Numerical simulation of the Weissenberg effect
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/220421 |
Resumo: | Weissenberg effect, or Rob-Climbing experiment, is encountered in many important industrial applications involving mixing process. In this experiment we insert a rotating rod into a container with viscoelastic fluid. The behavior of the viscoelastic fluid is striking, the fluid moves in the opposite direction of the centrifugal force and climbs up the rod. This effect has been experimentally reproduced by many researchers. However, in the context of numerical results, there are few works dealing with a rigorous study about this effect. One of the main challenges imposed in this simulation is to provide numerical methods which achieve high elasticity rate and that represent the correct shape of the free surface. In this work is presented a finite difference scheme to simulate the Weissenberg effect. The numerical technique is based on the projection method to simulate viscoelastic two-phase flows. The conformation tensor is employed to solve the viscoelastic fluid model. The interface between the fluids is represented with the efficient least squares volume-of-fluid interface reconstruction algorithm (ELVIRA). A second-order operatorsplit method is used to solve the advection equation and obtain the volume fraction in the next step.In this work, we have performed simulations of the Weissenberg effect for the linear Phan-Thien-Tanner (LPTT) model. |
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Numerical simulation of the Weissenberg effectAxisymmetric flowFDMViscoelastic flowVOFWeissenberg effectWeissenberg effect, or Rob-Climbing experiment, is encountered in many important industrial applications involving mixing process. In this experiment we insert a rotating rod into a container with viscoelastic fluid. The behavior of the viscoelastic fluid is striking, the fluid moves in the opposite direction of the centrifugal force and climbs up the rod. This effect has been experimentally reproduced by many researchers. However, in the context of numerical results, there are few works dealing with a rigorous study about this effect. One of the main challenges imposed in this simulation is to provide numerical methods which achieve high elasticity rate and that represent the correct shape of the free surface. In this work is presented a finite difference scheme to simulate the Weissenberg effect. The numerical technique is based on the projection method to simulate viscoelastic two-phase flows. The conformation tensor is employed to solve the viscoelastic fluid model. The interface between the fluids is represented with the efficient least squares volume-of-fluid interface reconstruction algorithm (ELVIRA). A second-order operatorsplit method is used to solve the advection equation and obtain the volume fraction in the next step.In this work, we have performed simulations of the Weissenberg effect for the linear Phan-Thien-Tanner (LPTT) model.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Instituto de Ciências Matemáticas e Computação (ICMC), Universidade de São Paulo, Av. do Trabalhador São-Carlense, 400Faculdade de Ciência e Tecnologia (FCT), Universidade Estadual Paulista Julio de Mesquita, Filho Roberto Simonsen, 305Faculdade de Ciência e Tecnologia (FCT), Universidade Estadual Paulista Julio de Mesquita, Filho Roberto Simonsen, 305FAPESP: 2011/09194-7Universidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)Figueiredo, Rafael A.Oishi, Cassio M. [UNESP]Cuminato, José A.2022-04-28T19:01:27Z2022-04-28T19:01:27Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject658-668PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015, p. 658-668.http://hdl.handle.net/11449/2204212-s2.0-84938709244Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015info:eu-repo/semantics/openAccess2022-04-28T19:01:27Zoai:repositorio.unesp.br:11449/220421Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:34:11.930576Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Numerical simulation of the Weissenberg effect |
title |
Numerical simulation of the Weissenberg effect |
spellingShingle |
Numerical simulation of the Weissenberg effect Figueiredo, Rafael A. Axisymmetric flow FDM Viscoelastic flow VOF Weissenberg effect |
title_short |
Numerical simulation of the Weissenberg effect |
title_full |
Numerical simulation of the Weissenberg effect |
title_fullStr |
Numerical simulation of the Weissenberg effect |
title_full_unstemmed |
Numerical simulation of the Weissenberg effect |
title_sort |
Numerical simulation of the Weissenberg effect |
author |
Figueiredo, Rafael A. |
author_facet |
Figueiredo, Rafael A. Oishi, Cassio M. [UNESP] Cuminato, José A. |
author_role |
author |
author2 |
Oishi, Cassio M. [UNESP] Cuminato, José A. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade de São Paulo (USP) Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Figueiredo, Rafael A. Oishi, Cassio M. [UNESP] Cuminato, José A. |
dc.subject.por.fl_str_mv |
Axisymmetric flow FDM Viscoelastic flow VOF Weissenberg effect |
topic |
Axisymmetric flow FDM Viscoelastic flow VOF Weissenberg effect |
description |
Weissenberg effect, or Rob-Climbing experiment, is encountered in many important industrial applications involving mixing process. In this experiment we insert a rotating rod into a container with viscoelastic fluid. The behavior of the viscoelastic fluid is striking, the fluid moves in the opposite direction of the centrifugal force and climbs up the rod. This effect has been experimentally reproduced by many researchers. However, in the context of numerical results, there are few works dealing with a rigorous study about this effect. One of the main challenges imposed in this simulation is to provide numerical methods which achieve high elasticity rate and that represent the correct shape of the free surface. In this work is presented a finite difference scheme to simulate the Weissenberg effect. The numerical technique is based on the projection method to simulate viscoelastic two-phase flows. The conformation tensor is employed to solve the viscoelastic fluid model. The interface between the fluids is represented with the efficient least squares volume-of-fluid interface reconstruction algorithm (ELVIRA). A second-order operatorsplit method is used to solve the advection equation and obtain the volume fraction in the next step.In this work, we have performed simulations of the Weissenberg effect for the linear Phan-Thien-Tanner (LPTT) model. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-01-01 2022-04-28T19:01:27Z 2022-04-28T19:01:27Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015, p. 658-668. http://hdl.handle.net/11449/220421 2-s2.0-84938709244 |
identifier_str_mv |
PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015, p. 658-668. 2-s2.0-84938709244 |
url |
http://hdl.handle.net/11449/220421 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
PANACM 2015 - 1st Pan-American Congress on Computational Mechanics, in conjunction with the 11th Argentine Congress on Computational Mechanics, MECOM 2015 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
658-668 |
dc.source.none.fl_str_mv |
Scopus 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_ |
1808128249183600640 |