Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRJ |
Texto Completo: | http://hdl.handle.net/11422/8283 |
Resumo: | Indisponível. |
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Reis, Marcello CharpinelSphaier, Leandro AlcoforadoAlves, Leonardo Santos de BritoCotta, Renato Machado2019-06-03T18:10:15Z2023-11-30T03:03:28Z2018-01-241806-3691http://hdl.handle.net/11422/828310.1007/s40430-018-1019-6Indisponível.An approximate analytical methodology for calculating the friction factor within ducts of irregular cross-section is herein proposed. The approximations are developed by transforming the original governing PDEs into simpler ODEs, using approximation rules provided by the coupled integral equations approach. The transformed system is directly integrated and analytical solutions for the friction factor are readily obtained. Four different approximation cases are analyzed, which yield simple closed-form expressions for calculating the friction factor in terms of geometric parameters for rectangular, triangular, and trapezoidal ducts. The results of these expressions are compared with literature data, and very reasonable agreement is seen. After performing an error analysis of the results, regions for applicability of the methodology where accuracy requirements can be maintained are highlighted. Finally, enhanced approximation formulas yielding maximum errors as low as 3% are developed by using simple weighted averages of different approximation cases.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-06-03T18:10:15Z No. of bitstreams: 1 9-2018_Approximate-analytical-methodology-for-calculating-friction-factors-min.pdf: 706075 bytes, checksum: a8c091b2799072e7b31bb8111e970269 (MD5)Made available in DSpace on 2019-06-03T18:10:15Z (GMT). No. of bitstreams: 1 9-2018_Approximate-analytical-methodology-for-calculating-friction-factors-min.pdf: 706075 bytes, checksum: a8c091b2799072e7b31bb8111e970269 (MD5) Previous issue date: 2018-01-24engSpringer Berlin HeidelbergBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosJournal of the Brazilian Society of Mechanical Sciences and EngineeringCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSLumped-capacitance formulationArbitrary geometryFriction factorMathematical modelingApproximate analytical methodology for calculating friction factors in flow through polygonal cross section ductsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article40365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL9-2018_Approximate-analytical-methodology-for-calculating-friction-factors-min.pdf9-2018_Approximate-analytical-methodology-for-calculating-friction-factors-min.pdfapplication/pdf706075http://pantheon.ufrj.br:80/bitstream/11422/8283/1/9-2018_Approximate-analytical-methodology-for-calculating-friction-factors-min.pdfa8c091b2799072e7b31bb8111e970269MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8283/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/82832023-11-30 00:03:28.574oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:28Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false |
dc.title.en.fl_str_mv |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts |
title |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts |
spellingShingle |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts Reis, Marcello Charpinel CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS Lumped-capacitance formulation Arbitrary geometry Friction factor Mathematical modeling |
title_short |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts |
title_full |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts |
title_fullStr |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts |
title_full_unstemmed |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts |
title_sort |
Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts |
author |
Reis, Marcello Charpinel |
author_facet |
Reis, Marcello Charpinel Sphaier, Leandro Alcoforado Alves, Leonardo Santos de Brito Cotta, Renato Machado |
author_role |
author |
author2 |
Sphaier, Leandro Alcoforado Alves, Leonardo Santos de Brito Cotta, Renato Machado |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Reis, Marcello Charpinel Sphaier, Leandro Alcoforado Alves, Leonardo Santos de Brito 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 Lumped-capacitance formulation Arbitrary geometry Friction factor Mathematical modeling |
dc.subject.eng.fl_str_mv |
Lumped-capacitance formulation Arbitrary geometry Friction factor Mathematical modeling |
description |
Indisponível. |
publishDate |
2018 |
dc.date.issued.fl_str_mv |
2018-01-24 |
dc.date.accessioned.fl_str_mv |
2019-06-03T18:10:15Z |
dc.date.available.fl_str_mv |
2023-11-30T03:03:28Z |
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/11422/8283 |
dc.identifier.issn.pt_BR.fl_str_mv |
1806-3691 |
dc.identifier.doi.pt_BR.fl_str_mv |
10.1007/s40430-018-1019-6 |
identifier_str_mv |
1806-3691 10.1007/s40430-018-1019-6 |
url |
http://hdl.handle.net/11422/8283 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.en.fl_str_mv |
Journal of the Brazilian Society of Mechanical Sciences and Engineering |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Springer Berlin Heidelberg |
dc.publisher.country.fl_str_mv |
Brasil |
dc.publisher.department.fl_str_mv |
Núcleo Interdisciplinar de Dinâmica dos Fluidos |
publisher.none.fl_str_mv |
Springer Berlin Heidelberg |
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 |
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UFRJ |
reponame_str |
Repositório Institucional da UFRJ |
collection |
Repositório Institucional da UFRJ |
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