Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem
Autor(a) principal: | |
---|---|
Data de Publicação: | 1997 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/103641 |
Resumo: | It is well known, that the dynamics of small particles moving in a viscous fluid is strongly influenced by the long-range hydrodynamical interaction between them. Motion at high viscosity is usually treated by means of the Stokes equations, which are linear and instantaneous. Nevertheless, the hydrodynamical interaction mediated by the liquid is nonlinear; therefore the dynamics of more than two particles can be rather complex. Here we present a high resolution numerical analysis of the classical three-particle Stokeslet problem in a vertical plane. We show that a chaotic saddle in the phase space is responsible for the extreme sensitivity to initial configurations, which has been mentioned several times in the literature without an explanation. A detailed analysis of the transiently chaotic dynamics and the underlying fractal patterns is given. |
id |
UFRGS-2_ab5e12f19d7d55566148370973aed5e3 |
---|---|
oai_identifier_str |
oai:www.lume.ufrgs.br:10183/103641 |
network_acronym_str |
UFRGS-2 |
network_name_str |
Repositório Institucional da UFRGS |
repository_id_str |
|
spelling |
Janosi, Imre MiklosTel, TamasWolf, Dietrich EmilGallas, Jason Alfredo Carlson2014-09-23T02:12:33Z19971063-651Xhttp://hdl.handle.net/10183/103641000152482It is well known, that the dynamics of small particles moving in a viscous fluid is strongly influenced by the long-range hydrodynamical interaction between them. Motion at high viscosity is usually treated by means of the Stokes equations, which are linear and instantaneous. Nevertheless, the hydrodynamical interaction mediated by the liquid is nonlinear; therefore the dynamics of more than two particles can be rather complex. Here we present a high resolution numerical analysis of the classical three-particle Stokeslet problem in a vertical plane. We show that a chaotic saddle in the phase space is responsible for the extreme sensitivity to initial configurations, which has been mentioned several times in the literature without an explanation. A detailed analysis of the transiently chaotic dynamics and the underlying fractal patterns is given.application/pdfengPhysical Review, E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics. New York. Vol. 56, no. 3 (Sept. 1997), p. 2858-2868Áreas clássicas de fenomenologia e suas aplicaçõesDinâmica dos fluidosSistemas caóticosChaotic particle dynamics in viscous flows: the three-particle stokeslet problemEstrangeiroinfo: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:UFRGSORIGINAL000152482.pdf000152482.pdfTexto completo (inglês)application/pdf553837http://www.lume.ufrgs.br/bitstream/10183/103641/1/000152482.pdf6055eabd9ec92c0eaa2c9059ed354f8fMD51TEXT000152482.pdf.txt000152482.pdf.txtExtracted Texttext/plain43908http://www.lume.ufrgs.br/bitstream/10183/103641/2/000152482.pdf.txtc92601195323b3b4b1ba3461842a8e51MD52THUMBNAIL000152482.pdf.jpg000152482.pdf.jpgGenerated Thumbnailimage/jpeg2085http://www.lume.ufrgs.br/bitstream/10183/103641/3/000152482.pdf.jpg9d142d1455efd5d6fc4bae0f8a6beacfMD5310183/1036412024-03-28 06:23:42.509771oai:www.lume.ufrgs.br:10183/103641Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-03-28T09:23:42Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem |
title |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem |
spellingShingle |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem Janosi, Imre Miklos Áreas clássicas de fenomenologia e suas aplicações Dinâmica dos fluidos Sistemas caóticos |
title_short |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem |
title_full |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem |
title_fullStr |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem |
title_full_unstemmed |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem |
title_sort |
Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem |
author |
Janosi, Imre Miklos |
author_facet |
Janosi, Imre Miklos Tel, Tamas Wolf, Dietrich Emil Gallas, Jason Alfredo Carlson |
author_role |
author |
author2 |
Tel, Tamas Wolf, Dietrich Emil Gallas, Jason Alfredo Carlson |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Janosi, Imre Miklos Tel, Tamas Wolf, Dietrich Emil Gallas, Jason Alfredo Carlson |
dc.subject.por.fl_str_mv |
Áreas clássicas de fenomenologia e suas aplicações Dinâmica dos fluidos Sistemas caóticos |
topic |
Áreas clássicas de fenomenologia e suas aplicações Dinâmica dos fluidos Sistemas caóticos |
description |
It is well known, that the dynamics of small particles moving in a viscous fluid is strongly influenced by the long-range hydrodynamical interaction between them. Motion at high viscosity is usually treated by means of the Stokes equations, which are linear and instantaneous. Nevertheless, the hydrodynamical interaction mediated by the liquid is nonlinear; therefore the dynamics of more than two particles can be rather complex. Here we present a high resolution numerical analysis of the classical three-particle Stokeslet problem in a vertical plane. We show that a chaotic saddle in the phase space is responsible for the extreme sensitivity to initial configurations, which has been mentioned several times in the literature without an explanation. A detailed analysis of the transiently chaotic dynamics and the underlying fractal patterns is given. |
publishDate |
1997 |
dc.date.issued.fl_str_mv |
1997 |
dc.date.accessioned.fl_str_mv |
2014-09-23T02:12:33Z |
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/10183/103641 |
dc.identifier.issn.pt_BR.fl_str_mv |
1063-651X |
dc.identifier.nrb.pt_BR.fl_str_mv |
000152482 |
identifier_str_mv |
1063-651X 000152482 |
url |
http://hdl.handle.net/10183/103641 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical Review, E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics. New York. Vol. 56, no. 3 (Sept. 1997), p. 2858-2868 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRGS instname:Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
instname_str |
Universidade Federal do Rio Grande do Sul (UFRGS) |
instacron_str |
UFRGS |
institution |
UFRGS |
reponame_str |
Repositório Institucional da UFRGS |
collection |
Repositório Institucional da UFRGS |
bitstream.url.fl_str_mv |
http://www.lume.ufrgs.br/bitstream/10183/103641/1/000152482.pdf http://www.lume.ufrgs.br/bitstream/10183/103641/2/000152482.pdf.txt http://www.lume.ufrgs.br/bitstream/10183/103641/3/000152482.pdf.jpg |
bitstream.checksum.fl_str_mv |
6055eabd9ec92c0eaa2c9059ed354f8f c92601195323b3b4b1ba3461842a8e51 9d142d1455efd5d6fc4bae0f8a6beacf |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS) |
repository.mail.fl_str_mv |
|
_version_ |
1801224850997510144 |