Integral transforms solution for flow development in wavy wall ducts

Detalhes bibliográficos
Autor(a) principal: Silva, Roseane de Lima
Data de Publicação: 2011
Outros Autores: Quaresma, João Nazareno Nonato, Santos, Carlos Antonio Cabral dos, Cotta, Renato Machado
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8611
Resumo: Purpose – The purpose of this paper is to provide an analysis of two‐dimensional laminar flow in the entrance region of wavy wall ducts as obtained from the solution of the steady Navier‐Stokes equations for incompressible flow. Design/methodology/approach – The study is undertaken by application of the generalized integral transform technique in the solution of the steady Navier‐Stokes equations for incompressible flow. The streamfunction‐only formulation is adopted, and a general filtering solution that adapts to the irregular contour is proposed to enhance the convergence behavior of the eigenfunction expansion. Findings – A few representative cases are considered more closely in order to report some numerical results illustrating the eigenfunction expansions convergence behavior. The product friction factor‐Reynolds number is also computed and compared against results from discrete methods available in the literature for different Reynolds numbers and amplitudes of the wavy channel. Research limitations/implications – The proposed methodology is fairly general in the analysis of different channel profiles, though the reported results are limited to the wavy channel configuration. Future work should also extend the analysis to geometries represented in the cylindrical coordinates with longitudinally variable radius. Practical implications – The error‐controlled converged results provide reliable benchmark results for the validation of numerical results from computational codes that address the solution of the Navier‐Stokes equations in irregular geometries. Originality/value – Although the hybrid methodology is already known in the literature, the results here presented are original and further challenges application of the integral transform method in the solution of the Navier‐Stokes equations.
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spelling Integral transforms solution for flow development in wavy wall ductsTransformsLaminar flowWavesCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSPurpose – The purpose of this paper is to provide an analysis of two‐dimensional laminar flow in the entrance region of wavy wall ducts as obtained from the solution of the steady Navier‐Stokes equations for incompressible flow. Design/methodology/approach – The study is undertaken by application of the generalized integral transform technique in the solution of the steady Navier‐Stokes equations for incompressible flow. The streamfunction‐only formulation is adopted, and a general filtering solution that adapts to the irregular contour is proposed to enhance the convergence behavior of the eigenfunction expansion. Findings – A few representative cases are considered more closely in order to report some numerical results illustrating the eigenfunction expansions convergence behavior. The product friction factor‐Reynolds number is also computed and compared against results from discrete methods available in the literature for different Reynolds numbers and amplitudes of the wavy channel. Research limitations/implications – The proposed methodology is fairly general in the analysis of different channel profiles, though the reported results are limited to the wavy channel configuration. Future work should also extend the analysis to geometries represented in the cylindrical coordinates with longitudinally variable radius. Practical implications – The error‐controlled converged results provide reliable benchmark results for the validation of numerical results from computational codes that address the solution of the Navier‐Stokes equations in irregular geometries. Originality/value – Although the hybrid methodology is already known in the literature, the results here presented are original and further challenges application of the integral transform method in the solution of the Navier‐Stokes equations.Indisponível.EmeraldBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos2019-07-02T16:26:48Z2023-12-21T03:01:02Z2011-02-22info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0961-5539http://hdl.handle.net/11422/861110.1108/09615531111105416engInternational Journal of Numerical Methods for Heat and Fluid FlowSilva, Roseane de LimaQuaresma, João Nazareno NonatoSantos, Carlos Antonio Cabral dosCotta, Renato Machadoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJ2023-12-21T03:01:02Zoai:pantheon.ufrj.br:11422/8611Repositório InstitucionalPUBhttp://www.pantheon.ufrj.br/oai/requestpantheon@sibi.ufrj.bropendoar:2023-12-21T03:01:02Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.none.fl_str_mv Integral transforms solution for flow development in wavy wall ducts
title Integral transforms solution for flow development in wavy wall ducts
spellingShingle Integral transforms solution for flow development in wavy wall ducts
Silva, Roseane de Lima
Transforms
Laminar flow
Waves
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
title_short Integral transforms solution for flow development in wavy wall ducts
title_full Integral transforms solution for flow development in wavy wall ducts
title_fullStr Integral transforms solution for flow development in wavy wall ducts
title_full_unstemmed Integral transforms solution for flow development in wavy wall ducts
title_sort Integral transforms solution for flow development in wavy wall ducts
author Silva, Roseane de Lima
author_facet Silva, Roseane de Lima
Quaresma, João Nazareno Nonato
Santos, Carlos Antonio Cabral dos
Cotta, Renato Machado
author_role author
author2 Quaresma, João Nazareno Nonato
Santos, Carlos Antonio Cabral dos
Cotta, Renato Machado
author2_role author
author
author
dc.contributor.author.fl_str_mv Silva, Roseane de Lima
Quaresma, João Nazareno Nonato
Santos, Carlos Antonio Cabral dos
Cotta, Renato Machado
dc.subject.por.fl_str_mv Transforms
Laminar flow
Waves
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic Transforms
Laminar flow
Waves
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
description Purpose – The purpose of this paper is to provide an analysis of two‐dimensional laminar flow in the entrance region of wavy wall ducts as obtained from the solution of the steady Navier‐Stokes equations for incompressible flow. Design/methodology/approach – The study is undertaken by application of the generalized integral transform technique in the solution of the steady Navier‐Stokes equations for incompressible flow. The streamfunction‐only formulation is adopted, and a general filtering solution that adapts to the irregular contour is proposed to enhance the convergence behavior of the eigenfunction expansion. Findings – A few representative cases are considered more closely in order to report some numerical results illustrating the eigenfunction expansions convergence behavior. The product friction factor‐Reynolds number is also computed and compared against results from discrete methods available in the literature for different Reynolds numbers and amplitudes of the wavy channel. Research limitations/implications – The proposed methodology is fairly general in the analysis of different channel profiles, though the reported results are limited to the wavy channel configuration. Future work should also extend the analysis to geometries represented in the cylindrical coordinates with longitudinally variable radius. Practical implications – The error‐controlled converged results provide reliable benchmark results for the validation of numerical results from computational codes that address the solution of the Navier‐Stokes equations in irregular geometries. Originality/value – Although the hybrid methodology is already known in the literature, the results here presented are original and further challenges application of the integral transform method in the solution of the Navier‐Stokes equations.
publishDate 2011
dc.date.none.fl_str_mv 2011-02-22
2019-07-02T16:26:48Z
2023-12-21T03:01:02Z
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 0961-5539
http://hdl.handle.net/11422/8611
10.1108/09615531111105416
identifier_str_mv 0961-5539
10.1108/09615531111105416
url http://hdl.handle.net/11422/8611
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Numerical Methods for Heat and Fluid Flow
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Emerald
Brasil
Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Emerald
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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