NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/194831 |
Resumo: | Numerical simulation of viscoelastic flows using Phan-Thien-Tanner (PTT) [1] differential constitutive equation, and an algebraic extra-stress model (AESM) proposed by G. Mompean [2] are presented in this work. In order to evaluate the perform of the AESM and show that it can cope with complex flows, two problems are studied: fully developed channel flow and the flow through a 4:1 planar contraction at low Reynolds number. The governing equations are solved using a Marker-and-Cell type method on a staggered grid [3]. The momentum equation is integrated by the implicit scheme while the algebraic PTT equation is solved explicitly by a forward Euler method. The accuracy of the numerical method is verified by comparing numerical results of fully-developed channel flow with the corresponding analytic solutions. The planar contraction problem is employed to assess whether the algebraic model is able to predict the viscoelastic flow displaying the same behavior of the differential PTT model. Moreover, to show the advantages of the algebraic extra-stress model (AESM) over the differential PTT model, a study of the computational effort has been carried out. |
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NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODELViscoelastic FlowsAlgebraic and Differential PTT ModelCPU TimePlanar ContractionNumerical simulation of viscoelastic flows using Phan-Thien-Tanner (PTT) [1] differential constitutive equation, and an algebraic extra-stress model (AESM) proposed by G. Mompean [2] are presented in this work. In order to evaluate the perform of the AESM and show that it can cope with complex flows, two problems are studied: fully developed channel flow and the flow through a 4:1 planar contraction at low Reynolds number. The governing equations are solved using a Marker-and-Cell type method on a staggered grid [3]. The momentum equation is integrated by the implicit scheme while the algebraic PTT equation is solved explicitly by a forward Euler method. The accuracy of the numerical method is verified by comparing numerical results of fully-developed channel flow with the corresponding analytic solutions. The planar contraction problem is employed to assess whether the algebraic model is able to predict the viscoelastic flow displaying the same behavior of the differential PTT model. Moreover, to show the advantages of the algebraic extra-stress model (AESM) over the differential PTT model, a study of the computational effort has been carried out.UNESP Univ Estadual Paulista, FCT, Campus Presidente Prudente, BR-19060900 Presidente Prudente, SP, BrazilUniv Sci & Technol Lille, PolytechLille, Lab Mecan Lille, URM CNRS 8107, F-59655 Villeneuve Dascq, FranceUNESP Univ Estadual Paulista, FCT, Campus Presidente Prudente, BR-19060900 Presidente Prudente, SP, BrazilInt Center Numerical Methods EngineeringUniversidade Estadual Paulista (Unesp)Univ Sci & Technol LilleDolci, Daiane I. [UNESP]Paulo, Gilcilene S. [UNESP]Mompean, GilmarOnate, E.Oliver, XHuerta, A.2020-12-10T16:55:55Z2020-12-10T16:55:55Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject7113-712311th World Congress On Computational Mechanics; 5th European Conference On Computational Mechanics; 6th European Conference On Computational Fluid Dynamics, Vols V - Vi. 08034 Barcelona: Int Center Numerical Methods Engineering, p. 7113-7123, 2014.http://hdl.handle.net/11449/194831WOS:000485094604011Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng11th World Congress On Computational Mechanics; 5th European Conference On Computational Mechanics; 6th European Conference On Computational Fluid Dynamics, Vols V - Viinfo:eu-repo/semantics/openAccess2021-10-22T21:16:05Zoai:repositorio.unesp.br:11449/194831Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:09:42.863238Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL |
title |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL |
spellingShingle |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL Dolci, Daiane I. [UNESP] Viscoelastic Flows Algebraic and Differential PTT Model CPU Time Planar Contraction |
title_short |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL |
title_full |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL |
title_fullStr |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL |
title_full_unstemmed |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL |
title_sort |
NUMERICAL PREDICTIONS OF VISCOELASTIC FLOWS WITH AN ALGEBRAIC EXTRA-STRESS MODEL |
author |
Dolci, Daiane I. [UNESP] |
author_facet |
Dolci, Daiane I. [UNESP] Paulo, Gilcilene S. [UNESP] Mompean, Gilmar Onate, E. Oliver, X Huerta, A. |
author_role |
author |
author2 |
Paulo, Gilcilene S. [UNESP] Mompean, Gilmar Onate, E. Oliver, X Huerta, A. |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Univ Sci & Technol Lille |
dc.contributor.author.fl_str_mv |
Dolci, Daiane I. [UNESP] Paulo, Gilcilene S. [UNESP] Mompean, Gilmar Onate, E. Oliver, X Huerta, A. |
dc.subject.por.fl_str_mv |
Viscoelastic Flows Algebraic and Differential PTT Model CPU Time Planar Contraction |
topic |
Viscoelastic Flows Algebraic and Differential PTT Model CPU Time Planar Contraction |
description |
Numerical simulation of viscoelastic flows using Phan-Thien-Tanner (PTT) [1] differential constitutive equation, and an algebraic extra-stress model (AESM) proposed by G. Mompean [2] are presented in this work. In order to evaluate the perform of the AESM and show that it can cope with complex flows, two problems are studied: fully developed channel flow and the flow through a 4:1 planar contraction at low Reynolds number. The governing equations are solved using a Marker-and-Cell type method on a staggered grid [3]. The momentum equation is integrated by the implicit scheme while the algebraic PTT equation is solved explicitly by a forward Euler method. The accuracy of the numerical method is verified by comparing numerical results of fully-developed channel flow with the corresponding analytic solutions. The planar contraction problem is employed to assess whether the algebraic model is able to predict the viscoelastic flow displaying the same behavior of the differential PTT model. Moreover, to show the advantages of the algebraic extra-stress model (AESM) over the differential PTT model, a study of the computational effort has been carried out. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-01-01 2020-12-10T16:55:55Z 2020-12-10T16:55:55Z |
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 |
11th World Congress On Computational Mechanics; 5th European Conference On Computational Mechanics; 6th European Conference On Computational Fluid Dynamics, Vols V - Vi. 08034 Barcelona: Int Center Numerical Methods Engineering, p. 7113-7123, 2014. http://hdl.handle.net/11449/194831 WOS:000485094604011 |
identifier_str_mv |
11th World Congress On Computational Mechanics; 5th European Conference On Computational Mechanics; 6th European Conference On Computational Fluid Dynamics, Vols V - Vi. 08034 Barcelona: Int Center Numerical Methods Engineering, p. 7113-7123, 2014. WOS:000485094604011 |
url |
http://hdl.handle.net/11449/194831 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
11th World Congress On Computational Mechanics; 5th European Conference On Computational Mechanics; 6th European Conference On Computational Fluid Dynamics, Vols V - Vi |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
7113-7123 |
dc.publisher.none.fl_str_mv |
Int Center Numerical Methods Engineering |
publisher.none.fl_str_mv |
Int Center Numerical Methods Engineering |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1808128324094918656 |