Application of the PTT Model to Axisymmetric Free Surface Flows
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1063/1.4825460 http://hdl.handle.net/11449/113410 |
Resumo: | This work is concerned with numerical simulation of axisymmetric viscoelastic free surface flows using the Phan-Thien-Tanner (PTT) constitutive equation. A finite difference technique for solving the governing equations for unsteady incompressible flows written in Cylindrical coordinates on a staggered grid is described. The fluid is modelled by a Marker-and-Cell type method and an accurate representation of the fluid surface is employed. The full free surface stress conditions are applied. The numerical method is verified by comparing numerical predictions of fully developed flow in a pipe with the corresponding analytic solutions. To demonstrate that the numerical method can simulate axisymmetric free surface flows governed by the PTT model, numerical results of the flow evolution of a drop impacting on a rigid dry plate are presented. In these simulations, the rheological effects of the parameters epsilon and xi are investigated. |
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Repositório Institucional da UNESP |
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Application of the PTT Model to Axisymmetric Free Surface FlowsPTT modelaxisymmetric flowsfree surfacefinite differencemarker-and-cellThis work is concerned with numerical simulation of axisymmetric viscoelastic free surface flows using the Phan-Thien-Tanner (PTT) constitutive equation. A finite difference technique for solving the governing equations for unsteady incompressible flows written in Cylindrical coordinates on a staggered grid is described. The fluid is modelled by a Marker-and-Cell type method and an accurate representation of the fluid surface is employed. The full free surface stress conditions are applied. The numerical method is verified by comparing numerical predictions of fully developed flow in a pipe with the corresponding analytic solutions. To demonstrate that the numerical method can simulate axisymmetric free surface flows governed by the PTT model, numerical results of the flow evolution of a drop impacting on a rigid dry plate are presented. In these simulations, the rheological effects of the parameters epsilon and xi are investigated.Univ Estadual Paulista, UNESP, Dept Matemat & Comp, Presidente Prudente, SP, BrazilUniv Estadual Paulista, UNESP, Dept Matemat & Comp, Presidente Prudente, SP, BrazilAmer Inst PhysicsUniversidade Estadual Paulista (Unesp)Merejolli, R. [UNESP]Paulo, G. S. [UNESP]Tome, M. F.2014-12-03T13:11:41Z2014-12-03T13:11:41Z2013-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject220-223http://dx.doi.org/10.1063/1.482546011th International Conference Of Numerical Analysis And Applied Mathematics 2013, Pts 1 And 2 (icnaam 2013). Melville: Amer Inst Physics, v. 1558, p. 220-223, 2013.0094-243Xhttp://hdl.handle.net/11449/11341010.1063/1.4825460WOS:0003314728000535783566438646841Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng11th International Conference Of Numerical Analysis And Applied Mathematics 2013, Pts 1 And 2 (icnaam 2013)info:eu-repo/semantics/openAccess2021-10-23T21:37:50Zoai:repositorio.unesp.br:11449/113410Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T21:37:50Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Application of the PTT Model to Axisymmetric Free Surface Flows |
title |
Application of the PTT Model to Axisymmetric Free Surface Flows |
spellingShingle |
Application of the PTT Model to Axisymmetric Free Surface Flows Merejolli, R. [UNESP] PTT model axisymmetric flows free surface finite difference marker-and-cell |
title_short |
Application of the PTT Model to Axisymmetric Free Surface Flows |
title_full |
Application of the PTT Model to Axisymmetric Free Surface Flows |
title_fullStr |
Application of the PTT Model to Axisymmetric Free Surface Flows |
title_full_unstemmed |
Application of the PTT Model to Axisymmetric Free Surface Flows |
title_sort |
Application of the PTT Model to Axisymmetric Free Surface Flows |
author |
Merejolli, R. [UNESP] |
author_facet |
Merejolli, R. [UNESP] Paulo, G. S. [UNESP] Tome, M. F. |
author_role |
author |
author2 |
Paulo, G. S. [UNESP] Tome, M. F. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Merejolli, R. [UNESP] Paulo, G. S. [UNESP] Tome, M. F. |
dc.subject.por.fl_str_mv |
PTT model axisymmetric flows free surface finite difference marker-and-cell |
topic |
PTT model axisymmetric flows free surface finite difference marker-and-cell |
description |
This work is concerned with numerical simulation of axisymmetric viscoelastic free surface flows using the Phan-Thien-Tanner (PTT) constitutive equation. A finite difference technique for solving the governing equations for unsteady incompressible flows written in Cylindrical coordinates on a staggered grid is described. The fluid is modelled by a Marker-and-Cell type method and an accurate representation of the fluid surface is employed. The full free surface stress conditions are applied. The numerical method is verified by comparing numerical predictions of fully developed flow in a pipe with the corresponding analytic solutions. To demonstrate that the numerical method can simulate axisymmetric free surface flows governed by the PTT model, numerical results of the flow evolution of a drop impacting on a rigid dry plate are presented. In these simulations, the rheological effects of the parameters epsilon and xi are investigated. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-01-01 2014-12-03T13:11:41Z 2014-12-03T13:11:41Z |
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 |
http://dx.doi.org/10.1063/1.4825460 11th International Conference Of Numerical Analysis And Applied Mathematics 2013, Pts 1 And 2 (icnaam 2013). Melville: Amer Inst Physics, v. 1558, p. 220-223, 2013. 0094-243X http://hdl.handle.net/11449/113410 10.1063/1.4825460 WOS:000331472800053 5783566438646841 |
url |
http://dx.doi.org/10.1063/1.4825460 http://hdl.handle.net/11449/113410 |
identifier_str_mv |
11th International Conference Of Numerical Analysis And Applied Mathematics 2013, Pts 1 And 2 (icnaam 2013). Melville: Amer Inst Physics, v. 1558, p. 220-223, 2013. 0094-243X 10.1063/1.4825460 WOS:000331472800053 5783566438646841 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
11th International Conference Of Numerical Analysis And Applied Mathematics 2013, Pts 1 And 2 (icnaam 2013) |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
220-223 |
dc.publisher.none.fl_str_mv |
Amer Inst Physics |
publisher.none.fl_str_mv |
Amer Inst Physics |
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_ |
1799964579371941888 |