A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows

Detalhes bibliográficos
Autor(a) principal: Tomé, Murilo Francisco
Data de Publicação: 2016
Outros Autores: Bertoco, Juliana, Oishi, Cassio Machiaveli, Araújo, Manoel Silvino Batalha de, Cruz, Daniel Onofre de Almeida, Pinho, Fernando Tavares de, Vynnycky, Michael
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8422
Resumo: Indisponível.
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spelling Tomé, Murilo FranciscoBertoco, JulianaOishi, Cassio MachiaveliAraújo, Manoel Silvino Batalha deCruz, Daniel Onofre de AlmeidaPinho, Fernando Tavares deVynnycky, Michael2019-06-11T16:53:34Z2023-11-30T03:03:30Z2016-01-290021-9991http://hdl.handle.net/11422/842210.1016/j.jcp.2016.01.032Indisponível.This work is concerned with the numerical solution of the K-BKZ integral constitutive equation for two-dimensional time-dependent free surface flows. The numerical method proposed herein is a finite difference technique for simulating flows possessing moving surfaces that can interact with solid walls. The main characteristics of the methodology employed are: the momentum and mass conservation equations are solved by an implicit method; the pressure boundary condition on the free surface is implicitly coupled with the Poisson equation for obtaining the pressure field from mass conservation; a novel scheme for defining the past times is employed; the Finger tensor is calculated by the deformation fields method and is advanced in time by a second-order Runge–Kutta method. This new technique is verified by solving shear and uniaxial elongational flows. Furthermore, an analytic solution for fully developed channel flow is obtained that is employed in the verification and assessment of convergence with mesh refinement of the numerical solution. For free surface flows, the assessment of convergence with mesh refinement relies on a jet impinging on a rigid surface and a comparison of the simulation of a extrudate swell problem studied by Mitsoulis (2010) [44] was performed. Finally, the new code is used to investigate in detail the jet buckling phenomenon of K-BKZ fluids.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-06-11T16:53:34Z No. of bitstreams: 1 5-2016_A-finite-difference-technique-for-solving-a-time-strain-separable-min.pdf: 1154074 bytes, checksum: 7fd288f726c2368cd9795b0bd9a54707 (MD5)Made available in DSpace on 2019-06-11T16:53:34Z (GMT). No. of bitstreams: 1 5-2016_A-finite-difference-technique-for-solving-a-time-strain-separable-min.pdf: 1154074 bytes, checksum: 7fd288f726c2368cd9795b0bd9a54707 (MD5) Previous issue date: 2016-01-29engElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosJournal of Computational PhysicsCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSIntegral K-BKZ constitutive equationDeformation fieldsImplicit methodFinite differenceAnalytic solution in channel flowFree surfaceJet bucklingA finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flowsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article311114141365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL5-2016_A-finite-difference-technique-for-solving-a-time-strain-separable-min.pdf5-2016_A-finite-difference-technique-for-solving-a-time-strain-separable-min.pdfapplication/pdf1154074http://pantheon.ufrj.br:80/bitstream/11422/8422/1/5-2016_A-finite-difference-technique-for-solving-a-time-strain-separable-min.pdf7fd288f726c2368cd9795b0bd9a54707MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8422/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/84222023-11-30 00:03:30.482oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:30Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
title A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
spellingShingle A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
Tomé, Murilo Francisco
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Integral K-BKZ constitutive equation
Deformation fields
Implicit method
Finite difference
Analytic solution in channel flow
Free surface
Jet buckling
title_short A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
title_full A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
title_fullStr A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
title_full_unstemmed A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
title_sort A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
author Tomé, Murilo Francisco
author_facet Tomé, Murilo Francisco
Bertoco, Juliana
Oishi, Cassio Machiaveli
Araújo, Manoel Silvino Batalha de
Cruz, Daniel Onofre de Almeida
Pinho, Fernando Tavares de
Vynnycky, Michael
author_role author
author2 Bertoco, Juliana
Oishi, Cassio Machiaveli
Araújo, Manoel Silvino Batalha de
Cruz, Daniel Onofre de Almeida
Pinho, Fernando Tavares de
Vynnycky, Michael
author2_role author
author
author
author
author
author
dc.contributor.author.fl_str_mv Tomé, Murilo Francisco
Bertoco, Juliana
Oishi, Cassio Machiaveli
Araújo, Manoel Silvino Batalha de
Cruz, Daniel Onofre de Almeida
Pinho, Fernando Tavares de
Vynnycky, Michael
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Integral K-BKZ constitutive equation
Deformation fields
Implicit method
Finite difference
Analytic solution in channel flow
Free surface
Jet buckling
dc.subject.eng.fl_str_mv Integral K-BKZ constitutive equation
Deformation fields
Implicit method
Finite difference
Analytic solution in channel flow
Free surface
Jet buckling
description Indisponível.
publishDate 2016
dc.date.issued.fl_str_mv 2016-01-29
dc.date.accessioned.fl_str_mv 2019-06-11T16:53:34Z
dc.date.available.fl_str_mv 2023-11-30T03:03:30Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11422/8422
dc.identifier.issn.pt_BR.fl_str_mv 0021-9991
dc.identifier.doi.pt_BR.fl_str_mv 10.1016/j.jcp.2016.01.032
identifier_str_mv 0021-9991
10.1016/j.jcp.2016.01.032
url http://hdl.handle.net/11422/8422
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Journal of Computational Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8422/1/5-2016_A-finite-difference-technique-for-solving-a-time-strain-separable-min.pdf
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