Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid

Detalhes bibliográficos
Autor(a) principal: Ribau, Ângela M.
Data de Publicação: 2019
Outros Autores: Ferrás, Luís L., Morgado, Maria L., Rebelo, Magda, Afonso, Alexandre M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/98743
Resumo: PTDC/EMS-ENE/3362/2014 POCI-01-0145-FEDER-016665 SFRH/BPD/100353/2014 UID/MAT/00297/2019
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spelling Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluidCouette flowGeneralised simplified PTTMittag–LefflerPhan-Thien–Tanner (PTT) modelPoiseuille–Couette flowCondensed Matter PhysicsMechanical EngineeringFluid Flow and Transfer ProcessesPTDC/EMS-ENE/3362/2014 POCI-01-0145-FEDER-016665 SFRH/BPD/100353/2014 UID/MAT/00297/2019This work presents new analytical and semi-analytical solutions for the pure Couette and Poiseuille–Couette flows, described by the recently proposed (Ferrás et al., A Generalised Phan-Thien–Tanner Model, JNNFM 2019) viscoelastic model, known as the generalised Phan-Thien–Tanner constitutive equation. This generalised version considers the Mittag–Leffler function instead of the classical linear or exponential functions of the trace of the stress tensor, and provides one or two new fitting constants in order to achieve additional fitting flexibility. The analytical solutions derived in this work allow a better understanding of the model, and therefore contribute to improve the modelling of complex materials, and will provide an interesting challenge to computational rheologists, to benchmarking and to code verification.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNRibau, Ângela M.Ferrás, Luís L.Morgado, Maria L.Rebelo, MagdaAfonso, Alexandre M.2020-06-03T00:50:45Z2019-07-122019-07-12T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/98743eng2311-5521PURE: 16196449https://doi.org/10.3390/fluids4030129info: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:RCAAP2024-03-11T04:45:56Zoai:run.unl.pt:10362/98743Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:39:02.459366Repositório 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 Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
title Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
spellingShingle Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
Ribau, Ângela M.
Couette flow
Generalised simplified PTT
Mittag–Leffler
Phan-Thien–Tanner (PTT) model
Poiseuille–Couette flow
Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes
title_short Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
title_full Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
title_fullStr Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
title_full_unstemmed Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
title_sort Semi-analytical solutions for the Poiseuille–Couette flow of a generalised Phan-Thien–Tanner fluid
author Ribau, Ângela M.
author_facet Ribau, Ângela M.
Ferrás, Luís L.
Morgado, Maria L.
Rebelo, Magda
Afonso, Alexandre M.
author_role author
author2 Ferrás, Luís L.
Morgado, Maria L.
Rebelo, Magda
Afonso, Alexandre M.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Ribau, Ângela M.
Ferrás, Luís L.
Morgado, Maria L.
Rebelo, Magda
Afonso, Alexandre M.
dc.subject.por.fl_str_mv Couette flow
Generalised simplified PTT
Mittag–Leffler
Phan-Thien–Tanner (PTT) model
Poiseuille–Couette flow
Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes
topic Couette flow
Generalised simplified PTT
Mittag–Leffler
Phan-Thien–Tanner (PTT) model
Poiseuille–Couette flow
Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes
description PTDC/EMS-ENE/3362/2014 POCI-01-0145-FEDER-016665 SFRH/BPD/100353/2014 UID/MAT/00297/2019
publishDate 2019
dc.date.none.fl_str_mv 2019-07-12
2019-07-12T00:00:00Z
2020-06-03T00:50:45Z
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/10362/98743
url http://hdl.handle.net/10362/98743
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2311-5521
PURE: 16196449
https://doi.org/10.3390/fluids4030129
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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