Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/103675 |
Resumo: | We study the topology and geometry of two-dimensional coarsening foam with an arbitrary liquid fraction. To interpolate between the dry limit described by von Neumann’s law and the wet limit described by Marqusee’s equation, the relevant bubble characteristics are the Plateau border radius and a new variable: the effective number of sides. We propose an equation for the individual bubble growth rate as the weighted sum of the growth through bubble-bubble interfaces and through bubble-Plateau border interfaces. The resulting prediction is successfully tested, without an adjustable parameter, using extensive bidimensional Potts model simulations. The simulations also show that a self-similar growth regime is observed at any liquid fraction, and they also determine how the average size growth exponent, side number distribution, and relative size distribution interpolate between the extreme limits. Applications include concentrated emulsions, grains in polycrystals, and other domains with coarsening that is driven by curvature. |
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Fortuna, IsmaelThomas, Gilberto LimaAlmeida, Rita Maria Cunha deGraner, François2014-09-23T02:12:57Z20120031-9007http://hdl.handle.net/10183/103675000860796We study the topology and geometry of two-dimensional coarsening foam with an arbitrary liquid fraction. To interpolate between the dry limit described by von Neumann’s law and the wet limit described by Marqusee’s equation, the relevant bubble characteristics are the Plateau border radius and a new variable: the effective number of sides. We propose an equation for the individual bubble growth rate as the weighted sum of the growth through bubble-bubble interfaces and through bubble-Plateau border interfaces. The resulting prediction is successfully tested, without an adjustable parameter, using extensive bidimensional Potts model simulations. The simulations also show that a self-similar growth regime is observed at any liquid fraction, and they also determine how the average size growth exponent, side number distribution, and relative size distribution interpolate between the extreme limits. Applications include concentrated emulsions, grains in polycrystals, and other domains with coarsening that is driven by curvature.application/pdfengPhysical review letters. Melville. Vol. 108, no. 24 (June 2012), 248301, 5 p.BolhasModelo de PottsEspumasEmulsoesGrowth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limitsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000860796.pdf000860796.pdfTexto completo (inglês)application/pdf1201123http://www.lume.ufrgs.br/bitstream/10183/103675/1/000860796.pdf4a304aee5a7d65c04be0890f296ba8d2MD51TEXT000860796.pdf.txt000860796.pdf.txtExtracted Texttext/plain20316http://www.lume.ufrgs.br/bitstream/10183/103675/2/000860796.pdf.txt4e84cc239950179700b43e62eca74e84MD52THUMBNAIL000860796.pdf.jpg000860796.pdf.jpgGenerated Thumbnailimage/jpeg2012http://www.lume.ufrgs.br/bitstream/10183/103675/3/000860796.pdf.jpg832921faf7ba71c2890387b2d664db92MD5310183/1036752023-08-11 03:52:05.615453oai:www.lume.ufrgs.br:10183/103675Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-11T06:52:05Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits |
title |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits |
spellingShingle |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits Fortuna, Ismael Bolhas Modelo de Potts Espumas Emulsoes |
title_short |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits |
title_full |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits |
title_fullStr |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits |
title_full_unstemmed |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits |
title_sort |
Growth laws and self-similar growth regimes of coarsening two-dimensional foams : transition from dry to wet limits |
author |
Fortuna, Ismael |
author_facet |
Fortuna, Ismael Thomas, Gilberto Lima Almeida, Rita Maria Cunha de Graner, François |
author_role |
author |
author2 |
Thomas, Gilberto Lima Almeida, Rita Maria Cunha de Graner, François |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Fortuna, Ismael Thomas, Gilberto Lima Almeida, Rita Maria Cunha de Graner, François |
dc.subject.por.fl_str_mv |
Bolhas Modelo de Potts Espumas Emulsoes |
topic |
Bolhas Modelo de Potts Espumas Emulsoes |
description |
We study the topology and geometry of two-dimensional coarsening foam with an arbitrary liquid fraction. To interpolate between the dry limit described by von Neumann’s law and the wet limit described by Marqusee’s equation, the relevant bubble characteristics are the Plateau border radius and a new variable: the effective number of sides. We propose an equation for the individual bubble growth rate as the weighted sum of the growth through bubble-bubble interfaces and through bubble-Plateau border interfaces. The resulting prediction is successfully tested, without an adjustable parameter, using extensive bidimensional Potts model simulations. The simulations also show that a self-similar growth regime is observed at any liquid fraction, and they also determine how the average size growth exponent, side number distribution, and relative size distribution interpolate between the extreme limits. Applications include concentrated emulsions, grains in polycrystals, and other domains with coarsening that is driven by curvature. |
publishDate |
2012 |
dc.date.issued.fl_str_mv |
2012 |
dc.date.accessioned.fl_str_mv |
2014-09-23T02:12:57Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/103675 |
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0031-9007 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000860796 |
identifier_str_mv |
0031-9007 000860796 |
url |
http://hdl.handle.net/10183/103675 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review letters. Melville. Vol. 108, no. 24 (June 2012), 248301, 5 p. |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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