Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation

Detalhes bibliográficos
Autor(a) principal: Silva, Carlos Alexandre Moreira da
Data de Publicação: 2010
Outros Autores: Macêdo, Emanuel Negrão, Quaresma, João Nazareno Nonato, Pereira, Luiz Mariano, Cotta, Renato Machado
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8659
Resumo: Indisponível.
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spelling Silva, Carlos Alexandre Moreira daMacêdo, Emanuel NegrãoQuaresma, João Nazareno NonatoPereira, Luiz MarianoCotta, Renato Machado2019-07-04T16:00:45Z2023-11-30T03:00:31Z2010-10-282040-7939http://hdl.handle.net/11422/865910.1002/cnm.1222Indisponível.A hybrid numerical–analytical solution based on the generalized integral transform technique is proposed to handle the two‐dimensional Navier–Stokes equations in cylindrical coordinates, expressed in terms of the streamfunction‐only formulation. The proposed methodology is illustrated in solving steady‐state incompressible laminar flow of Newtonian fluids in the developing region of a circular tube. The flow modeling also considers two limiting inlet conditions, namely, uniform velocity profile representing a parallel flow, and zero vorticity that characterizes irrotational inlet flow. The integral transform analysis for such a full cylindrical region brings up singularities at the channel centerline, and, as previously described in a work dealing with the boundary‐layer formulation, a way to alleviate this difficulty is to adopt a recently introduced fourth‐order eigenvalue problem as the basis for the eigenfunction expansion. A thorough convergence analysis of the proposed expansion is then undertaken, for different values of Reynolds number, and a set of reference results for the velocity distributions and friction factors are then presented in tabular and graphical forms.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-07-04T16:00:45Z No. of bitstreams: 1 2010_COTTA_CNME_v26_p1417-1434-min.pdf: 590631 bytes, checksum: 810055efdc402f6d2a744085fcefbe9e (MD5)Made available in DSpace on 2019-07-04T16:00:45Z (GMT). No. of bitstreams: 1 2010_COTTA_CNME_v26_p1417-1434-min.pdf: 590631 bytes, checksum: 810055efdc402f6d2a744085fcefbe9e (MD5) Previous issue date: 2010-10-28engWileyBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosInternational Journal for Numerical Methods in Biomedical EngineeringCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSNavier–Stokes equationsHydrodynamically developing flowCircular tubesIntegral transformsHybrid methodsFriction factorIntegral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulationinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article261114171434365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2010_COTTA_CNME_v26_p1417-1434-min.pdf2010_COTTA_CNME_v26_p1417-1434-min.pdfapplication/pdf590631http://pantheon.ufrj.br:80/bitstream/11422/8659/1/2010_COTTA_CNME_v26_p1417-1434-min.pdf810055efdc402f6d2a744085fcefbe9eMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8659/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/86592023-11-30 00:00:31.21oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:00:31Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
title Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
spellingShingle Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
Silva, Carlos Alexandre Moreira da
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Navier–Stokes equations
Hydrodynamically developing flow
Circular tubes
Integral transforms
Hybrid methods
Friction factor
title_short Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
title_full Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
title_fullStr Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
title_full_unstemmed Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
title_sort Integral transform solution of the Navier–Stokes equations in full cylindrical regions with streamfunction formulation
author Silva, Carlos Alexandre Moreira da
author_facet Silva, Carlos Alexandre Moreira da
Macêdo, Emanuel Negrão
Quaresma, João Nazareno Nonato
Pereira, Luiz Mariano
Cotta, Renato Machado
author_role author
author2 Macêdo, Emanuel Negrão
Quaresma, João Nazareno Nonato
Pereira, Luiz Mariano
Cotta, Renato Machado
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Silva, Carlos Alexandre Moreira da
Macêdo, Emanuel Negrão
Quaresma, João Nazareno Nonato
Pereira, Luiz Mariano
Cotta, Renato Machado
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Navier–Stokes equations
Hydrodynamically developing flow
Circular tubes
Integral transforms
Hybrid methods
Friction factor
dc.subject.eng.fl_str_mv Navier–Stokes equations
Hydrodynamically developing flow
Circular tubes
Integral transforms
Hybrid methods
Friction factor
description Indisponível.
publishDate 2010
dc.date.issued.fl_str_mv 2010-10-28
dc.date.accessioned.fl_str_mv 2019-07-04T16:00:45Z
dc.date.available.fl_str_mv 2023-11-30T03:00:31Z
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 http://hdl.handle.net/11422/8659
dc.identifier.issn.pt_BR.fl_str_mv 2040-7939
dc.identifier.doi.pt_BR.fl_str_mv 10.1002/cnm.1222
identifier_str_mv 2040-7939
10.1002/cnm.1222
url http://hdl.handle.net/11422/8659
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv International Journal for Numerical Methods in Biomedical Engineering
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Wiley
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Wiley
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
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8659/1/2010_COTTA_CNME_v26_p1417-1434-min.pdf
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