Numerical study of the stress singularity in stick-slip flow of the Phan-Thien Tanner and Giesekus fluids

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dc.contributor.authorEvans, J. D.
dc.contributor.authorCuminato, J. A.
dc.contributor.authorPalhares Junior, I. L.
dc.contributor.authorOishi, C. M. [UNESP]
dc.contributor.institutionUniv Bath
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-10T19:38:04Z
dc.date.available2020-12-10T19:38:04Z
dc.date.issued2019-09-01
dc.description.abstractStick-slip flow is a challenging viscoelastic benchmark problem due to the presence of a separation or transition point at the die exit where a sudden change in flow boundary conditions occurs. We present numerical simulations of transient planar stick-slip flow of the Phan-Thien-Tanner (PTT) and Giesekus fluids, investigating the polymer stress behavior around the stress singularity at the stick-slip point, confirming the asymptotic results presented by Evans et al. [Stresses of the Oldroyd-B, PTT and Giesekus fluids in a Newtonian velocity field near the stick-slip singularity, Phys. Fluids 29, 1-33 (2017)]. In order to improve the numerical knowledge about this viscoelastic benchmark problem, two distinct mathematical methodologies are used for comparison in the computational simulations: the Cartesian and natural stress formulations. The former is widely applied in computational rheology, while the latter is used for the first time in the context of this problem. The natural stress formulation gives improved convergence results both temporally and spatially near to the singularity while maintaining the same global flow characteristics as the Cartesian.en
dc.description.affiliationUniv Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
dc.description.affiliationUniv Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, BR-13566590 Sao Carlos, SP, Brazil
dc.description.affiliationUniv Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipBEPE
dc.description.sponsorshipIdFAPESP: 2018/22242-0
dc.description.sponsorshipIdCNPq: 307459/2016-0
dc.description.sponsorshipIdFAPESP: 2013/07375-0
dc.description.sponsorshipIdFAPESP: 2014/17348-2
dc.description.sponsorshipIdBEPE: 2016/20389-8
dc.format.extent30
dc.identifierhttp://dx.doi.org/10.1063/1.5100730
dc.identifier.citationPhysics Of Fluids. Melville: Amer Inst Physics, v. 31, n. 9, 30 p., 2019.
dc.identifier.doi10.1063/1.5100730
dc.identifier.issn1070-6631
dc.identifier.urihttp://hdl.handle.net/11449/196235
dc.identifier.wosWOS:000489883500053
dc.language.isoeng
dc.publisherAmer Inst Physics
dc.relation.ispartofPhysics Of Fluids
dc.sourceWeb of Science
dc.titleNumerical study of the stress singularity in stick-slip flow of the Phan-Thien Tanner and Giesekus fluidsen
dc.typeArtigo
dcterms.rightsHolderAmer Inst Physics
unesp.author.lattes8671745801940831[4]
unesp.author.orcid0000-0002-0904-6561[4]

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