Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method

Detalhes bibliográficos
Autor(a) principal: Santos Júnior, Valdecir Alves dos
Data de Publicação: 2021
Outros Autores: Lima, Antonio Gilson Barbosa de, Farias Neto, Severino Rodrigues de, Gomes, Igor Fernandes, Teixeira, Jonathan da Cunha
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Research, Society and Development
Texto Completo: https://rsdjournal.org/index.php/rsd/article/view/11547
Resumo: Fluid flow in concentric or eccentric annular ducts have been studied for decades due to large application in medical sciences and engineering areas. This paper aims to study fully developed fluid flow in straight ducts of concentric annular geometries (circular with circular core, elliptical with circular core, elliptical with elliptical core, and circular with elliptical core) using the Galerkin-based Integral method (GBI method). The choice of method was due to the fact that in the literature it is not applied in ducts of cross-sections of the annular shape with variations between circular and elliptical. Results of different hydrodynamics parameters such as velocity distribution, Hagenbach factor, Poiseuille number, and hydrodynamic entrance length, are presented and analyzed. In different cases, the predicted hydrodynamic parameters are compared with results reported in the literature and a good concordance was obtained.
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spelling Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI methodFlujo de fluido laminar en conductos anulares concéntricos de sección transversal no convencional utilizando el método GBIEscoamento de fluido laminar em dutos anulares concêntricos de seção transversal não convencional aplicando o método GBICircularFlujo completamente desarrolladoConducto no circularMétodo integral basado en GalerkinElíptico.CircularFluxo completamente desenvolvidoDuto não circularMétodo integral baseado em GalerkinElíptico.CircularFully developed flowNon-circular ductGalerkin-based integral MethodElliptical.Fluid flow in concentric or eccentric annular ducts have been studied for decades due to large application in medical sciences and engineering areas. This paper aims to study fully developed fluid flow in straight ducts of concentric annular geometries (circular with circular core, elliptical with circular core, elliptical with elliptical core, and circular with elliptical core) using the Galerkin-based Integral method (GBI method). The choice of method was due to the fact that in the literature it is not applied in ducts of cross-sections of the annular shape with variations between circular and elliptical. Results of different hydrodynamics parameters such as velocity distribution, Hagenbach factor, Poiseuille number, and hydrodynamic entrance length, are presented and analyzed. In different cases, the predicted hydrodynamic parameters are compared with results reported in the literature and a good concordance was obtained.El flujo de fluidos en conductos anulares concéntricos o excéntricos se ha estudiado durante décadas debido a su amplia aplicación en las ciencias médicas y la ingeniería. Este trabajo tiene como objetivo estudiar el flujo de fluido desarrollado íntegramente en conductos rectos de geometrías anulares concéntricas (circular con núcleo circular, elíptica con núcleo elíptico, elíptica con núcleo elíptico y circular con núcleo elíptico) utilizando el método Integral basado en Galerkin (método GBI). La elección del método se debió a que en la literatura no se aplica en conductos de sección transversal de forma anular con variaciones entre circulares y elípticas. Los resultados de diferentes parámetros hidrodinámicos, como la distribución de velocidades, el factor de Hagenbach, el número de Poiseuille y la longitud de entrada hidrodinámica, se presentan y analizan, tanto en tablas como en forma de gráficos. En diferentes casos, los parámetros hidrodinámicos predichos se comparan con los resultados reportados en la literatura y se obtuvo una buena concordancia.O fluxo de fluidos em dutos anulares concêntricos ou excêntricos tem sido estudado há décadas devido à grande aplicação nas ciências médicas e nas áreas de engenharia. Este trabalho tem como objetivo estudar o escoamento de fluidos completamente desenvolvido em dutos retos de geometrias anulares concêntricas (circular com núcleo circular, elíptico com núcleo elíptico, elíptico com núcleo elíptico e circular com núcleo elíptico) usando o método Integral baseado em Galerkin (método GBI). A escolha do método se deu pelo fato de que na literatura não se encontra aplicado em dutos de seções transversais da forma anulares com variações entre circular e elíptica. Resultados de diferentes parâmetros hidrodinâmicos, como distribuição de velocidade, fator de Hagenbach, número de Poiseuille e comprimento de entrada hidrodinâmica, são apresentados e analisados, tanto em tabelas como em forma de gráficos. Em diferentes casos, os parâmetros hidrodinâmicos previstos são comparados com os resultados relatados na literatura e uma boa concordância foi obtida.Research, Society and Development2021-01-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://rsdjournal.org/index.php/rsd/article/view/1154710.33448/rsd-v10i1.11547Research, Society and Development; Vol. 10 No. 1; e10710111547Research, Society and Development; Vol. 10 Núm. 1; e10710111547Research, Society and Development; v. 10 n. 1; e107101115472525-3409reponame:Research, Society and Developmentinstname:Universidade Federal de Itajubá (UNIFEI)instacron:UNIFEIenghttps://rsdjournal.org/index.php/rsd/article/view/11547/10307Copyright (c) 2021 Valdecir Alves dos Santos Júnior; Antonio Gilson Barbosa de Lima; Severino Rodrigues de Farias Neto; Igor Fernandes Gomes; Jonathan da Cunha Teixeirahttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSantos Júnior, Valdecir Alves dosLima, Antonio Gilson Barbosa deFarias Neto, Severino Rodrigues de Gomes, Igor FernandesTeixeira, Jonathan da Cunha2021-02-20T21:19:23Zoai:ojs.pkp.sfu.ca:article/11547Revistahttps://rsdjournal.org/index.php/rsd/indexPUBhttps://rsdjournal.org/index.php/rsd/oairsd.articles@gmail.com2525-34092525-3409opendoar:2024-01-17T09:33:20.584323Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)false
dc.title.none.fl_str_mv Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
Flujo de fluido laminar en conductos anulares concéntricos de sección transversal no convencional utilizando el método GBI
Escoamento de fluido laminar em dutos anulares concêntricos de seção transversal não convencional aplicando o método GBI
title Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
spellingShingle Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
Santos Júnior, Valdecir Alves dos
Circular
Flujo completamente desarrollado
Conducto no circular
Método integral basado en Galerkin
Elíptico.
