A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution

Detalhes bibliográficos
Autor(a) principal: de Araujo, Matheus Tozo
Data de Publicação: 2022
Outros Autores: Furlan, Laison, Brandi, Analice [UNESP], Souza, Leandro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.3390/polym14214675
http://hdl.handle.net/11449/246296
Resumo: This work presents a semi-analytical method for laminar steady-state channel and pipe flows of viscoelastic fluids using the Linear Phan-Thien-Tanner (LPTT) constitutive equation, with solvent viscosity contribution. For the semi-analytical method validation, it compares its results and two analytical solutions: the Oldroyd-B model and the simplified LPTT model (without solvent viscosity contribution). The results adopted different values of the dimensionless parameters, showing their influence on the viscoelastic fluid flow. The results include the distribution of the streamwise velocity component and the extra-stress tensor components in the wall-normal direction. In order to investigate the proposed semi-analytical method, different solutions were obtained, both for channel and pipe flows, considering different values of Reynolds number, solvent viscosity contribution in the homogeneous mixture, elongational parameter, shear parameter, and Weissenberg number. The results show that the proposed semi-analytical method can find a laminar solution using the non-Newtonian LPTT model with solvent viscosity contribution and verify the effect of the parameters in the resulting flow field.
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spelling A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contributionchannel flowPhan-Thien-Tanner constitutive equationpipe flowsemi-analytical methodsolvent viscosity contributionThis work presents a semi-analytical method for laminar steady-state channel and pipe flows of viscoelastic fluids using the Linear Phan-Thien-Tanner (LPTT) constitutive equation, with solvent viscosity contribution. For the semi-analytical method validation, it compares its results and two analytical solutions: the Oldroyd-B model and the simplified LPTT model (without solvent viscosity contribution). The results adopted different values of the dimensionless parameters, showing their influence on the viscoelastic fluid flow. The results include the distribution of the streamwise velocity component and the extra-stress tensor components in the wall-normal direction. In order to investigate the proposed semi-analytical method, different solutions were obtained, both for channel and pipe flows, considering different values of Reynolds number, solvent viscosity contribution in the homogeneous mixture, elongational parameter, shear parameter, and Weissenberg number. The results show that the proposed semi-analytical method can find a laminar solution using the non-Newtonian LPTT model with solvent viscosity contribution and verify the effect of the parameters in the resulting flow field.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Department of Applied Mathematics and Statistics University of Sao PauloDepartment of Mathematics and Computer Science Sao Paulo State UniversityDepartment of Mathematics and Computer Science Sao Paulo State UniversityFAPESP: 2013/07375-0Universidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)de Araujo, Matheus TozoFurlan, LaisonBrandi, Analice [UNESP]Souza, Leandro2023-07-29T12:37:05Z2023-07-29T12:37:05Z2022-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.3390/polym14214675Polymers, v. 14, n. 21, 2022.2073-4360http://hdl.handle.net/11449/24629610.3390/polym142146752-s2.0-85141846850Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPolymersinfo:eu-repo/semantics/openAccess2023-07-29T12:37:05Zoai:repositorio.unesp.br:11449/246296Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T12:37:05Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
title A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
spellingShingle A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
de Araujo, Matheus Tozo
channel flow
Phan-Thien-Tanner constitutive equation
pipe flow
semi-analytical method
solvent viscosity contribution
title_short A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
title_full A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
title_fullStr A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
title_full_unstemmed A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
title_sort A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
author de Araujo, Matheus Tozo
author_facet de Araujo, Matheus Tozo
Furlan, Laison
Brandi, Analice [UNESP]
Souza, Leandro
author_role author
author2 Furlan, Laison
Brandi, Analice [UNESP]
Souza, Leandro
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade de São Paulo (USP)
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv de Araujo, Matheus Tozo
Furlan, Laison
Brandi, Analice [UNESP]
Souza, Leandro
dc.subject.por.fl_str_mv channel flow
Phan-Thien-Tanner constitutive equation
pipe flow
semi-analytical method
solvent viscosity contribution
topic channel flow
Phan-Thien-Tanner constitutive equation
pipe flow
semi-analytical method
solvent viscosity contribution
description This work presents a semi-analytical method for laminar steady-state channel and pipe flows of viscoelastic fluids using the Linear Phan-Thien-Tanner (LPTT) constitutive equation, with solvent viscosity contribution. For the semi-analytical method validation, it compares its results and two analytical solutions: the Oldroyd-B model and the simplified LPTT model (without solvent viscosity contribution). The results adopted different values of the dimensionless parameters, showing their influence on the viscoelastic fluid flow. The results include the distribution of the streamwise velocity component and the extra-stress tensor components in the wall-normal direction. In order to investigate the proposed semi-analytical method, different solutions were obtained, both for channel and pipe flows, considering different values of Reynolds number, solvent viscosity contribution in the homogeneous mixture, elongational parameter, shear parameter, and Weissenberg number. The results show that the proposed semi-analytical method can find a laminar solution using the non-Newtonian LPTT model with solvent viscosity contribution and verify the effect of the parameters in the resulting flow field.
publishDate 2022
dc.date.none.fl_str_mv 2022-11-01
2023-07-29T12:37:05Z
2023-07-29T12:37:05Z
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://dx.doi.org/10.3390/polym14214675
Polymers, v. 14, n. 21, 2022.
2073-4360
http://hdl.handle.net/11449/246296
10.3390/polym14214675
2-s2.0-85141846850
url http://dx.doi.org/10.3390/polym14214675
http://hdl.handle.net/11449/246296
identifier_str_mv Polymers, v. 14, n. 21, 2022.
2073-4360
10.3390/polym14214675
2-s2.0-85141846850
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Polymers
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1797790269838458880

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