Análise de formulações explícitas do coeficiente de perda de carga em condutos pressurizados
Ano de defesa: | 2017 |
---|---|
Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | , |
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. |
id |
UFSM-20_fea3d713a064cbd4eb9a979f41315859 |
---|---|
oai_identifier_str |
oai:repositorio.ufsm.br:1/11739 |
network_acronym_str |
UFSM-20 |
network_name_str |
Manancial - Repositório Digital da UFSM |
repository_id_str |
|
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; charset=utf-8804http://repositorio.ufsm.br/bitstream/1/11739/2/license_rdfc1efe8e24d7281448e873be30ea326ffMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81956http://repositorio.ufsm.br/bitstream/1/11739/3/license.txt2f0571ecee68693bd5cd3f17c1e075dfMD53TEXTPimenta, Bruna Dalcin.pdf.txtPimenta, Bruna Dalcin.pdf.txtExtracted texttext/plain121160http://repositorio.ufsm.br/bitstream/1/11739/4/Pimenta%2c%20Bruna%20Dalcin.pdf.txt92f99873deb36ed3bd96a3a8b687d9c5MD54THUMBNAILPimenta, Bruna Dalcin.pdf.jpgPimenta, Bruna Dalcin.pdf.jpgIM Thumbnailimage/jpeg4749http://repositorio.ufsm.br/bitstream/1/11739/5/Pimenta%2c%20Bruna%20Dalcin.pdf.jpgc0561fdb88e3e32ba1c9d3db98a86828MD551/117392022-06-27 10:28:43.858oai:repositorio.ufsm.br:1/11739TElDRU7Dh0EgREUgRElTVFJJQlVJw4fDg08gTsODTy1FWENMVVNJVkEKCkNvbSBhIGFwcmVzZW50YcOnw6NvIGRlc3RhIGxpY2Vuw6dhLCB2b2PDqiAobyBhdXRvciAoZXMpIG91IG8gdGl0dWxhciBkb3MgZGlyZWl0b3MgZGUgYXV0b3IpIGNvbmNlZGUgw6AgVW5pdmVyc2lkYWRlCkZlZGVyYWwgZGUgU2FudGEgTWFyaWEgKFVGU00pIG8gZGlyZWl0byBuw6NvLWV4Y2x1c2l2byBkZSByZXByb2R1emlyLCAgdHJhZHV6aXIgKGNvbmZvcm1lIGRlZmluaWRvIGFiYWl4byksIGUvb3UKZGlzdHJpYnVpciBhIHN1YSB0ZXNlIG91IGRpc3NlcnRhw6fDo28gKGluY2x1aW5kbyBvIHJlc3VtbykgcG9yIHRvZG8gbyBtdW5kbyBubyBmb3JtYXRvIGltcHJlc3NvIGUgZWxldHLDtG5pY28gZQplbSBxdWFscXVlciBtZWlvLCBpbmNsdWluZG8gb3MgZm9ybWF0b3Mgw6F1ZGlvIG91IHbDrWRlby4KClZvY8OqIGNvbmNvcmRhIHF1ZSBhIFVGU00gcG9kZSwgc2VtIGFsdGVyYXIgbyBjb250ZcO6ZG8sIHRyYW5zcG9yIGEgc3VhIHRlc2Ugb3UgZGlzc2VydGHDp8OjbwpwYXJhIHF1YWxxdWVyIG1laW8gb3UgZm9ybWF0byBwYXJhIGZpbnMgZGUgcHJlc2VydmHDp8Ojby4KClZvY8OqIHRhbWLDqW0gY29uY29yZGEgcXVlIGEgVUZTTSBwb2RlIG1hbnRlciBtYWlzIGRlIHVtYSBjw7NwaWEgYSBzdWEgdGVzZSBvdQpkaXNzZXJ0YcOnw6NvIHBhcmEgZmlucyBkZSBzZWd1cmFuw6dhLCBiYWNrLXVwIGUgcHJlc2VydmHDp8Ojby4KClZvY8OqIGRlY2xhcmEgcXVlIGEgc3VhIHRlc2Ugb3UgZGlzc2VydGHDp8OjbyDDqSBvcmlnaW5hbCBlIHF1ZSB2b2PDqiB0ZW0gbyBwb2RlciBkZSBjb25jZWRlciBvcyBkaXJlaXRvcyBjb250aWRvcwpuZXN0YSBsaWNlbsOnYS4gVm9jw6ogdGFtYsOpbSBkZWNsYXJhIHF1ZSBvIGRlcMOzc2l0byBkYSBzdWEgdGVzZSBvdSBkaXNzZXJ0YcOnw6NvIG7Do28sIHF1ZSBzZWphIGRlIHNldQpjb25oZWNpbWVudG8sIGluZnJpbmdlIGRpcmVpdG9zIGF1dG9yYWlzIGRlIG5pbmd1w6ltLgoKQ2FzbyBhIHN1YSB0ZXNlIG91IGRpc3NlcnRhw6fDo28gY29udGVuaGEgbWF0ZXJpYWwgcXVlIHZvY8OqIG7Do28gcG9zc3VpIGEgdGl0dWxhcmlkYWRlIGRvcyBkaXJlaXRvcyBhdXRvcmFpcywgdm9jw6oKZGVjbGFyYSBxdWUgb2J0ZXZlIGEgcGVybWlzc8OjbyBpcnJlc3RyaXRhIGRvIGRldGVudG9yIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBwYXJhIGNvbmNlZGVyIMOgIFVGU00Kb3MgZGlyZWl0b3MgYXByZXNlbnRhZG9zIG5lc3RhIGxpY2Vuw6dhLCBlIHF1ZSBlc3NlIG1hdGVyaWFsIGRlIHByb3ByaWVkYWRlIGRlIHRlcmNlaXJvcyBlc3TDoSBjbGFyYW1lbnRlCmlkZW50aWZpY2FkbyBlIHJlY29uaGVjaWRvIG5vIHRleHRvIG91IG5vIGNvbnRlw7pkbyBkYSB0ZXNlIG91IGRpc3NlcnRhw6fDo28gb3JhIGRlcG9zaXRhZGEuCgpDQVNPIEEgVEVTRSBPVSBESVNTRVJUQcOHw4NPIE9SQSBERVBPU0lUQURBIFRFTkhBIFNJRE8gUkVTVUxUQURPIERFIFVNIFBBVFJPQ8ONTklPIE9VCkFQT0lPIERFIFVNQSBBR8OKTkNJQSBERSBGT01FTlRPIE9VIE9VVFJPIE9SR0FOSVNNTyBRVUUgTsODTyBTRUpBIEEgVUZTTQosIFZPQ8OKIERFQ0xBUkEgUVVFIFJFU1BFSVRPVSBUT0RPUyBFIFFVQUlTUVVFUiBESVJFSVRPUyBERSBSRVZJU8ODTyBDT01PClRBTULDiU0gQVMgREVNQUlTIE9CUklHQcOHw5VFUyBFWElHSURBUyBQT1IgQ09OVFJBVE8gT1UgQUNPUkRPLgoKQSBVRlNNIHNlIGNvbXByb21ldGUgYSBpZGVudGlmaWNhciBjbGFyYW1lbnRlIG8gc2V1IG5vbWUgKHMpIG91IG8ocykgbm9tZShzKSBkbyhzKQpkZXRlbnRvcihlcykgZG9zIGRpcmVpdG9zIGF1dG9yYWlzIGRhIHRlc2Ugb3UgZGlzc2VydGHDp8OjbywgZSBuw6NvIGZhcsOhIHF1YWxxdWVyIGFsdGVyYcOnw6NvLCBhbMOpbSBkYXF1ZWxhcwpjb25jZWRpZGFzIHBvciBlc3RhIGxpY2Vuw6dhLgoKRepositório Institucionalhttp://repositorio.ufsm.br/PUBhttp://repositorio.ufsm.br/oai/requestopendoar:39132022-06-27T13:28:43Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM)false |
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 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/masterThesis |
format |
masterThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufsm.br/handle/1/11739 |
url |
http://repositorio.ufsm.br/handle/1/11739 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.relation.cnpq.fl_str_mv |
500300000008 |
dc.relation.confidence.fl_str_mv |
600 |
dc.relation.authority.fl_str_mv |
a461031e-e4dd-4408-ac4e-e2eea463cc61 42ceb10f-44cd-4260-867b-a18cbe464bd7 64137f39-49b9-457c-8a82-0be35262315c 7eabaa81-4874-4216-9f04-f8d72e2a843c d298f023-cfa4-4734-b0f1-1b0379fed72b |
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 |
dc.source.none.fl_str_mv |
reponame:Manancial - Repositório Digital da UFSM instname:Universidade Federal de Santa Maria (UFSM) instacron:UFSM |
instname_str |
Universidade Federal de Santa Maria (UFSM) |
instacron_str |
UFSM |
institution |
UFSM |
reponame_str |
Manancial - Repositório Digital da UFSM |
collection |
Manancial - Repositório Digital da UFSM |
bitstream.url.fl_str_mv |
http://repositorio.ufsm.br/bitstream/1/11739/1/Pimenta%2c%20Bruna%20Dalcin.pdf http://repositorio.ufsm.br/bitstream/1/11739/2/license_rdf http://repositorio.ufsm.br/bitstream/1/11739/3/license.txt http://repositorio.ufsm.br/bitstream/1/11739/4/Pimenta%2c%20Bruna%20Dalcin.pdf.txt http://repositorio.ufsm.br/bitstream/1/11739/5/Pimenta%2c%20Bruna%20Dalcin.pdf.jpg |
bitstream.checksum.fl_str_mv |
42a69ab1ba447b97469fa1ebdf2abe69 c1efe8e24d7281448e873be30ea326ff 2f0571ecee68693bd5cd3f17c1e075df 92f99873deb36ed3bd96a3a8b687d9c5 c0561fdb88e3e32ba1c9d3db98a86828 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 |
repository.name.fl_str_mv |
Manancial - Repositório Digital da UFSM - Universidade Federal de Santa Maria (UFSM) |
repository.mail.fl_str_mv |
|
_version_ |
1801223962488733696 |