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Reduced-stress method for efficient computation of time-dependent viscoelastic flow with stress equations of FENE-P type

dc.contributor.authorOliveira, P.J.
dc.date.accessioned2021-01-19T15:17:50Z
dc.date.available2021-01-19T15:17:50Z
dc.date.issued2017
dc.description.abstractMost calculation procedures for time-dependent viscoelastic flows require iteration within the time step used to advance the solution, in order to satisfy simultaneously the momentum and the constitutive equations for each stress component. We have devised a way of reformulating the constitutive equation for the FENE-P model, or models described by similar equations expressed in terms of the stress tensor, which enables iterative methods for simulating time-dependent viscoelastic flows to become much more efficient: the number of iterations to obtain a solution with the reformulated stress equations is substantially smaller (by a factor of 5–10) than with a comparable method applied to the original, non- reformulated, constitutive equations. The proposed reformulation is rather simple and consists in considering as dependent variables the reduced stresses obtained by dividing the stress components by the extensibility function of the model. It is tested with three problems of increasing complexity, start-up of channel and square-duct flows, and start-up of a rotating duct flow.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.jnnfm.2017.09.001pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/11046
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.subjectTime-dependent viscoelastic flowspt_PT
dc.subjectNumerical methodpt_PT
dc.subjectStress equationspt_PT
dc.subjectFene-P typept_PT
dc.subjectRotating ductpt_PT
dc.subjectCoriolis effectspt_PT
dc.subjectComputational rheologypt_PT
dc.titleReduced-stress method for efficient computation of time-dependent viscoelastic flow with stress equations of FENE-P typept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage91pt_PT
oaire.citation.startPage74pt_PT
oaire.citation.titleJournal of Non-Newtonian Fluid Mechanicspt_PT
oaire.citation.volume248pt_PT
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.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationf4a5da68-73fb-4a8b-9418-669d76d75f39
relation.isAuthorOfPublication.latestForDiscoveryf4a5da68-73fb-4a8b-9418-669d76d75f39

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