Application of the PTT Model to Axisymmetric Free Surface Flows

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dc.contributor.authorMerejolli, R. [UNESP]
dc.contributor.authorPaulo, G. S. [UNESP]
dc.contributor.authorTome, M. F.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-12-03T13:11:41Z
dc.date.available2014-12-03T13:11:41Z
dc.date.issued2013-01-01
dc.description.abstractThis work is concerned with numerical simulation of axisymmetric viscoelastic free surface flows using the Phan-Thien-Tanner (PTT) constitutive equation. A finite difference technique for solving the governing equations for unsteady incompressible flows written in Cylindrical coordinates on a staggered grid is described. The fluid is modelled by a Marker-and-Cell type method and an accurate representation of the fluid surface is employed. The full free surface stress conditions are applied. The numerical method is verified by comparing numerical predictions of fully developed flow in a pipe with the corresponding analytic solutions. To demonstrate that the numerical method can simulate axisymmetric free surface flows governed by the PTT model, numerical results of the flow evolution of a drop impacting on a rigid dry plate are presented. In these simulations, the rheological effects of the parameters epsilon and xi are investigated.en
dc.description.affiliationUniv Estadual Paulista, UNESP, Dept Matemat & Comp, Presidente Prudente, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, Dept Matemat & Comp, Presidente Prudente, SP, Brazil
dc.format.extent220-223
dc.identifierhttp://dx.doi.org/10.1063/1.4825460
dc.identifier.citation11th International Conference Of Numerical Analysis And Applied Mathematics 2013, Pts 1 And 2 (icnaam 2013). Melville: Amer Inst Physics, v. 1558, p. 220-223, 2013.
dc.identifier.doi10.1063/1.4825460
dc.identifier.issn0094-243X
dc.identifier.lattes5783566438646841
dc.identifier.urihttp://hdl.handle.net/11449/113410
dc.identifier.wosWOS:000331472800053
dc.language.isoeng
dc.publisherAmer Inst Physics
dc.relation.ispartof11th International Conference Of Numerical Analysis And Applied Mathematics 2013, Pts 1 And 2 (icnaam 2013)
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectPTT modelen
dc.subjectaxisymmetric flowsen
dc.subjectfree surfaceen
dc.subjectfinite differenceen
dc.subjectmarker-and-cellen
dc.titleApplication of the PTT Model to Axisymmetric Free Surface Flowsen
dc.typeTrabalho apresentado em evento
dcterms.rightsHolderAmer Inst Physics
unesp.author.lattes5783566438646841
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Ciências e Tecnologia, Presidente Prudentept

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Artigos - Matemática e Computação - FCT