A mathematical formulation of the boundary integral equations for a compressible stokes flow

Detalhes bibliográficos
Autor(a) principal: Cunha,Francisco Ricardo
Data de Publicação: 2003
Outros Autores: Sousa,Aldo João de, Loewenberg,Michael
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000100004
Resumo: A general boundary integral formulation for compressible Stokes flows is theoretically described within the framework of hydrodynamic potentials. The integral equation is implemented numerically to the study of drop expansion in compressible viscous flows. Marker point positions on the drop interface are involved by using the boundary integral method for calculation of fluid velocity. Surface discretization is adaptive to the instantaneous drops shapes. The interplay between viscous and surface tension and its influence on the evolving emulsion microstructure during its expansion is fundamental to the science and technology of foam processing. In this article the method is applied for 3D simulations of emulsion densification that involves an uniform expansion of a viscous fluid containing spherical drops on a body centered cubic lattice (BCC).
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spelling A mathematical formulation of the boundary integral equations for a compressible stokes flowboundary integralcompressible dropsemulsiondensificationA general boundary integral formulation for compressible Stokes flows is theoretically described within the framework of hydrodynamic potentials. The integral equation is implemented numerically to the study of drop expansion in compressible viscous flows. Marker point positions on the drop interface are involved by using the boundary integral method for calculation of fluid velocity. Surface discretization is adaptive to the instantaneous drops shapes. The interplay between viscous and surface tension and its influence on the evolving emulsion microstructure during its expansion is fundamental to the science and technology of foam processing. In this article the method is applied for 3D simulations of emulsion densification that involves an uniform expansion of a viscous fluid containing spherical drops on a body centered cubic lattice (BCC).Sociedade Brasileira de Matemática Aplicada e Computacional2003-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000100004Computational & Applied Mathematics v.22 n.1 2003reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessCunha,Francisco RicardoSousa,Aldo João deLoewenberg,Michaeleng2004-07-19T00:00:00Zoai:scielo:S1807-03022003000100004Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2004-07-19T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv A mathematical formulation of the boundary integral equations for a compressible stokes flow
title A mathematical formulation of the boundary integral equations for a compressible stokes flow
spellingShingle A mathematical formulation of the boundary integral equations for a compressible stokes flow
Cunha,Francisco Ricardo
boundary integral
compressible drops
emulsion
densification
title_short A mathematical formulation of the boundary integral equations for a compressible stokes flow
title_full A mathematical formulation of the boundary integral equations for a compressible stokes flow
title_fullStr A mathematical formulation of the boundary integral equations for a compressible stokes flow
title_full_unstemmed A mathematical formulation of the boundary integral equations for a compressible stokes flow
title_sort A mathematical formulation of the boundary integral equations for a compressible stokes flow
author Cunha,Francisco Ricardo
author_facet Cunha,Francisco Ricardo
Sousa,Aldo João de
Loewenberg,Michael
author_role author
author2 Sousa,Aldo João de
Loewenberg,Michael
author2_role author
author
dc.contributor.author.fl_str_mv Cunha,Francisco Ricardo
Sousa,Aldo João de
Loewenberg,Michael
dc.subject.por.fl_str_mv boundary integral
compressible drops
emulsion
densification
topic boundary integral
compressible drops
emulsion
densification
description A general boundary integral formulation for compressible Stokes flows is theoretically described within the framework of hydrodynamic potentials. The integral equation is implemented numerically to the study of drop expansion in compressible viscous flows. Marker point positions on the drop interface are involved by using the boundary integral method for calculation of fluid velocity. Surface discretization is adaptive to the instantaneous drops shapes. The interplay between viscous and surface tension and its influence on the evolving emulsion microstructure during its expansion is fundamental to the science and technology of foam processing. In this article the method is applied for 3D simulations of emulsion densification that involves an uniform expansion of a viscous fluid containing spherical drops on a body centered cubic lattice (BCC).
publishDate 2003
dc.date.none.fl_str_mv 2003-01-01
dc.type.driver.fl_str_mv 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://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000100004
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022003000100004
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.22 n.1 2003
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
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instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
institution SBMAC
reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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