Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms

Detalhes bibliográficos
Autor(a) principal: Knupp, Diego Campos
Data de Publicação: 2014
Outros Autores: Cotta, Renato Machado, Naveira-Cotta, Carolina Palma
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8442
Resumo: The present work advances a recently introduced approach based on combining the Generalized Integral Transform Technique (GITT) and a single domain reformulation strategy, aimed at providing hybrid numerical–analytical solutions to convection–diffusion problems in complex physical configurations and irregular geometries. The methodology has been previously considered in the analysis of conjugated conduction–convection heat transfer problems, simultaneously modeling the heat transfer phenomena at both the fluid streams and the channels walls, by making use of coefficients represented as space variable functions with abrupt transitions occurring at the fluid–wall interfaces. The present work is aimed at extending this methodology to deal with both fluid flow and conjugated heat transfer within arbitrarily shaped channels and complex multichannel configurations, so that the solution of a cumbersome system of coupled partial differential equations defined for each individual sub-domain of the problem is avoided, with the proposition of the single-domain formulation. The reformulated problem is integral transformed through the adoption of eigenvalue problems containing the space variable coefficients, which provide the basis of the eigenfunction expansions and are responsible for recovering the transitional behavior among the different regions in the original formulation. For demonstration purposes, an application is first considered consisting of a microchannel with an irregular cross-section shape, representing a typical channel micro-fabricated through laser ablation, in which heat and fluid flow are investigated, taking into account the conjugation with the polymeric substrate. Then, a complex configuration consisting of multiple irregularly shaped channels is more closely analyzed, in order to illustrate the flexibility and robustness of the advanced hybrid approach. In both cases, the convergence behavior of the proposed expansions is presented and critical comparisons against purely numerical approaches are provided.
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spelling Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transformsInternal flowSingle domain formulationHybrid methodsIntegral transformsConjugated heat transferMicrochannelsMicro-heat exchangersCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSThe present work advances a recently introduced approach based on combining the Generalized Integral Transform Technique (GITT) and a single domain reformulation strategy, aimed at providing hybrid numerical–analytical solutions to convection–diffusion problems in complex physical configurations and irregular geometries. The methodology has been previously considered in the analysis of conjugated conduction–convection heat transfer problems, simultaneously modeling the heat transfer phenomena at both the fluid streams and the channels walls, by making use of coefficients represented as space variable functions with abrupt transitions occurring at the fluid–wall interfaces. The present work is aimed at extending this methodology to deal with both fluid flow and conjugated heat transfer within arbitrarily shaped channels and complex multichannel configurations, so that the solution of a cumbersome system of coupled partial differential equations defined for each individual sub-domain of the problem is avoided, with the proposition of the single-domain formulation. The reformulated problem is integral transformed through the adoption of eigenvalue problems containing the space variable coefficients, which provide the basis of the eigenfunction expansions and are responsible for recovering the transitional behavior among the different regions in the original formulation. For demonstration purposes, an application is first considered consisting of a microchannel with an irregular cross-section shape, representing a typical channel micro-fabricated through laser ablation, in which heat and fluid flow are investigated, taking into account the conjugation with the polymeric substrate. Then, a complex configuration consisting of multiple irregularly shaped channels is more closely analyzed, in order to illustrate the flexibility and robustness of the advanced hybrid approach. In both cases, the convergence behavior of the proposed expansions is presented and critical comparisons against purely numerical approaches are provided.Indisponível.ElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos2019-06-12T16:15:01Z2023-12-21T03:06:00Z2014-11-26info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0017-9310http://hdl.handle.net/11422/844210.1016/j.ijheatmasstransfer.2014.11.007engInternational Journal of Heat and Mass TransferKnupp, Diego CamposCotta, Renato MachadoNaveira-Cotta, Carolina Palmainfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJ2023-12-21T03:06:00Zoai:pantheon.ufrj.br:11422/8442Repositório InstitucionalPUBhttp://www.pantheon.ufrj.br/oai/requestpantheon@sibi.ufrj.bropendoar:2023-12-21T03:06Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.none.fl_str_mv Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
title Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
spellingShingle Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
Knupp, Diego Campos
Internal flow
Single domain formulation
Hybrid methods
Integral transforms
Conjugated heat transfer
Microchannels
Micro-heat exchangers
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
title_short Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
title_full Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
title_fullStr Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
title_full_unstemmed Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
title_sort Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
author Knupp, Diego Campos
author_facet Knupp, Diego Campos
Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
author_role author
author2 Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
author2_role author
author
dc.contributor.author.fl_str_mv Knupp, Diego Campos
Cotta, Renato Machado
Naveira-Cotta, Carolina Palma
dc.subject.por.fl_str_mv Internal flow
Single domain formulation
Hybrid methods
Integral transforms
Conjugated heat transfer
Microchannels
Micro-heat exchangers
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic Internal flow
Single domain formulation
Hybrid methods
Integral transforms
Conjugated heat transfer
Microchannels
Micro-heat exchangers
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
description The present work advances a recently introduced approach based on combining the Generalized Integral Transform Technique (GITT) and a single domain reformulation strategy, aimed at providing hybrid numerical–analytical solutions to convection–diffusion problems in complex physical configurations and irregular geometries. The methodology has been previously considered in the analysis of conjugated conduction–convection heat transfer problems, simultaneously modeling the heat transfer phenomena at both the fluid streams and the channels walls, by making use of coefficients represented as space variable functions with abrupt transitions occurring at the fluid–wall interfaces. The present work is aimed at extending this methodology to deal with both fluid flow and conjugated heat transfer within arbitrarily shaped channels and complex multichannel configurations, so that the solution of a cumbersome system of coupled partial differential equations defined for each individual sub-domain of the problem is avoided, with the proposition of the single-domain formulation. The reformulated problem is integral transformed through the adoption of eigenvalue problems containing the space variable coefficients, which provide the basis of the eigenfunction expansions and are responsible for recovering the transitional behavior among the different regions in the original formulation. For demonstration purposes, an application is first considered consisting of a microchannel with an irregular cross-section shape, representing a typical channel micro-fabricated through laser ablation, in which heat and fluid flow are investigated, taking into account the conjugation with the polymeric substrate. Then, a complex configuration consisting of multiple irregularly shaped channels is more closely analyzed, in order to illustrate the flexibility and robustness of the advanced hybrid approach. In both cases, the convergence behavior of the proposed expansions is presented and critical comparisons against purely numerical approaches are provided.
publishDate 2014
dc.date.none.fl_str_mv 2014-11-26
2019-06-12T16:15:01Z
2023-12-21T03:06:00Z
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 0017-9310
http://hdl.handle.net/11422/8442
10.1016/j.ijheatmasstransfer.2014.11.007
identifier_str_mv 0017-9310
10.1016/j.ijheatmasstransfer.2014.11.007
url http://hdl.handle.net/11422/8442
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Heat and Mass Transfer
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
Brasil
Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Elsevier
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
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