A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade
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/10174/16984 |
Resumo: | In this talk, we study the unsteady motion of a generalized viscoelastic fluid of third-grade where specific normal stress coefficient depends on the shear rate by using a power-law model. For that, we use the Cosserat theory approach which reduces the exact three-dimensional equations to a system depending only on time and on a single spatial variable. This one-dimensional system is obtained by integrating the linear momentum equation over the cross-section of the tube, taking a velocity field approximation provided by the Cosserat theory. The velocity field approximation satisfies exactly both the incompressibility condition and the kinematic boundary condition. From this reduced system, we obtain unsteady equations for the wall shear stress and mean pressure gradient depending on the volume flow rate, Womersley number, viscoelastic coefficients and flow index over a finite section of the tube geometry with constant circular cross-section. Attention is focused on some numerical simulations and on the analysis of perturbed flows. |
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A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-gradeOne-dimensional modelCosserat theoryvolume flow rategeneralized third grade fluidaxisymmetric motionpressure gradientIn this talk, we study the unsteady motion of a generalized viscoelastic fluid of third-grade where specific normal stress coefficient depends on the shear rate by using a power-law model. For that, we use the Cosserat theory approach which reduces the exact three-dimensional equations to a system depending only on time and on a single spatial variable. This one-dimensional system is obtained by integrating the linear momentum equation over the cross-section of the tube, taking a velocity field approximation provided by the Cosserat theory. The velocity field approximation satisfies exactly both the incompressibility condition and the kinematic boundary condition. From this reduced system, we obtain unsteady equations for the wall shear stress and mean pressure gradient depending on the volume flow rate, Womersley number, viscoelastic coefficients and flow index over a finite section of the tube geometry with constant circular cross-section. Attention is focused on some numerical simulations and on the analysis of perturbed flows.CIMAUE9thWSMC152016-01-28T13:05:07Z2016-01-282015-11-15T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjecthttp://hdl.handle.net/10174/16984http://hdl.handle.net/10174/16984porhttp://conferencestat2015.wix.com/wsmc9simsimnaoflc@uevora.ptpcorreia@uevora.pt335Carapau, 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:10174/16984Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:08:12.538822Repositório 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 |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade |
title |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade |
spellingShingle |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade Carapau, Fernando One-dimensional model Cosserat theory volume flow rate generalized third grade fluid axisymmetric motion pressure gradient |
title_short |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade |
title_full |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade |
title_fullStr |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade |
title_full_unstemmed |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade |
title_sort |
A one-dimensional method based on Cosserat theory for a generalized unsteady viscoelastic fluid of third-grade |
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 Cosserat theory volume flow rate generalized third grade fluid axisymmetric motion pressure gradient |
topic |
One-dimensional model Cosserat theory volume flow rate generalized third grade fluid axisymmetric motion pressure gradient |
description |
In this talk, we study the unsteady motion of a generalized viscoelastic fluid of third-grade where specific normal stress coefficient depends on the shear rate by using a power-law model. For that, we use the Cosserat theory approach which reduces the exact three-dimensional equations to a system depending only on time and on a single spatial variable. This one-dimensional system is obtained by integrating the linear momentum equation over the cross-section of the tube, taking a velocity field approximation provided by the Cosserat theory. The velocity field approximation satisfies exactly both the incompressibility condition and the kinematic boundary condition. From this reduced system, we obtain unsteady equations for the wall shear stress and mean pressure gradient depending on the volume flow rate, Womersley number, viscoelastic coefficients and flow index over a finite section of the tube geometry with constant circular cross-section. Attention is focused on some numerical simulations and on the analysis of perturbed flows. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-11-15T00:00:00Z 2016-01-28T13:05:07Z 2016-01-28 |
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/10174/16984 http://hdl.handle.net/10174/16984 |
url |
http://hdl.handle.net/10174/16984 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.none.fl_str_mv |
http://conferencestat2015.wix.com/wsmc9 sim sim nao flc@uevora.pt pcorreia@uevora.pt 335 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
9thWSMC15 |
publisher.none.fl_str_mv |
9thWSMC15 |
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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1799136565722611712 |