Fluid flow and conjugated heat transfer in arbitrarily shaped channels via single domain formulation and integral transforms
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
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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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 |
_version_ |
1815455990809624576 |