Different formulations to solve the giesekus model for flow between two parallel plates

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dc.contributor.authorda Silva Furlan, Laison Junio
dc.contributor.authorde Araujo, Matheus Tozo
dc.contributor.authorBrandi, Analice Costacurta [UNESP]
dc.contributor.authorde Almeida Cruz, Daniel Onofre
dc.contributor.authorde Souza, Leandro Franco
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionFederal University of Rio de Janeiro
dc.date.accessioned2022-05-01T09:47:31Z
dc.date.available2022-05-01T09:47:31Z
dc.date.issued2021-11-01
dc.description.abstractThis work presents different formulations to obtain the solution for the Giesekus constitutive model for a flow between two parallel plates. The first one is the formulation based on work by Schleiniger, G; Weinacht, R.J., [Journal of Non-Newtonian Fluid Mechanics, 40, 79–102 (1991)]. The second formulation is based on the concept of changing the independent variable to obtain the solution of the fluid flow components in terms of this variable. This change allows the flow components to be obtained analytically, with the exception of the velocity profile, which is obtained using a high-order numerical integration method. The last formulation is based on the numerical simulation of the governing equations using high-order approximations. The results show that each formulation presented has advantages and disadvantages, and it was investigated different viscoelastic fluid flows by varying the dimensionless parameters, considering purely polymeric fluid flow, closer to purely polymeric fluid flow, solvent contribution on the mixture of fluid, and high Weissenberg numbers.en
dc.description.affiliationDepartment of Applied Mathematics and Statistics University of Sao Paulo
dc.description.affiliationDepartment of Mathematics and Computer Science Sao Paulo State University
dc.description.affiliationDepartment of Mechanical Engineering Federal University of Rio de Janeiro
dc.description.affiliationUnespDepartment of Mathematics and Computer Science Sao Paulo State University
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipIdFAPESP: 2013/07375-0
dc.identifierhttp://dx.doi.org/10.3390/app112110115
dc.identifier.citationApplied Sciences (Switzerland), v. 11, n. 21, 2021.
dc.identifier.doi10.3390/app112110115
dc.identifier.issn2076-3417
dc.identifier.scopus2-s2.0-85118135694
dc.identifier.urihttp://hdl.handle.net/11449/233751
dc.language.isoeng
dc.relation.ispartofApplied Sciences (Switzerland)
dc.sourceScopus
dc.subjectExact solution
dc.subjectFlow between two parallel plates
dc.subjectGiesekus model
dc.subjectHigh Weissenberg number
dc.subjectHigh-order approximations
dc.subjectNumerical solution
dc.titleDifferent formulations to solve the giesekus model for flow between two parallel platesen
dc.typeArtigo

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Artigos - Matemática e Computação - FCT