An assessment of the PTT model on the impacting drop problem
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s40430-018-1388-x http://hdl.handle.net/11449/171417 |
Resumo: | This work presents a numerical method and simulations of axisymmetric free-surface flows of a polymeric fluid using the Phan–Thien–Tanner (PTT) constitutive relationship. The governing equations are solved by finite differences on a staggered grid that employs accurate boundary conditions on the free surface together with bounded, monotone, high-order upwinding approximation of the convection terms. The numerical method is partially verified by solving fully developed flow in a tube and comparing it to a known analytic solution. The problem of a drop impacting on a rigid plate is considered. The effect of varying the five parameters, characterizing the PTT model, is studied extensively, and the results are interpreted physically. The expansion–contraction phenomenon of the viscoelastic drop that occurs when it hits a flat surface is tracked, and the time evolution of the normal and shear components of the extra-stress tensor is analyzed. To further verify the code, the impacting drop of an Oldroyd-B fluid is simulated and the time evolution of the drop width is compared to that of other authors. |
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Repositório Institucional da UNESP |
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An assessment of the PTT model on the impacting drop problemAxisymmetric flowFinite difference methodFree-surface flowImpacting dropPTT modelThis work presents a numerical method and simulations of axisymmetric free-surface flows of a polymeric fluid using the Phan–Thien–Tanner (PTT) constitutive relationship. The governing equations are solved by finite differences on a staggered grid that employs accurate boundary conditions on the free surface together with bounded, monotone, high-order upwinding approximation of the convection terms. The numerical method is partially verified by solving fully developed flow in a tube and comparing it to a known analytic solution. The problem of a drop impacting on a rigid plate is considered. The effect of varying the five parameters, characterizing the PTT model, is studied extensively, and the results are interpreted physically. The expansion–contraction phenomenon of the viscoelastic drop that occurs when it hits a flat surface is tracked, and the time evolution of the normal and shear components of the extra-stress tensor is analyzed. To further verify the code, the impacting drop of an Oldroyd-B fluid is simulated and the time evolution of the drop width is compared to that of other authors.Department of Mathematics Federal University of Mato Grosso do SulSão Paulo State University (Unesp) School of Technology and SciencesDepartment of Applied Mathematics and Statistics University of São PauloDepartment of Mathematics and Statistics University of StrathclydeSão Paulo State University (Unesp) School of Technology and SciencesFederal University of Mato Grosso do SulUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)University of StrathclydeTomé, M. F.Merejolli, R.Paulo, G. S. [UNESP]McKee, S.2018-12-11T16:55:14Z2018-12-11T16:55:14Z2018-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/s40430-018-1388-xJournal of the Brazilian Society of Mechanical Sciences and Engineering, v. 40, n. 9, 2018.1806-36911678-5878http://hdl.handle.net/11449/17141710.1007/s40430-018-1388-x2-s2.0-850528834682-s2.0-85052883468.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of the Brazilian Society of Mechanical Sciences and Engineering0,362info:eu-repo/semantics/openAccess2023-12-08T06:17:20Zoai:repositorio.unesp.br:11449/171417Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:45:03.616790Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
An assessment of the PTT model on the impacting drop problem |
title |
An assessment of the PTT model on the impacting drop problem |
spellingShingle |
An assessment of the PTT model on the impacting drop problem Tomé, M. F. Axisymmetric flow Finite difference method Free-surface flow Impacting drop PTT model |
title_short |
An assessment of the PTT model on the impacting drop problem |
title_full |
An assessment of the PTT model on the impacting drop problem |
title_fullStr |
An assessment of the PTT model on the impacting drop problem |
title_full_unstemmed |
An assessment of the PTT model on the impacting drop problem |
title_sort |
An assessment of the PTT model on the impacting drop problem |
author |
Tomé, M. F. |
author_facet |
Tomé, M. F. Merejolli, R. Paulo, G. S. [UNESP] McKee, S. |
author_role |
author |
author2 |
Merejolli, R. Paulo, G. S. [UNESP] McKee, S. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Federal University of Mato Grosso do Sul Universidade Estadual Paulista (Unesp) Universidade de São Paulo (USP) University of Strathclyde |
dc.contributor.author.fl_str_mv |
Tomé, M. F. Merejolli, R. Paulo, G. S. [UNESP] McKee, S. |
dc.subject.por.fl_str_mv |
Axisymmetric flow Finite difference method Free-surface flow Impacting drop PTT model |
topic |
Axisymmetric flow Finite difference method Free-surface flow Impacting drop PTT model |
description |
This work presents a numerical method and simulations of axisymmetric free-surface flows of a polymeric fluid using the Phan–Thien–Tanner (PTT) constitutive relationship. The governing equations are solved by finite differences on a staggered grid that employs accurate boundary conditions on the free surface together with bounded, monotone, high-order upwinding approximation of the convection terms. The numerical method is partially verified by solving fully developed flow in a tube and comparing it to a known analytic solution. The problem of a drop impacting on a rigid plate is considered. The effect of varying the five parameters, characterizing the PTT model, is studied extensively, and the results are interpreted physically. The expansion–contraction phenomenon of the viscoelastic drop that occurs when it hits a flat surface is tracked, and the time evolution of the normal and shear components of the extra-stress tensor is analyzed. To further verify the code, the impacting drop of an Oldroyd-B fluid is simulated and the time evolution of the drop width is compared to that of other authors. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T16:55:14Z 2018-12-11T16:55:14Z 2018-09-01 |
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/10.1007/s40430-018-1388-x Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 40, n. 9, 2018. 1806-3691 1678-5878 http://hdl.handle.net/11449/171417 10.1007/s40430-018-1388-x 2-s2.0-85052883468 2-s2.0-85052883468.pdf |
url |
http://dx.doi.org/10.1007/s40430-018-1388-x http://hdl.handle.net/11449/171417 |
identifier_str_mv |
Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 40, n. 9, 2018. 1806-3691 1678-5878 10.1007/s40430-018-1388-x 2-s2.0-85052883468 2-s2.0-85052883468.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of the Brazilian Society of Mechanical Sciences and Engineering 0,362 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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_ |
1808129113412599808 |