A two-phase solver for complex fluids: Studies of the Weissenberg effect
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.ijmultiphaseflow.2016.04.014 http://hdl.handle.net/11449/161712 |
Resumo: | In this work a new two-phase solver is presented and described, with a particular interest in the solution of highly elastic flows of viscoelastic fluids. The proposed code is based on a combination of classical Volume-of-Fluid and Continuum Surface Force methods, along with a generic kernel-conformation tensor transformation to represent the rheological characteristics of the (multi)-fluid phases. Benchmark test problems are solved in order to assess the numerical accuracy of distinct levels of physical complexities; such as the interface representation, the influence of advection schemes, the influence of surface tension and the role of fluid rheology. In order to demonstrate the new features and capabilities of the solver in simulating of complex fluids in transient regime, we have performed a set of simulations for the problem of a rotating rod inserted into a container with a viscoelastic fluid, known as the Weissenberg or Rod Climbing effect. Firstly, our results are compared with numerical and experimental data from the literature for low angular velocities. Secondly, we have presented results obtained for high angular velocities (high elasticity) using the Oldroyd-B model which displayed very, elevated climbing heights. Furthermore, above a critical value for the angular velocity, it was observed the onset of elastic instabilities driven by the combination of elastic stresses, interfacial curvature and secondary flows, that to the authors best knowledge, were not yet reported in the literature. (C) 2016 Elsevier Ltd. All rights reserved. |
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A two-phase solver for complex fluids: Studies of the Weissenberg effectTwo-phase solverViscoelastic flowFinite difference methodVolume-of-FluidWeissenberg effectIn this work a new two-phase solver is presented and described, with a particular interest in the solution of highly elastic flows of viscoelastic fluids. The proposed code is based on a combination of classical Volume-of-Fluid and Continuum Surface Force methods, along with a generic kernel-conformation tensor transformation to represent the rheological characteristics of the (multi)-fluid phases. Benchmark test problems are solved in order to assess the numerical accuracy of distinct levels of physical complexities; such as the interface representation, the influence of advection schemes, the influence of surface tension and the role of fluid rheology. In order to demonstrate the new features and capabilities of the solver in simulating of complex fluids in transient regime, we have performed a set of simulations for the problem of a rotating rod inserted into a container with a viscoelastic fluid, known as the Weissenberg or Rod Climbing effect. Firstly, our results are compared with numerical and experimental data from the literature for low angular velocities. Secondly, we have presented results obtained for high angular velocities (high elasticity) using the Oldroyd-B model which displayed very, elevated climbing heights. Furthermore, above a critical value for the angular velocity, it was observed the onset of elastic instabilities driven by the combination of elastic stresses, interfacial curvature and secondary flows, that to the authors best knowledge, were not yet reported in the literature. (C) 2016 Elsevier Ltd. All rights reserved.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundacao para a Ciencia e a Tecnologia (FCT), PortugalUniv Sao Paulo, ICMC, Ave Trabalhador Sao Carlense 400, Sao Carlos, SP, BrazilUniv Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP, BrazilUniv Porto, Fac Engn, CEFT, Rua Dr Roberto Frias S-N, P-4200465 Oporto, PortugalUniv Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP, BrazilFAPESP: 2013/07375-0FAPESP: 2011/09194-7FAPESP: 2015/04548-6CNPq: 309514/2013-4CNPq: 473589/2013-3Fundacao para a Ciencia e a Tecnologia (FCT), Portugal: SFRH/BPD/75436/2010Elsevier B.V.Universidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Univ PortoFigueiredo, R. A.Oishi, C. M. [UNESP]Afonso, A. M.Tasso, I. V. M.Cuminato, J. A.2018-11-26T16:48:20Z2018-11-26T16:48:20Z2016-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article98-115application/pdfhttp://dx.doi.org/10.1016/j.ijmultiphaseflow.2016.04.014International Journal Of Multiphase Flow. Oxford: Pergamon-elsevier Science Ltd, v. 84, p. 98-115, 2016.0301-9322http://hdl.handle.net/11449/16171210.1016/j.ijmultiphaseflow.2016.04.014WOS:000379562600010WOS000379562600010.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal Of Multiphase Flow1,218info:eu-repo/semantics/openAccess2024-06-19T14:32:05Zoai:repositorio.unesp.br:11449/161712Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:53:56.516095Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A two-phase solver for complex fluids: Studies of the Weissenberg effect |
