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/11449/167778 |
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 modelAlgebraic and differential PTT modelCPU timePlanar contractionViscoelastic flowsNumerical 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.Faculdade de Ciências e Tecnologia (FCT), UNESP - Univ Estadual Paulista, Campus de Presidente Prudente, Rua Roberto Simonsen 305Université des Sciences et Technologies de Lille PolytechLille, Laboratoire de Mécanique de Lille, URM-CNRS, 8107 Cité ScientifiqueFaculdade de Ciências e Tecnologia (FCT), UNESP - Univ Estadual Paulista, Campus de Presidente Prudente, Rua Roberto Simonsen 305Universidade Estadual Paulista (Unesp)Université des Sciences et Technologies de Lille PolytechLille, Laboratoire de Mécanique de Lille, URM-CNRSDolci, Daiane I. [UNESP]Paulo, Gilcilene S. [UNESP]Mompean, Gilmar2018-12-11T16:38:17Z2018-12-11T16:38:17Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject7113-712311th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, p. 7113-7123.http://hdl.handle.net/11449/1677782-s2.0-84924007615Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014info:eu-repo/semantics/openAccess2021-10-23T21:47:05Zoai:repositorio.unesp.br:11449/167778Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:47:05Repositório 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] Algebraic and differential PTT model CPU time Planar contraction Viscoelastic flows |
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 |
author_role |
author |
author2 |
Paulo, Gilcilene S. [UNESP] Mompean, Gilmar |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Université des Sciences et Technologies de Lille PolytechLille, Laboratoire de Mécanique de Lille, URM-CNRS |
dc.contributor.author.fl_str_mv |
Dolci, Daiane I. [UNESP] Paulo, Gilcilene S. [UNESP] Mompean, Gilmar |
dc.subject.por.fl_str_mv |
Algebraic and differential PTT model CPU time Planar contraction Viscoelastic flows |
topic |
Algebraic and differential PTT model CPU time Planar contraction Viscoelastic flows |
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 2018-12-11T16:38:17Z 2018-12-11T16:38:17Z |
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, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, p. 7113-7123. http://hdl.handle.net/11449/167778 2-s2.0-84924007615 |
identifier_str_mv |
11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, p. 7113-7123. 2-s2.0-84924007615 |
url |
http://hdl.handle.net/11449/167778 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014 |
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.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_ |
1799965303122165760 |