The spatial structure of bubble pinch-off

We have previously found [J. Eggers, M. A. Fontelos, D. Leppinen, and J. H. Snoeijer, Phys. Rev. Lett. , 98 (2007), 094502] that the pinch-off of a gas bubble in an inviscid environment iscontrolled by scaling exponents which are slowly varying in time. To leading order, these results didnot require...

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Detalhes bibliográficos
Autores: Fontelos, M. A., Snoeijer, J. H., Eggers, J.
Formato: artículo
Fecha de publicación:2011
País:España
Recursos:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/669455
Acesso em linha:http://hdl.handle.net/10486/669455
https://dx.doi.org/10.1137/090776470
Access Level:acceso abierto
Palavra-chave:Capillary breakup
Finite-time singularities
Matemáticas
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spelling The spatial structure of bubble pinch-offFontelos, M. A.Snoeijer, J. H.Eggers, J.Capillary breakupFinite-time singularitiesMatemáticasWe have previously found [J. Eggers, M. A. Fontelos, D. Leppinen, and J. H. Snoeijer, Phys. Rev. Lett. , 98 (2007), 094502] that the pinch-off of a gas bubble in an inviscid environment iscontrolled by scaling exponents which are slowly varying in time. To leading order, these results didnot require the spatial profile of the interface near break-up. Here we refine our previous analysis bycomputing the entire shape of the neck. The neck shape is characterized by similarity functions thatare also slowly varying on a logarithmic scale. We compare these results to experiments and findagreement within the experimentally accessible range. More detailed confirmation of the asymptoticanalysis is provided by the excellent agreement with numerical simulations of the bubble pinch-offThis author’s work was supported by a Marie Curie European Fellowship FP6 (MEIF-CT2006-025104).Society for Industrial and Applied MathematicsDepartamento de MatemáticasFacultad de Ciencias20112011-09-22research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/669455https://dx.doi.org/10.1137/090776470reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/6694552026-06-23T12:46:27Z
dc.title.none.fl_str_mv The spatial structure of bubble pinch-off
title The spatial structure of bubble pinch-off
spellingShingle The spatial structure of bubble pinch-off
Fontelos, M. A.
Capillary breakup
Finite-time singularities
Matemáticas
title_short The spatial structure of bubble pinch-off
title_full The spatial structure of bubble pinch-off
title_fullStr The spatial structure of bubble pinch-off
title_full_unstemmed The spatial structure of bubble pinch-off
title_sort The spatial structure of bubble pinch-off
dc.creator.none.fl_str_mv Fontelos, M. A.
Snoeijer, J. H.
Eggers, J.
author Fontelos, M. A.
author_facet Fontelos, M. A.
Snoeijer, J. H.
Eggers, J.
author_role author
author2 Snoeijer, J. H.
Eggers, J.
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv Capillary breakup
Finite-time singularities
Matemáticas
topic Capillary breakup
Finite-time singularities
Matemáticas
description We have previously found [J. Eggers, M. A. Fontelos, D. Leppinen, and J. H. Snoeijer, Phys. Rev. Lett. , 98 (2007), 094502] that the pinch-off of a gas bubble in an inviscid environment iscontrolled by scaling exponents which are slowly varying in time. To leading order, these results didnot require the spatial profile of the interface near break-up. Here we refine our previous analysis bycomputing the entire shape of the neck. The neck shape is characterized by similarity functions thatare also slowly varying on a logarithmic scale. We compare these results to experiments and findagreement within the experimentally accessible range. More detailed confirmation of the asymptoticanalysis is provided by the excellent agreement with numerical simulations of the bubble pinch-off
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-09-22
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/669455
https://dx.doi.org/10.1137/090776470
url http://hdl.handle.net/10486/669455
https://dx.doi.org/10.1137/090776470
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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