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Numerical and analytical modeling of unsteady viscoelastic flows: the start-up and pulsating test case problems

dc.contributor.authorDuarte, A. S. R.pt
dc.contributor.authorMiranda, Amílcar I. P.pt
dc.contributor.authorOliveira, Paulo J.
dc.date.accessioned2010-04-28T10:07:36Z
dc.date.available2010-04-28T10:07:36Z
dc.date.issued2008
dc.description.abstractIn this paper two test cases adequate for the assessment of viscoelastic flow codes under unsteady flow conditions are investigated. For one of them an analytical solution is also derived. First, the start-up of planar Poiseuille flow between two parallel plates was tackled. For upper-convected Maxwell and Oldroyd-B models there exist analytical solutions making it possible to evaluate exactly the discretization errors of the transient numerical method. Good agreement was found between the present numerical results and those analytical solutions, especially for “shock” propagation. For the UCM fluid, small numerical oscillations were observed at points where the time derivative of velocity was discontinuous, but for the Oldroyd-B fluid a smooth development of the transient evolution was obtained. Results with the PTT model without solvent viscosity and the FENE fluids were also obtained and, as expected, the behaviour was similar to that found for the UCM and Oldroyd-B fluids, respectively. Then, a pulsating flowproblemwas studied. In this test case the flow is generated by a periodic ressure gradient superimposed on a constant Poiseuille flow. The analytical solution for pulsatile Oldroyd-B flow in a channel was derived as part of the work and, again, difficulties in obtaining accurate numerical solutions with the UCM model were encountered, being necessary to employ extremely refined meshes. For the Oldroyd-B fluid no difficulties were found and the accuracy tended to improve with larger solvent viscosity parameter.pt
dc.identifier.urihttp://hdl.handle.net/10400.6/644
dc.languageeng
dc.subjectTime-dependent viscoelastic flowspt
dc.subjectOscillating flowpt
dc.subjectStart-up flowpt
dc.subjectAnalytical solution.pt
dc.titleNumerical and analytical modeling of unsteady viscoelastic flows: the start-up and pulsating test case problemspt
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issueVol. 154, No. , pp. 153-169pt
oaire.citation.titleJournal of Non-Newtonian Fluid Mechanicspt
person.familyNameOliveira
person.givenNamePaulo J.
person.identifier.ciencia-id7A15-7012-C5DF
person.identifier.orcid0000-0001-9843-7558
person.identifier.ridA-4638-2009
person.identifier.scopus-author-id24280605700
rcaap.rightsopenAccess
rcaap.typearticlept
relation.isAuthorOfPublicationf4a5da68-73fb-4a8b-9418-669d76d75f39
relation.isAuthorOfPublication.latestForDiscoveryf4a5da68-73fb-4a8b-9418-669d76d75f39

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