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Plane contraction flows of upper convected Maxwell and phan-ThienTanner fluids as predicted by a finite-volume method

1999Journal article Open access
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dc.contributor.authorOliveira, Paulo J.
dc.contributor.authorPinho, Fernando
dc.date.accessioned2010-04-28T10:07:36Z
dc.date.available2010-04-28T10:07:36Z
dc.date.issued1999
dc.description.abstractA finite-volume (FV) procedure is applied to the prediction of two-dimensional (2-D) laminar flow through a 4 : 1 planar contraction of upper convected Maxwell (UCM) and simplified Phan-Thien±Tanner (SPTT) fluids. The method incorporates general coordinates, indirect addressing for easy mapping of complex domains, and is based on the collocated mesh arrangement. Calculations with the UCM model at a Reynolds number of 0.01 were carried out with three consecutively refined meshes which enabled the estimation of the accuracy of the predictions of the main vortex characteristics through Richardson's extrapolation. Converged solutions with the first-order upwind differencing scheme for the convective terms were obtained up to at least De à 8 in the finest mesh, but were limited to De 1, De 3 and De 5 for the fine, medium and coarse meshes, respectively, when using the second-order linear upwind scheme. The predicted flow patterns for increasing Deborah numbers with the UCM model resemble the well known lip vortex enhancement mechanism reported in the literature for constant-viscosity fluids in axisymmetric contractions and shear-thinning fluids in planar contraction, but very fine meshes were required in order to capture the described vortex activity. Predictions with the SPTT model also compared well with the behaviour reported in the literature.pt
dc.identifier.urihttp://hdl.handle.net/10400.6/642
dc.languageeng
dc.subjectSudden contractionpt
dc.subjectViscoelasticpt
dc.subjectCollocated meshpt
dc.subjectFinite-volumept
dc.subjectLip vortexpt
dc.titlePlane contraction flows of upper convected Maxwell and phan-ThienTanner fluids as predicted by a finite-volume methodpt
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issueVol. 88, No. 1-2, pp. 63-88.pt
oaire.citation.titleJournal of Non-Newtonian Fluid Mechanicspt
person.familyNameOliveira
person.familyNamePinho
person.givenNamePaulo J.
person.givenNameFernando
person.identifier.ciencia-id7A15-7012-C5DF
person.identifier.orcid0000-0001-9843-7558
person.identifier.orcid0000-0002-9576-4622
person.identifier.ridA-4638-2009
person.identifier.ridD-1035-2011
person.identifier.scopus-author-id24280605700
person.identifier.scopus-author-id7006647306
rcaap.rightsopenAccess
rcaap.typearticlept
relation.isAuthorOfPublicationf4a5da68-73fb-4a8b-9418-669d76d75f39
relation.isAuthorOfPublication9933e255-01c8-4867-9506-18a649153d8e
relation.isAuthorOfPublication.latestForDiscovery9933e255-01c8-4867-9506-18a649153d8e

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