Circular
Fluxo completamente desenvolvido
Duto não circular
Método integral baseado em Galerkin
Elíptico.
Circular
Fully developed flow
Non-circular duct
Galerkin-based integral Method
Elliptical.
title_short Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
title_full Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
title_fullStr Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
title_full_unstemmed Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
title_sort Laminar fluid flow in concentric annular ducts of non-conventional cross-section applying GBI method
author Santos Júnior, Valdecir Alves dos
author_facet Santos Júnior, Valdecir Alves dos
Lima, Antonio Gilson Barbosa de
Farias Neto, Severino Rodrigues de
Gomes, Igor Fernandes
Teixeira, Jonathan da Cunha
author_role author
author2 Lima, Antonio Gilson Barbosa de
Farias Neto, Severino Rodrigues de
Gomes, Igor Fernandes
Teixeira, Jonathan da Cunha
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Santos Júnior, Valdecir Alves dos
Lima, Antonio Gilson Barbosa de
Farias Neto, Severino Rodrigues de
Gomes, Igor Fernandes
Teixeira, Jonathan da Cunha
dc.subject.por.fl_str_mv Circular
Flujo completamente desarrollado
Conducto no circular
Método integral basado en Galerkin
Elíptico.
Circular
Fluxo completamente desenvolvido
Duto não circular
Método integral baseado em Galerkin
Elíptico.
Circular
Fully developed flow
Non-circular duct
Galerkin-based integral Method
Elliptical.
topic Circular
Flujo completamente desarrollado
Conducto no circular
Método integral basado en Galerkin
Elíptico.
Circular
Fluxo completamente desenvolvido
Duto não circular
Método integral baseado em Galerkin
Elíptico.
Circular
Fully developed flow
Non-circular duct
Galerkin-based integral Method
Elliptical.
description Fluid flow in concentric or eccentric annular ducts have been studied for decades due to large application in medical sciences and engineering areas. This paper aims to study fully developed fluid flow in straight ducts of concentric annular geometries (circular with circular core, elliptical with circular core, elliptical with elliptical core, and circular with elliptical core) using the Galerkin-based Integral method (GBI method). The choice of method was due to the fact that in the literature it is not applied in ducts of cross-sections of the annular shape with variations between circular and elliptical. Results of different hydrodynamics parameters such as velocity distribution, Hagenbach factor, Poiseuille number, and hydrodynamic entrance length, are presented and analyzed. In different cases, the predicted hydrodynamic parameters are compared with results reported in the literature and a good concordance was obtained.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-04
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/11547
10.33448/rsd-v10i1.11547
url https://rsdjournal.org/index.php/rsd/article/view/11547
identifier_str_mv 10.33448/rsd-v10i1.11547
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://rsdjournal.org/index.php/rsd/article/view/11547/10307
dc.rights.driver.fl_str_mv https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Research, Society and Development
publisher.none.fl_str_mv Research, Society and Development
dc.source.none.fl_str_mv Research, Society and Development; Vol. 10 No. 1; e10710111547
Research, Society and Development; Vol. 10 Núm. 1; e10710111547
Research, Society and Development; v. 10 n. 1; e10710111547
2525-3409
reponame:Research, Society and Development
instname:Universidade Federal de Itajubá (UNIFEI)
instacron:UNIFEI
instname_str Universidade Federal de Itajubá (UNIFEI)
instacron_str UNIFEI
institution UNIFEI
reponame_str Research, Society and Development
collection Research, Society and Development
repository.name.fl_str_mv Research, Society and Development - Universidade Federal de Itajubá (UNIFEI)
repository.mail.fl_str_mv rsd.articles@gmail.com
_version_ 1797052667921432576

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