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Numerical procedure for the computation of fluid flow with arbitrary stress-strain relationships

dc.contributor.authorOliveira, Paulo J.
dc.contributor.authorPinho, Fernando
dc.date.accessioned2010-04-28T10:07:13Z
dc.date.available2010-04-28T10:07:13Z
dc.date.issued1999
dc.description.abstractA finite-volume method is presented that allows for general stress-strain constitutive equations to be incorporated into a standard momentum± pressure-correction procedure. The method is sequential and segregated in nature, the various equations for mass and momentum conservation and for the evolution of the stress tensor are solved following a predefined order, and one of its features is the use of nonstaggered, and generally nonorthogonal, computational meshes. Two types of constitutive equations are used to test the method: the standard explicit and algebraic Newtonian model, and one of the simplest implicit differential equations, the upper-convected Maxwell model. In spite of its apparent simplicity, this latter model is known to pose the most severe numerical difficulties. However, the results in this article show the method to be effective in solving the equations for the flow of Newtonian and viscoelastic fluids through abrupt planar contractions with an area reduction of 4 to 1, one typical benchmark problem. The results are compared with available data and with solutions from a standard and validated code, and good agreement and consistency is found. A new formulation to evaluate stresses at cell faces is presented and shown to lead to improved results.pt
dc.identifier.urihttp://hdl.handle.net/10400.6/590
dc.languageeng
dc.subjectFinite-volumept
dc.subjectComputational rheologypt
dc.subjectViscoelasticpt
dc.subjectContractionpt
dc.titleNumerical procedure for the computation of fluid flow with arbitrary stress-strain relationshipspt
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issueVol. 35, No .3, pp. 295-315pt
oaire.citation.titleNumerical Heat Transfer, Part B: Fundamentalspt
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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