Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution

Detalhes bibliográficos
Autor(a) principal: Cruz, D. O. A.
Data de Publicação: 2005
Outros Autores: Pinho, Fernando, Oliveira, Paulo J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/591
Resumo: We present analytical solutions for fully developed pipe and channel flows of two viscoelastic fluids possessing a Newtonian solvent, where the polymer contribution is either described by the Phan-Thien–Tanner (PTT) or FENE-P models. We derive in detail the pipe flow solution for the PTT fluid, and present the final solutions for the remaining three cases. This constitutes an important addition to existing results where the presence of a solvent with Newtonian characteristics has been consistently overlooked, as it posed considerable difficulties to the task of obtaining a closed form solution. In addition, interesting aspects of the solutions are discussed.
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spelling Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contributionAnalytical solutionPipe flowChannel flowFully developedPTTSolvent viscosityFENE-PViscoelasticWe present analytical solutions for fully developed pipe and channel flows of two viscoelastic fluids possessing a Newtonian solvent, where the polymer contribution is either described by the Phan-Thien–Tanner (PTT) or FENE-P models. We derive in detail the pipe flow solution for the PTT fluid, and present the final solutions for the remaining three cases. This constitutes an important addition to existing results where the presence of a solvent with Newtonian characteristics has been consistently overlooked, as it posed considerable difficulties to the task of obtaining a closed form solution. In addition, interesting aspects of the solutions are discussed.uBibliorumCruz, D. O. A.Pinho, FernandoOliveira, Paulo J.2010-04-28T10:07:13Z20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/591enginfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-12-15T09:35:50Zoai:ubibliorum.ubi.pt:10400.6/591Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:42:37.716609Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
title Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
spellingShingle Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
Cruz, D. O. A.
Analytical solution
Pipe flow
Channel flow
Fully developed
PTT
Solvent viscosity
FENE-P
Viscoelastic
title_short Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
title_full Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
title_fullStr Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
title_full_unstemmed Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
title_sort Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution
author Cruz, D. O. A.
author_facet Cruz, D. O. A.
Pinho, Fernando
Oliveira, Paulo J.
author_role author
author2 Pinho, Fernando
Oliveira, Paulo J.
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Cruz, D. O. A.
Pinho, Fernando
Oliveira, Paulo J.
dc.subject.por.fl_str_mv Analytical solution
Pipe flow
Channel flow
Fully developed
PTT
Solvent viscosity
FENE-P
Viscoelastic
topic Analytical solution
Pipe flow
Channel flow
Fully developed
PTT
Solvent viscosity
FENE-P
Viscoelastic
description We present analytical solutions for fully developed pipe and channel flows of two viscoelastic fluids possessing a Newtonian solvent, where the polymer contribution is either described by the Phan-Thien–Tanner (PTT) or FENE-P models. We derive in detail the pipe flow solution for the PTT fluid, and present the final solutions for the remaining three cases. This constitutes an important addition to existing results where the presence of a solvent with Newtonian characteristics has been consistently overlooked, as it posed considerable difficulties to the task of obtaining a closed form solution. In addition, interesting aspects of the solutions are discussed.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-01-01T00:00:00Z
2010-04-28T10:07:13Z
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/10400.6/591
url http://hdl.handle.net/10400.6/591
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 application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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