Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.jnnfm.2010.11.001 http://hdl.handle.net/11449/7130 |
Resumo: | In this paper we present a finite difference method for solving two-dimensional viscoelastic unsteady free surface flows governed by the single equation version of the eXtended Pom-Pom (XPP) model. The momentum equations are solved by a projection method which uncouples the velocity and pressure fields. We are interested in low Reynolds number flows and, to enhance the stability of the numerical method, an implicit technique for computing the pressure condition on the free surface is employed. This strategy is invoked to solve the governing equations within a Marker-and-Cell type approach while simultaneously calculating the correct normal stress condition on the free surface. The numerical code is validated by performing mesh refinement on a two-dimensional channel flow. Numerical results include an investigation of the influence of the parameters of the XPP equation on the extrudate swelling ratio and the simulation of the Barus effect for XPP fluids. (C) 2010 Elsevier B.V. All rights reserved. |
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Repositório Institucional da UNESP |
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Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flowsFree surface flowsImplicit techniquesViscoelastic fluidsPom-Pom modelFinite difference methodExtrudate swellIn this paper we present a finite difference method for solving two-dimensional viscoelastic unsteady free surface flows governed by the single equation version of the eXtended Pom-Pom (XPP) model. The momentum equations are solved by a projection method which uncouples the velocity and pressure fields. We are interested in low Reynolds number flows and, to enhance the stability of the numerical method, an implicit technique for computing the pressure condition on the free surface is employed. This strategy is invoked to solve the governing equations within a Marker-and-Cell type approach while simultaneously calculating the correct normal stress condition on the free surface. The numerical code is validated by performing mesh refinement on a two-dimensional channel flow. Numerical results include an investigation of the influence of the parameters of the XPP equation on the extrudate swelling ratio and the simulation of the Barus effect for XPP fluids. (C) 2010 Elsevier B.V. All rights reserved.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Royal Society of EdinburghUniv Estadual Paulista, Dept Matemat Estat & Computacao, Presidente Prudente, BrazilUniv São Paulo, Dept Appl Math & Stat, São Carlos, SP, BrazilUniv Strathclyde, Dept Math & Stat, Glasgow, Lanark, ScotlandUniv Estadual Paulista, Dept Matemat Estat & Computacao, Presidente Prudente, BrazilFAPESP: 04/16064-9FAPESP: 09/15892-9CNPq: 304422/2007-0CNPq: 470764/2007-4CNPq: 477858/2009-0Elsevier B.V.Universidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Univ StrathclydeOishi, C. M. [UNESP]Martins, F. P. [UNESP]Tome, M. F.Cuminato, J. A.McKee, S.2014-05-20T13:23:35Z2014-05-20T13:23:35Z2011-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article165-179application/pdfhttp://dx.doi.org/10.1016/j.jnnfm.2010.11.001Journal of Non-newtonian Fluid Mechanics. Amsterdam: Elsevier B.V., v. 166, n. 3-4, p. 165-179, 2011.0377-0257http://hdl.handle.net/11449/713010.1016/j.jnnfm.2010.11.001WOS:000287427000001WOS000287427000001.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Non-Newtonian Fluid Mechanics2.2931,140info:eu-repo/semantics/openAccess2023-11-17T06:13:43Zoai:repositorio.unesp.br:11449/7130Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-11-17T06:13:43Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows |
title |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows |
spellingShingle |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows Oishi, C. M. [UNESP] Free surface flows Implicit techniques Viscoelastic fluids Pom-Pom model Finite difference method Extrudate swell |
title_short |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows |
title_full |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows |
title_fullStr |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows |
title_full_unstemmed |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows |
title_sort |
Numerical solution of the eXtended Pom-Pom model for viscoelastic free surface flows |
author |
Oishi, C. M. [UNESP] |
author_facet |
Oishi, C. M. [UNESP] Martins, F. P. [UNESP] Tome, M. F. Cuminato, J. A. McKee, S. |
author_role |
author |
author2 |
Martins, F. P. [UNESP] Tome, M. F. Cuminato, J. A. McKee, S. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Universidade de São Paulo (USP) Univ Strathclyde |
dc.contributor.author.fl_str_mv |
Oishi, C. M. [UNESP] Martins, F. P. [UNESP] Tome, M. F. Cuminato, J. A. McKee, S. |
dc.subject.por.fl_str_mv |
Free surface flows Implicit techniques Viscoelastic fluids Pom-Pom model Finite difference method Extrudate swell |
topic |
Free surface flows Implicit techniques Viscoelastic fluids Pom-Pom model Finite difference method Extrudate swell |
description |
In this paper we present a finite difference method for solving two-dimensional viscoelastic unsteady free surface flows governed by the single equation version of the eXtended Pom-Pom (XPP) model. The momentum equations are solved by a projection method which uncouples the velocity and pressure fields. We are interested in low Reynolds number flows and, to enhance the stability of the numerical method, an implicit technique for computing the pressure condition on the free surface is employed. This strategy is invoked to solve the governing equations within a Marker-and-Cell type approach while simultaneously calculating the correct normal stress condition on the free surface. The numerical code is validated by performing mesh refinement on a two-dimensional channel flow. Numerical results include an investigation of the influence of the parameters of the XPP equation on the extrudate swelling ratio and the simulation of the Barus effect for XPP fluids. (C) 2010 Elsevier B.V. All rights reserved. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-02-01 2014-05-20T13:23:35Z 2014-05-20T13:23:35Z |
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/10.1016/j.jnnfm.2010.11.001 Journal of Non-newtonian Fluid Mechanics. Amsterdam: Elsevier B.V., v. 166, n. 3-4, p. 165-179, 2011. 0377-0257 http://hdl.handle.net/11449/7130 10.1016/j.jnnfm.2010.11.001 WOS:000287427000001 WOS000287427000001.pdf |
url |
http://dx.doi.org/10.1016/j.jnnfm.2010.11.001 http://hdl.handle.net/11449/7130 |
identifier_str_mv |
Journal of Non-newtonian Fluid Mechanics. Amsterdam: Elsevier B.V., v. 166, n. 3-4, p. 165-179, 2011. 0377-0257 10.1016/j.jnnfm.2010.11.001 WOS:000287427000001 WOS000287427000001.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Non-Newtonian Fluid Mechanics 2.293 1,140 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
165-179 application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
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_ |
1799964971444994048 |