A Semi-Analytical Method for Channel and Pipe Flows for the Linear Phan-Thien-Tanner Fluid Model with a Solvent Contribution
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , , |
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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Repositório Institucional da UNESP |
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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_ |
1799965592099225600 |