera Poiré, Eugenia
author2_role author
author
dc.subject.none.fl_str_mv Física estadística
Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Fluid dynamics
Perturbation (Quantum dynamics)
Thermodynamics
Differentiable dynamical systems
topic Física estadística
Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Termodinàmica
Sistemes dinàmics diferenciables
Statistical physics
Fluid dynamics
Perturbation (Quantum dynamics)
Thermodynamics
Differentiable dynamical systems
description We make a numerical study of the effect that spatial perturbations have in normal Saffman-Taylor fingers driven at constant pressure gradients. We use a phase field model that allows for spatial variations in the Hele-Shaw cell. We find that, regardless of the specific way in which spatial perturbations are introduced, a lateral instability develops on the sides of the propagating Saffman-Taylor finger. Moreover, the instability exists regardless of the intensity of spatial perturbations in the cell as long as the perturbations are felt by the finger tip. If, as the finger propagates, the spatial perturbations felt by the tip change, the instability is nonperiodic. If, as the finger propagates, the spatial perturbations felt by the tip are persistent, the instability developed is periodic. In the later case, the instability is symmetrical or asymmetrical depending on the intensity of the perturbation.
publishDate 2006
dc.date.none.fl_str_mv 2006
2011
2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/18759
url https://hdl.handle.net/2445/18759
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.73.066308
Physical Review E, 2006, vol. 73, p. 066308-1-066308-8
http://dx.doi.org/10.1103/PhysRevE.73.066308
dc.rights.none.fl_str_mv (c) The American Physical Society, 2006
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2006
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 8 p.
application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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