title |
A two-phase solver for complex fluids: Studies of the Weissenberg effect |
spellingShingle |
A two-phase solver for complex fluids: Studies of the Weissenberg effect Figueiredo, R. A. Two-phase solver Viscoelastic flow Finite difference method Volume-of-Fluid Weissenberg effect |
title_short |
A two-phase solver for complex fluids: Studies of the Weissenberg effect |
title_full |
A two-phase solver for complex fluids: Studies of the Weissenberg effect |
title_fullStr |
A two-phase solver for complex fluids: Studies of the Weissenberg effect |
title_full_unstemmed |
A two-phase solver for complex fluids: Studies of the Weissenberg effect |
title_sort |
A two-phase solver for complex fluids: Studies of the Weissenberg effect |
author |
Figueiredo, R. A. |
author_facet |
Figueiredo, R. A. Oishi, C. M. [UNESP] Afonso, A. M. Tasso, I. V. M. Cuminato, J. A. |
author_role |
author |
author2 |
Oishi, C. M. [UNESP] Afonso, A. M. Tasso, I. V. M. Cuminato, J. A. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) Univ Porto |
dc.contributor.author.fl_str_mv |
Figueiredo, R. A. Oishi, C. M. [UNESP] Afonso, A. M. Tasso, I. V. M. Cuminato, J. A. |
dc.subject.por.fl_str_mv |
Two-phase solver Viscoelastic flow Finite difference method Volume-of-Fluid Weissenberg effect |
topic |
Two-phase solver Viscoelastic flow Finite difference method Volume-of-Fluid Weissenberg effect |
description |
In this work a new two-phase solver is presented and described, with a particular interest in the solution of highly elastic flows of viscoelastic fluids. The proposed code is based on a combination of classical Volume-of-Fluid and Continuum Surface Force methods, along with a generic kernel-conformation tensor transformation to represent the rheological characteristics of the (multi)-fluid phases. Benchmark test problems are solved in order to assess the numerical accuracy of distinct levels of physical complexities; such as the interface representation, the influence of advection schemes, the influence of surface tension and the role of fluid rheology. In order to demonstrate the new features and capabilities of the solver in simulating of complex fluids in transient regime, we have performed a set of simulations for the problem of a rotating rod inserted into a container with a viscoelastic fluid, known as the Weissenberg or Rod Climbing effect. Firstly, our results are compared with numerical and experimental data from the literature for low angular velocities. Secondly, we have presented results obtained for high angular velocities (high elasticity) using the Oldroyd-B model which displayed very, elevated climbing heights. Furthermore, above a critical value for the angular velocity, it was observed the onset of elastic instabilities driven by the combination of elastic stresses, interfacial curvature and secondary flows, that to the authors best knowledge, were not yet reported in the literature. (C) 2016 Elsevier Ltd. All rights reserved. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-09-01 2018-11-26T16:48:20Z 2018-11-26T16:48:20Z |
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://dx.doi.org/10.1016/j.ijmultiphaseflow.2016.04.014 International Journal Of Multiphase Flow. Oxford: Pergamon-elsevier Science Ltd, v. 84, p. 98-115, 2016. 0301-9322 http://hdl.handle.net/11449/161712 10.1016/j.ijmultiphaseflow.2016.04.014 WOS:000379562600010 WOS000379562600010.pdf |
url |
http://dx.doi.org/10.1016/j.ijmultiphaseflow.2016.04.014 http://hdl.handle.net/11449/161712 |
identifier_str_mv |
International Journal Of Multiphase Flow. Oxford: Pergamon-elsevier Science Ltd, v. 84, p. 98-115, 2016. 0301-9322 10.1016/j.ijmultiphaseflow.2016.04.014 WOS:000379562600010 WOS000379562600010.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
International Journal Of Multiphase Flow 1,218 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
98-115 application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128236651020288 |