Analytical solution of steady 2D wall-free extensional flows of UCM fluids
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Data de Publicação: | 2015 |
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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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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) |
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UFRJ |
institution |
UFRJ |
reponame_str |
Repositório Institucional da UFRJ |
collection |
Repositório Institucional da UFRJ |
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