Analytical solution of steady 2D wall-free extensional flows of UCM fluids

Detalhes bibliográficos
Autor(a) principal: Cruz, Daniel Onofre de Almeida
Data de Publicação: 2015
Outros Autores: Pinho, Fernando Manuel Coutinho Tavares de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8446
Resumo: Indisponível.
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spelling Cruz, Daniel Onofre de AlmeidaPinho, Fernando Manuel Coutinho Tavares de2019-06-12T16:49:22Z2023-11-30T03:03:30Z2015-06-240377-0257http://hdl.handle.net/11422/844610.1016/j.jnnfm.2015.06.001Indisponível.The general analytical solution for the two-dimensional steady planar extensional flow with wall-free stagnation point is obtained for viscoelastic fluids described by the upper convected Maxwell model providing the stress and pressure fields. The two normal stress fields contain terms that are unbounded for |a|De < ½, |a|De > ½ and even for any |a|De, where De denotes the Deborah number and |a|De denotes the Weissenberg number, but the pressure field is only unbounded for |a|De < ½. Properties of the first invariant of the stress tensor impose relations between the various stress and pressure coefficients and also require that they are odd functions of |a|De. The solution is such that no stress singularities exist if the stress boundary conditions are equal to the stress particular solutions. For |a|De < ½ the only way for the pressure to be bounded is for the stresses to be constant in the whole extensional flow domain and equal to those particular stresses, in which case the loss of stress smoothness, reported previously in the literature, does not exist. For |a|De > ½, however, the pressure remains bounded even in the presence of stress singularities. In all flow cases studied, the stress and pressure fields are contained by the general solution, but may require some coefficients to be null.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-06-12T16:49:22Z No. of bitstreams: 1 4-2015_Analytical-solution-of-steady-2D-min.pdf: 275193 bytes, checksum: 7abd07a0a70c95523d01e1b12aaefe66 (MD5)Made available in DSpace on 2019-06-12T16:49:22Z (GMT). No. of bitstreams: 1 4-2015_Analytical-solution-of-steady-2D-min.pdf: 275193 bytes, checksum: 7abd07a0a70c95523d01e1b12aaefe66 (MD5) Previous issue date: 2015-06-24engElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosJournal of Non-Newtonian Fluid MechanicsCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSUpper Convected Maxwell modelWall-free steady planar stagnation point flowAnalytical solutionStress and pressure fieldsAnalytical solution of steady 2D wall-free extensional flows of UCM fluidsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article223157164365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL4-2015_Analytical-solution-of-steady-2D-min.pdf4-2015_Analytical-solution-of-steady-2D-min.pdfapplication/pdf275193http://pantheon.ufrj.br:80/bitstream/11422/8446/1/4-2015_Analytical-solution-of-steady-2D-min.pdf7abd07a0a70c95523d01e1b12aaefe66MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8446/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/84462023-11-30 00:03:30.788oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:30Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Analytical solution of steady 2D wall-free extensional flows of UCM fluids
title Analytical solution of steady 2D wall-free extensional flows of UCM fluids
spellingShingle Analytical solution of steady 2D wall-free extensional flows of UCM fluids
Cruz, Daniel Onofre de Almeida
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Upper Convected Maxwell model
Wall-free steady planar stagnation point flow
Analytical solution
Stress and pressure fields
title_short Analytical solution of steady 2D wall-free extensional flows of UCM fluids
title_full Analytical solution of steady 2D wall-free extensional flows of UCM fluids
title_fullStr Analytical solution of steady 2D wall-free extensional flows of UCM fluids
title_full_unstemmed Analytical solution of steady 2D wall-free extensional flows of UCM fluids
title_sort Analytical solution of steady 2D wall-free extensional flows of UCM fluids
author Cruz, Daniel Onofre de Almeida
author_facet Cruz, Daniel Onofre de Almeida
Pinho, Fernando Manuel Coutinho Tavares de
author_role author
author2 Pinho, Fernando Manuel Coutinho Tavares de
author2_role author
dc.contributor.author.fl_str_mv Cruz, Daniel Onofre de Almeida
Pinho, Fernando Manuel Coutinho Tavares de
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Upper Convected Maxwell model
Wall-free steady planar stagnation point flow
Analytical solution
Stress and pressure fields
dc.subject.eng.fl_str_mv Upper Convected Maxwell model
Wall-free steady planar stagnation point flow
Analytical solution
Stress and pressure fields
description Indisponível.
publishDate 2015
dc.date.issued.fl_str_mv 2015-06-24
dc.date.accessioned.fl_str_mv 2019-06-12T16:49:22Z
dc.date.available.fl_str_mv 2023-11-30T03:03:30Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11422/8446
dc.identifier.issn.pt_BR.fl_str_mv 0377-0257
dc.identifier.doi.pt_BR.fl_str_mv 10.1016/j.jnnfm.2015.06.001
identifier_str_mv 0377-0257
10.1016/j.jnnfm.2015.06.001
url http://hdl.handle.net/11422/8446
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Journal of Non-Newtonian Fluid Mechanics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8446/1/4-2015_Analytical-solution-of-steady-2D-min.pdf
http://pantheon.ufrj.br:80/bitstream/11422/8446/2/license.txt
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