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The log-conformation tensor approach in the finite-volume method framework

2009Journal article Open access
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dc.contributor.authorAfonso, A. M.
dc.contributor.authorOliveira, Paulo J.
dc.contributor.authorPinho, Fernando
dc.contributor.authorAlves, M. A.
dc.date.accessioned2010-04-28T10:07:37Z
dc.date.available2010-04-28T10:07:37Z
dc.date.issued2009
dc.description.abstractThe log-conformation formulation, proposed by Fattal and Kupferman [J. Non-Newt. Fluid Mech. 123 (2004) 281], has helped to provide further insights into the High-Weissenberg Number Problem. In this work, we investigate the performance of the log-conformation formulation in the Finite Volume Method (FVM) framework for creeping flows of viscoelastic fluids in steady and unsteady flows around a confined cylinder. The Oldroyd-B and Phan-Thien–Tanner (PTT) constitutive equations were used to assess the effect of different rheological behaviour on the flow patterns and solution stability. The calculation of the polymer stress contribution is carried out with both the standard technique and with the logconformation methodology. For all test cases, up to the critical conditions when both methods converge to a steady solution, the use of the log-conformation technique provides solutions with similar accuracy as the standard approach. In terms of stability the log-conformation formulation is found to be significantly more robust, and solutions could be obtained at higher Deborah number flows.pt
dc.identifier.doi10.1016/j.jnnfm.2008.09.007
dc.identifier.urihttp://hdl.handle.net/10400.6/647
dc.languageeng
dc.subjectFinite-volume methodpt
dc.subjectLog-conformation tensorpt
dc.subjectViscoelastic fluidpt
dc.subjectCylinder flowpt
dc.titleThe log-conformation tensor approach in the finite-volume method frameworkpt
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issueVol. 157, pp. 55–65pt
oaire.citation.titleJournal of Non-Newtonian Fluid Mechanicspt
person.familyNameAfonso
person.familyNameOliveira
person.familyNamePinho
person.familyNameAlves
person.givenNameAlexandre
person.givenNamePaulo J.
person.givenNameFernando
person.givenNameManuel
person.identifier.ciencia-id301B-AB43-101C
person.identifier.ciencia-id7A15-7012-C5DF
person.identifier.ciencia-id3810-FB97-01DB
person.identifier.orcid0000-0003-2825-0709
person.identifier.orcid0000-0001-9843-7558
person.identifier.orcid0000-0002-9576-4622
person.identifier.orcid0000-0001-6585-6609
person.identifier.ridD-1405-2011
person.identifier.ridA-4638-2009
person.identifier.ridD-1035-2011
person.identifier.ridA-9394-2008
person.identifier.scopus-author-id35588804400
person.identifier.scopus-author-id24280605700
person.identifier.scopus-author-id7006647306
person.identifier.scopus-author-id26040459500
rcaap.rightsopenAccess
rcaap.typearticlept
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relation.isAuthorOfPublication.latestForDiscoveryf4a5da68-73fb-4a8b-9418-669d76d75f39

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