Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados

Detalhes bibliográficos
Ano de defesa: 2017
Autor(a) principal: Pimenta, Bruna Dalcin lattes
Orientador(a): Robaina, Adroaldo Dias lattes
Banca de defesa: Schons, Ricardo Luis lattes, Pereira, Tonismar dos Santos lattes
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: por
Instituição de defesa: Universidade Federal de Santa Maria
Centro de Ciências Rurais
Programa de Pós-Graduação: Programa de Pós-Graduação em Engenharia Agrícola
Departamento: Engenharia Agrícola
País: Brasil
Palavras-chave em Português:
Palavras-chave em Inglês:
Área do conhecimento CNPq:
Link de acesso: http://repositorio.ufsm.br/handle/1/11739
Resumo: One of the parameters involved in the design of pressurized hydraulic systems is the pressure drop of the pipes. This verification can be performed through the Darcy-Weisbach formulation, which considers a coefficient of loss of charge (f) that can be measured by the implicit Colebrook-White equation. However, for this determination it is necessary to use numerical methods. Numerous explicit approaches have been proposed to estimate the "f", with different precisions and complexity. Considering the above, the objective of this work is to analyze the explicit approximations of the pressure loss coefficient for pressurized conduits in relation to the Colebrook-White formulation, through the relative performance and error index, determining the most accurate ones so that they can replace the standard Implied for the turbulent flow regime. It was analyzed 29 explicit equations in the literature, determining the coefficient of loss of charge through Reynolds number values in the range of 4x10³ ≤ Re ≤ 108 and relative roughness of 10-6 ≤ Ɛ / D ≤ 5x10-2, obtaining 160 points for each equation, totaling 4800 points. Statistical analysis was performed by the performance index (Id) and the relative error (ER) of the explicit equations in relation to Colebrook-White. The equations of Chen (1979), Shacham (1980), Sonnad Goudar (2006), Buzzelli (2008), Vantankhah and Kouchakzadeh (2008), Fang et al. (2011) and Offor and Alabi (2016a) apply for the entire range of 4x10³ ≤ Re ≤ 108 and 10-6 ≤ Ɛ / D ≤ 5x10-2, and presented high “Id” and high precision, the latter being highlighted by extreme precision, which is indicated to replace the use of the Colebrook-White standard approximation.
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spelling 2017-09-25T12:59:09Z2017-09-25T12:59:09Z2017-07-07http://repositorio.ufsm.br/handle/1/11739One of the parameters involved in the design of pressurized hydraulic systems is the pressure drop of the pipes. This verification can be performed through the Darcy-Weisbach formulation, which considers a coefficient of loss of charge (f) that can be measured by the implicit Colebrook-White equation. However, for this determination it is necessary to use numerical methods. Numerous explicit approaches have been proposed to estimate the "f", with different precisions and complexity. Considering the above, the objective of this work is to analyze the explicit approximations of the pressure loss coefficient for pressurized conduits in relation to the Colebrook-White formulation, through the relative performance and error index, determining the most accurate ones so that they can replace the standard Implied for the turbulent flow regime. It was analyzed 29 explicit equations in the literature, determining the coefficient of loss of charge through Reynolds number values in the range of 4x10³ ≤ Re ≤ 108 and relative roughness of 10-6 ≤ Ɛ / D ≤ 5x10-2, obtaining 160 points for each equation, totaling 4800 points. Statistical analysis was performed by the performance index (Id) and the relative error (ER) of the explicit equations in relation to Colebrook-White. The equations of Chen (1979), Shacham (1980), Sonnad Goudar (2006), Buzzelli (2008), Vantankhah and Kouchakzadeh (2008), Fang et al. (2011) and Offor and Alabi (2016a) apply for the entire range of 4x10³ ≤ Re ≤ 108 and 10-6 ≤ Ɛ / D ≤ 5x10-2, and presented high “Id” and high precision, the latter being highlighted by extreme precision, which is indicated to replace the use of the Colebrook-White standard approximation.Um dos parâmetros envolvido no dimensionamento de sistemas hidráulicos pressurizados é a perda de carga das tubulações. Essa verificação pode ser realizada através da formulação de Darcy-Weisbach, que considera um coeficiente de perda de carga (f) que pode ser mensurado pela equação implícita de Colebrook-White. Porém, para essa determinação é necessário utilizar métodos numéricos. Numerosas aproximações explícitas têm sido propostas para estimar o “f”, com diferentes precisões e complexidade. Diante do exposto, o objetivo desse trabalho é analisar as aproximações explícitas do coeficiente de perda de carga para condutos pressurizados em relação a formulação de Colebrook-White, através do índice de desempenho e erro relativo, determinando as mais precisas para que possam substituir a padrão implícita, para o regime de fluxo turbulento. Foi analisado 29 equações explícitas presentes na literatura, determinando o coeficiente de perda de carga através de valores do número de Reynolds na faixa de 4x10³ ≤ Re ≤ 108 e rugosidade relativa de 10-6 ≤ Ɛ/D ≤ 5x10-2, obtendo 160 pontos para cada equação, totalizando 4800 pontos. A análise estatística foi realizada pelo índide de desempenho (Id) e pelo erro relativo (ER) das equações explícitas em relação à Colebrook-White. As equações de Chen (1979), Shacham (1980), Sonnad Goudar (2006), Buzzelli (2008), Vantankhah e Kouchakzadeh (2008), Fang et al. (2011) e Offor e Alabi (2016a) se aplicam para todo intervalo de 4x10³ ≤ Re ≤ 108 e 10-6 ≤ Ɛ/D ≤ 5x10-2, e apresentaram elevado Id e elevada precisão, destacando-se a última por extrema precisão, sendo esta a indicada para substituir o uso da aproximação padrão de Colebrook-White.Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPqporUniversidade Federal de Santa MariaCentro de Ciências RuraisPrograma de Pós-Graduação em Engenharia AgrícolaUFSMBrasilEngenharia AgrícolaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessPerda de carga contínuaDarcy-WeisbachColebrook-whiteRegime de fluxo turbulentoContinuous load lossColebrook-whiteTurbulent flow regimeCNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLAAnálise de formulações explícitas do coeficiente de perda de carga em condutos pressurizadosAnalysis of explicit formulations of the pressure loss coefficient in pressurized conduitsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisRobaina, Adroaldo Diashttp://lattes.cnpq.br/8629241691140049Peiter, Marcia Xavierhttp://lattes.cnpq.br/4072803412132476Schons, Ricardo Luishttp://lattes.cnpq.br/9875030355020810Pereira, Tonismar dos Santoshttp://lattes.cnpq.br/4636801615303022http://lattes.cnpq.br/4356461032499240Pimenta, Bruna Dalcin500300000008600a461031e-e4dd-4408-ac4e-e2eea463cc6142ceb10f-44cd-4260-867b-a18cbe464bd764137f39-49b9-457c-8a82-0be35262315c7eabaa81-4874-4216-9f04-f8d72e2a843cd298f023-cfa4-4734-b0f1-1b0379fed72breponame:Manancial - Repositório Digital da UFSMinstname:Universidade Federal de Santa Maria (UFSM)instacron:UFSMORIGINALPimenta, Bruna Dalcin.pdfPimenta, Bruna Dalcin.pdfDissertação de Mestradoapplication/pdf2062296http://repositorio.ufsm.br/bitstream/1/11739/1/Pimenta%2c%20Bruna%20Dalcin.pdf42a69ab1ba447b97469fa1ebdf2abe69MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; 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dc.title.por.fl_str_mv Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
dc.title.alternative.eng.fl_str_mv Analysis of explicit formulations of the pressure loss coefficient in pressurized conduits
title Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
spellingShingle Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
Pimenta, Bruna Dalcin
Perda de carga contínua
Darcy-Weisbach
Colebrook-white
Regime de fluxo turbulento
Continuous load loss
Colebrook-white
Turbulent flow regime
CNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLA
title_short Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
title_full Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
title_fullStr Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
title_full_unstemmed Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
title_sort Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
author Pimenta, Bruna Dalcin
author_facet Pimenta, Bruna Dalcin
author_role author
dc.contributor.advisor1.fl_str_mv Robaina, Adroaldo Dias
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/8629241691140049
dc.contributor.advisor-co1.fl_str_mv Peiter, Marcia Xavier
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/4072803412132476
dc.contributor.referee1.fl_str_mv Schons, Ricardo Luis
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/9875030355020810
dc.contributor.referee2.fl_str_mv Pereira, Tonismar dos Santos
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/4636801615303022
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/4356461032499240
dc.contributor.author.fl_str_mv Pimenta, Bruna Dalcin
contributor_str_mv Robaina, Adroaldo Dias
Peiter, Marcia Xavier
Schons, Ricardo Luis
Pereira, Tonismar dos Santos
dc.subject.por.fl_str_mv Perda de carga contínua
Darcy-Weisbach
Colebrook-white
Regime de fluxo turbulento
topic Perda de carga contínua
Darcy-Weisbach
Colebrook-white
Regime de fluxo turbulento
Continuous load loss
Colebrook-white
Turbulent flow regime
CNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLA
dc.subject.eng.fl_str_mv Continuous load loss
Colebrook-white
Turbulent flow regime
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS AGRARIAS::ENGENHARIA AGRICOLA
description One of the parameters involved in the design of pressurized hydraulic systems is the pressure drop of the pipes. This verification can be performed through the Darcy-Weisbach formulation, which considers a coefficient of loss of charge (f) that can be measured by the implicit Colebrook-White equation. However, for this determination it is necessary to use numerical methods. Numerous explicit approaches have been proposed to estimate the "f", with different precisions and complexity. Considering the above, the objective of this work is to analyze the explicit approximations of the pressure loss coefficient for pressurized conduits in relation to the Colebrook-White formulation, through the relative performance and error index, determining the most accurate ones so that they can replace the standard Implied for the turbulent flow regime. It was analyzed 29 explicit equations in the literature, determining the coefficient of loss of charge through Reynolds number values in the range of 4x10³ ≤ Re ≤ 108 and relative roughness of 10-6 ≤ Ɛ / D ≤ 5x10-2, obtaining 160 points for each equation, totaling 4800 points. Statistical analysis was performed by the performance index (Id) and the relative error (ER) of the explicit equations in relation to Colebrook-White. The equations of Chen (1979), Shacham (1980), Sonnad Goudar (2006), Buzzelli (2008), Vantankhah and Kouchakzadeh (2008), Fang et al. (2011) and Offor and Alabi (2016a) apply for the entire range of 4x10³ ≤ Re ≤ 108 and 10-6 ≤ Ɛ / D ≤ 5x10-2, and presented high “Id” and high precision, the latter being highlighted by extreme precision, which is indicated to replace the use of the Colebrook-White standard approximation.
publishDate 2017
dc.date.accessioned.fl_str_mv 2017-09-25T12:59:09Z
dc.date.available.fl_str_mv 2017-09-25T12:59:09Z
dc.date.issued.fl_str_mv 2017-07-07
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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url http://repositorio.ufsm.br/handle/1/11739
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dc.rights.driver.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Rurais
dc.publisher.program.fl_str_mv Programa de Pós-Graduação em Engenharia Agrícola
dc.publisher.initials.fl_str_mv UFSM
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Engenharia Agrícola
publisher.none.fl_str_mv Universidade Federal de Santa Maria
Centro de Ciências Rurais
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