Transient computations using the natural stress formulation for solving sharp corner flows
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.jnnfm.2017.08.012 http://hdl.handle.net/11449/163517 |
Resumo: | In this short communication, we analyse the potential of the natural stress formulation (NSF) (i.e. aligning the stress basis along streamlines) for computing planar flows of an Oldroyd-B fluid around sharp corners. This is the first attempt to combine the NSF into a numerical strategy for solving a transient fluid flow problem considering the momentum equation in Navier-Stokes form (the elastic stress entering as a source term) and using the constitutive equations for natural stress variables. Preliminary results of the NSF are motivating in the sense that accuracy of the numerical solution for the extra stress tensor is improved near to the sharp corner. Comparison studies among the NSF and the Cartesian stress formulation (CSF) (i.e. using a fixed Cartesian stress basis) are conducted in a typical benchmark viscoelastic fluid flow involving a sharp corner: the 4 : 1 contraction. The CSF needs a mesh approximately 10 times smaller to capture similar near singularity results to the NSF. (C) 2017 Elsevier B.V. All rights reserved. |
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Transient computations using the natural stress formulation for solving sharp corner flowsUnsteady viscoelastic flowsOldroyd-B modelNatural stress formulationPlanar contractionSharp cornerIn this short communication, we analyse the potential of the natural stress formulation (NSF) (i.e. aligning the stress basis along streamlines) for computing planar flows of an Oldroyd-B fluid around sharp corners. This is the first attempt to combine the NSF into a numerical strategy for solving a transient fluid flow problem considering the momentum equation in Navier-Stokes form (the elastic stress entering as a source term) and using the constitutive equations for natural stress variables. Preliminary results of the NSF are motivating in the sense that accuracy of the numerical solution for the extra stress tensor is improved near to the sharp corner. Comparison studies among the NSF and the Cartesian stress formulation (CSF) (i.e. using a fixed Cartesian stress basis) are conducted in a typical benchmark viscoelastic fluid flow involving a sharp corner: the 4 : 1 contraction. The CSF needs a mesh approximately 10 times smaller to capture similar near singularity results to the NSF. (C) 2017 Elsevier B.V. All rights reserved.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Royal Society Newton International Exchanges grantConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, EnglandUniv Estadual Paulista, Dept Matemat & Computacao, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, BrazilUniv Estadual Paulista, Dept Matemat & Computacao, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, BrazilFAPESP: 2015/50094-7Royal Society Newton International Exchanges grant: 2015/NI150225CNPq: 307459/2016-0FAPESP: 2013/07375-0Elsevier B.V.Univ BathUniversidade Estadual Paulista (Unesp)Evans, J. D.Oishi, C. M. [UNESP]2018-11-26T17:42:21Z2018-11-26T17:42:21Z2017-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article48-52application/pdfhttp://dx.doi.org/10.1016/j.jnnfm.2017.08.012Journal Of Non-newtonian Fluid Mechanics. Amsterdam: Elsevier Science Bv, v. 249, p. 48-52, 2017.0377-0257http://hdl.handle.net/11449/16351710.1016/j.jnnfm.2017.08.012WOS:000416186300005WOS000416186300005.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Non-newtonian Fluid Mechanics1,140info:eu-repo/semantics/openAccess2024-06-19T14:31:49Zoai:repositorio.unesp.br:11449/163517Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:45:13.237324Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Transient computations using the natural stress formulation for solving sharp corner flows |
title |
Transient computations using the natural stress formulation for solving sharp corner flows |
spellingShingle |
Transient computations using the natural stress formulation for solving sharp corner flows Evans, J. D. Unsteady viscoelastic flows Oldroyd-B model Natural stress formulation Planar contraction Sharp corner |
title_short |
Transient computations using the natural stress formulation for solving sharp corner flows |
title_full |
Transient computations using the natural stress formulation for solving sharp corner flows |
title_fullStr |
Transient computations using the natural stress formulation for solving sharp corner flows |
title_full_unstemmed |
Transient computations using the natural stress formulation for solving sharp corner flows |
title_sort |
Transient computations using the natural stress formulation for solving sharp corner flows |
author |
Evans, J. D. |
author_facet |
Evans, J. D. Oishi, C. M. [UNESP] |
author_role |
author |
author2 |
Oishi, C. M. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Univ Bath Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Evans, J. D. Oishi, C. M. [UNESP] |
dc.subject.por.fl_str_mv |
Unsteady viscoelastic flows Oldroyd-B model Natural stress formulation Planar contraction Sharp corner |
topic |
Unsteady viscoelastic flows Oldroyd-B model Natural stress formulation Planar contraction Sharp corner |
description |
In this short communication, we analyse the potential of the natural stress formulation (NSF) (i.e. aligning the stress basis along streamlines) for computing planar flows of an Oldroyd-B fluid around sharp corners. This is the first attempt to combine the NSF into a numerical strategy for solving a transient fluid flow problem considering the momentum equation in Navier-Stokes form (the elastic stress entering as a source term) and using the constitutive equations for natural stress variables. Preliminary results of the NSF are motivating in the sense that accuracy of the numerical solution for the extra stress tensor is improved near to the sharp corner. Comparison studies among the NSF and the Cartesian stress formulation (CSF) (i.e. using a fixed Cartesian stress basis) are conducted in a typical benchmark viscoelastic fluid flow involving a sharp corner: the 4 : 1 contraction. The CSF needs a mesh approximately 10 times smaller to capture similar near singularity results to the NSF. (C) 2017 Elsevier B.V. All rights reserved. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-11-01 2018-11-26T17:42:21Z 2018-11-26T17:42:21Z |
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.jnnfm.2017.08.012 Journal Of Non-newtonian Fluid Mechanics. Amsterdam: Elsevier Science Bv, v. 249, p. 48-52, 2017. 0377-0257 http://hdl.handle.net/11449/163517 10.1016/j.jnnfm.2017.08.012 WOS:000416186300005 WOS000416186300005.pdf |
url |
http://dx.doi.org/10.1016/j.jnnfm.2017.08.012 http://hdl.handle.net/11449/163517 |
identifier_str_mv |
Journal Of Non-newtonian Fluid Mechanics. Amsterdam: Elsevier Science Bv, v. 249, p. 48-52, 2017. 0377-0257 10.1016/j.jnnfm.2017.08.012 WOS:000416186300005 WOS000416186300005.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal Of Non-newtonian Fluid Mechanics 1,140 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
48-52 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_ |
1808128271175385088 |