Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ducts

Detalhes bibliográficos
Autor(a) principal: Reis, Marcello Charpinel
Data de Publicação: 2018
Outros Autores: Sphaier, Leandro Alcoforado, Alves, Leonardo Santos de Brito, Cotta, Renato Machado
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8283
Resumo: 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.
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spelling Approximate analytical methodology for calculating friction factors in flow through polygonal cross section ductsLumped-capacitance formulationArbitrary geometryFriction factorMathematical modelingCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSAn 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.Indisponível.Springer Berlin HeidelbergBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidos2019-06-03T18:10:15Z2023-12-21T03:05:56Z2018-01-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1806-3691http://hdl.handle.net/11422/828310.1007/s40430-018-1019-6engJournal of the Brazilian Society of Mechanical Sciences and EngineeringReis, Marcello CharpinelSphaier, Leandro AlcoforadoAlves, Leonardo Santos de BritoCotta, Renato Machadoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJ2023-12-21T03:05:56Zoai:pantheon.ufrj.br:11422/8283Repositório InstitucionalPUBhttp://www.pantheon.ufrj.br/oai/requestpantheon@sibi.ufrj.bropendoar:2023-12-21T03:05:56Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.none.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
Lumped-capacitance formulation
Arbitrary geometry
Friction factor
Mathematical modeling
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
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.por.fl_str_mv Lumped-capacitance formulation
Arbitrary geometry
Friction factor
Mathematical modeling
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic Lumped-capacitance formulation
Arbitrary geometry
Friction factor
Mathematical modeling
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
description 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.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-24
2019-06-03T18:10:15Z
2023-12-21T03:05:56Z
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 1806-3691
http://hdl.handle.net/11422/8283
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.none.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
Brasil
Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Springer Berlin Heidelberg
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_ 1815455990258073600

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