Hybrid integral transforms for flow development in ducts partially filled with porous media

A hybrid numerical–analytical solution is developed for laminar flow development in a parallel plate duct partially filled with porous media. The integral transform method is employed in combination with a single domain reformulation strategy for representing the heterogeneous media within the chann...

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Detalles Bibliográficos
Autores: Lisboa, Kleber Marques, Cotta, Renato Machado
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Brasil
Institución:Universidade Federal do Rio de Janeiro (UFRJ)
Repositorio:Repositório Institucional da UFRJ
Idioma:inglés
OAI Identifier:oai:pantheon.ufrj.br:11422/8285
Acceso en línea:http://hdl.handle.net/11422/8285
Access Level:acceso abierto
Palabra clave:Single Domain Formulation
Channel Flow
Navier–Stokes equations
Integral Transforms
Porous Media
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
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repository_id_str
spelling Hybrid integral transforms for flow development in ducts partially filled with porous mediaSingle Domain FormulationChannel FlowNavier–Stokes equationsIntegral TransformsPorous MediaCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSA hybrid numerical–analytical solution is developed for laminar flow development in a parallel plate duct partially filled with porous media. The integral transform method is employed in combination with a single domain reformulation strategy for representing the heterogeneous media within the channel. A novel eigenfunction expansion basis is proposed, including abrupt spatial variations of physical properties due to the domain transitions. The introduction of the new basis allows for a solution with similar convergence rates as in previous applications with simpler formulations, as demonstrated through a careful convergence analysis of the expansions. The inherent automatic error control characteristic of the integral transforms approach then provides benchmark results for the developing velocity profile. Moreover, a physical analysis further verifies the consistency of both the proposed expansion and the mixed symbolic–numerical code developed. A detailed verification with a finite-element commercial code is also performed.Indisponível.The Royal SocietyBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos2019-06-04T12:45:39Z2023-12-21T03:05:57Z2018-01-10info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1471-2946http://hdl.handle.net/11422/828510.1098/rspa.2017.0637engProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciencesinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJLisboa, Kleber MarquesCotta, Renato Machado2023-12-21T03:05:57Zoai:pantheon.ufrj.br:11422/8285Repositório InstitucionalPUBhttp://www.pantheon.ufrj.br/oai/requestpantheon@sibi.ufrj.bropendoar:2023-12-21T03:05:57Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.none.fl_str_mv Hybrid integral transforms for flow development in ducts partially filled with porous media
title Hybrid integral transforms for flow development in ducts partially filled with porous media
spellingShingle Hybrid integral transforms for flow development in ducts partially filled with porous media
Lisboa, Kleber Marques
Single Domain Formulation
Channel Flow
Navier–Stokes equations
Integral Transforms
Porous Media
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
title_short Hybrid integral transforms for flow development in ducts partially filled with porous media
title_full Hybrid integral transforms for flow development in ducts partially filled with porous media
title_fullStr Hybrid integral transforms for flow development in ducts partially filled with porous media
title_full_unstemmed Hybrid integral transforms for flow development in ducts partially filled with porous media
title_sort Hybrid integral transforms for flow development in ducts partially filled with porous media
dc.creator.none.fl_str_mv Lisboa, Kleber Marques
Cotta, Renato Machado
author Lisboa, Kleber Marques
author_facet Lisboa, Kleber Marques
Cotta, Renato Machado
author_role author
author2 Cotta, Renato Machado
author2_role author
dc.subject.por.fl_str_mv Single Domain Formulation
Channel Flow
Navier–Stokes equations
Integral Transforms
Porous Media
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic Single Domain Formulation
Channel Flow
Navier–Stokes equations
Integral Transforms
Porous Media
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
description A hybrid numerical–analytical solution is developed for laminar flow development in a parallel plate duct partially filled with porous media. The integral transform method is employed in combination with a single domain reformulation strategy for representing the heterogeneous media within the channel. A novel eigenfunction expansion basis is proposed, including abrupt spatial variations of physical properties due to the domain transitions. The introduction of the new basis allows for a solution with similar convergence rates as in previous applications with simpler formulations, as demonstrated through a careful convergence analysis of the expansions. The inherent automatic error control characteristic of the integral transforms approach then provides benchmark results for the developing velocity profile. Moreover, a physical analysis further verifies the consistency of both the proposed expansion and the mixed symbolic–numerical code developed. A detailed verification with a finite-element commercial code is also performed.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-10
2019-06-04T12:45:39Z
2023-12-21T03:05:57Z
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 1471-2946
http://hdl.handle.net/11422/8285
10.1098/rspa.2017.0637
identifier_str_mv 1471-2946
10.1098/rspa.2017.0637
url http://hdl.handle.net/11422/8285
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv The Royal Society
Brasil
Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv The Royal Society
Brasil
Núcleo Interdisciplinar de Dinâmica dos Fluidos
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
repository.name.fl_str_mv Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)
repository.mail.fl_str_mv pantheon@sibi.ufrj.br
_version_ 1853662098505072640
score 15.301603

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