One-dimensional model of fluids of third grade in straight tubes with constant radius
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | por |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10174/16117 |
Resumo: | In recent years the Cosserat theory approach has been applied in the field of fluid dynamics to reduce the full three-dimensional system of equations of the flow motion into a one-dimensional system of partial differential equations which, apart from the dependence on time, depends only on a single spatial variable. Applying this approach theory in the particular case of a straight tube of constant circular cross-section, we obtain a one-dimensional model related with the flow of a viscoelastic fluid of differential type with complexity n = 3. From this reduced system, we derive unsteady equations for the wall shear stress and mean pressure gradient depending on the volume flow rate, tube geometry, Womersley number and viscoelastic coefficients over a finite section of the straight rigid tube. Attention is focused on some numerical simulations of unsteady flow regimes. |
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One-dimensional model of fluids of third grade in straight tubes with constant radiusOne-dimensional modelFluid of third grade.In recent years the Cosserat theory approach has been applied in the field of fluid dynamics to reduce the full three-dimensional system of equations of the flow motion into a one-dimensional system of partial differential equations which, apart from the dependence on time, depends only on a single spatial variable. Applying this approach theory in the particular case of a straight tube of constant circular cross-section, we obtain a one-dimensional model related with the flow of a viscoelastic fluid of differential type with complexity n = 3. From this reduced system, we derive unsteady equations for the wall shear stress and mean pressure gradient depending on the volume flow rate, tube geometry, Womersley number and viscoelastic coefficients over a finite section of the straight rigid tube. Attention is focused on some numerical simulations of unsteady flow regimes.MatTriad’20152015-10-27T14:16:50Z2015-10-272015-09-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://hdl.handle.net/10174/16117http://hdl.handle.net/10174/16117porhttp://www.mattriad.ipt.pt/MatTriad’2015naosimnaoflc@uevora.ptpcorreia@uevora.pt334Carapau, FernandoCorreia, Pauloinfo: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:RCAAP2024-01-03T19:01:51Zoai:dspace.uevora.pt:10174/16117Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:08:12.493288Repositório 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 |
One-dimensional model of fluids of third grade in straight tubes with constant radius |
title |
One-dimensional model of fluids of third grade in straight tubes with constant radius |
spellingShingle |
One-dimensional model of fluids of third grade in straight tubes with constant radius Carapau, Fernando One-dimensional model Fluid of third grade. |
title_short |
One-dimensional model of fluids of third grade in straight tubes with constant radius |
title_full |
One-dimensional model of fluids of third grade in straight tubes with constant radius |
title_fullStr |
One-dimensional model of fluids of third grade in straight tubes with constant radius |
title_full_unstemmed |
One-dimensional model of fluids of third grade in straight tubes with constant radius |
title_sort |
One-dimensional model of fluids of third grade in straight tubes with constant radius |
author |
Carapau, Fernando |
author_facet |
Carapau, Fernando Correia, Paulo |
author_role |
author |
author2 |
Correia, Paulo |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Carapau, Fernando Correia, Paulo |
dc.subject.por.fl_str_mv |
One-dimensional model Fluid of third grade. |
topic |
One-dimensional model Fluid of third grade. |
description |
In recent years the Cosserat theory approach has been applied in the field of fluid dynamics to reduce the full three-dimensional system of equations of the flow motion into a one-dimensional system of partial differential equations which, apart from the dependence on time, depends only on a single spatial variable. Applying this approach theory in the particular case of a straight tube of constant circular cross-section, we obtain a one-dimensional model related with the flow of a viscoelastic fluid of differential type with complexity n = 3. From this reduced system, we derive unsteady equations for the wall shear stress and mean pressure gradient depending on the volume flow rate, tube geometry, Womersley number and viscoelastic coefficients over a finite section of the straight rigid tube. Attention is focused on some numerical simulations of unsteady flow regimes. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-10-27T14:16:50Z 2015-10-27 2015-09-10T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10174/16117 http://hdl.handle.net/10174/16117 |
url |
http://hdl.handle.net/10174/16117 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
http://www.mattriad.ipt.pt/ MatTriad’2015 nao sim nao flc@uevora.pt pcorreia@uevora.pt 334 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
MatTriad’2015 |
publisher.none.fl_str_mv |
MatTriad’2015 |
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 |
repository.mail.fl_str_mv |
|
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1799136565721563136 |