Nonlinear Saffman-Taylor instability

We show, both theoretically and experimentally, that the interface between two viscous fluids in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor linear instability point is reached. We identify the family of exact elastica solutions [Nye et al., Eur. J. Phys. 5, 73 (1984)] as...

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Detalles Bibliográficos
Autores: Alvarez Lacalle, Enrique, Ortín, Jordi, 1959-, Casademunt i Viader, Jaume
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
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:2445/12831
Acceso en línea:https://hdl.handle.net/2445/12831
Access Level:acceso abierto
Palabra clave:Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Fluid dynamics
Perturbation (Quantum dynamics)
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spelling Nonlinear Saffman-Taylor instabilityAlvarez Lacalle, EnriqueOrtín, Jordi, 1959-Casademunt i Viader, JaumeDinàmica de fluidsPertorbació (Dinàmica quàntica)Fluid dynamicsPerturbation (Quantum dynamics)We show, both theoretically and experimentally, that the interface between two viscous fluids in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor linear instability point is reached. We identify the family of exact elastica solutions [Nye et al., Eur. J. Phys. 5, 73 (1984)] as the unstable branch of the corresponding subcritical bifurcation which ends up at a topological singularity defined by interface pinchoff. We devise an experimental procedure to prepare arbitrary initial conditions in a Hele-Shaw cell. This is used to test the proposed bifurcation scenario and quantitatively asses its practical relevance.American Physical Society201020102004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion4 p.application/pdfhttps://hdl.handle.net/2445/12831Articles 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 digital del document proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevLett.92.054501Physical Review Letters, 2004, vol. 92, núm. 5, p. 054501-1-054501-4http://dx.doi.org/10.1103/PhysRevLett.92.054501(c) American Physical Society, 2004info:eu-repo/semantics/openAccessoai:recercat.cat:2445/128312026-05-29T05:05:01Z
dc.title.none.fl_str_mv Nonlinear Saffman-Taylor instability
title Nonlinear Saffman-Taylor instability
spellingShingle Nonlinear Saffman-Taylor instability
Alvarez Lacalle, Enrique
Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Fluid dynamics
Perturbation (Quantum dynamics)
title_short Nonlinear Saffman-Taylor instability
title_full Nonlinear Saffman-Taylor instability
title_fullStr Nonlinear Saffman-Taylor instability
title_full_unstemmed Nonlinear Saffman-Taylor instability
title_sort Nonlinear Saffman-Taylor instability
dc.creator.none.fl_str_mv Alvarez Lacalle, Enrique
Ortín, Jordi, 1959-
Casademunt i Viader, Jaume
author Alvarez Lacalle, Enrique
author_facet Alvarez Lacalle, Enrique
Ortín, Jordi, 1959-
Casademunt i Viader, Jaume
author_role author
author2 Ortín, Jordi, 1959-
Casademunt i Viader, Jaume
author2_role author
author
dc.subject.none.fl_str_mv Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Fluid dynamics
Perturbation (Quantum dynamics)
topic Dinàmica de fluids
Pertorbació (Dinàmica quàntica)
Fluid dynamics
Perturbation (Quantum dynamics)
description We show, both theoretically and experimentally, that the interface between two viscous fluids in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor linear instability point is reached. We identify the family of exact elastica solutions [Nye et al., Eur. J. Phys. 5, 73 (1984)] as the unstable branch of the corresponding subcritical bifurcation which ends up at a topological singularity defined by interface pinchoff. We devise an experimental procedure to prepare arbitrary initial conditions in a Hele-Shaw cell. This is used to test the proposed bifurcation scenario and quantitatively asses its practical relevance.
publishDate 2004
dc.date.none.fl_str_mv 2004
2010
2010
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/2445/12831
url https://hdl.handle.net/2445/12831
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevLett.92.054501
Physical Review Letters, 2004, vol. 92, núm. 5, p. 054501-1-054501-4
http://dx.doi.org/10.1103/PhysRevLett.92.054501
dc.rights.none.fl_str_mv (c) American Physical Society, 2004
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) American Physical Society, 2004
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 4 p.
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv 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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score 15,812455

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