A finite difference technique for solving a time strain separable K-BKZ constitutive equation for two-dimensional moving free surface flows
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Data de Publicação: | 2016 |
Outros Autores: | , , , , , |
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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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 |
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Universidade Federal do Rio de Janeiro (UFRJ) |
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UFRJ |
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UFRJ |
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Repositório Institucional da UFRJ |
collection |
Repositório Institucional da UFRJ |
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