Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFPA |
Texto Completo: | http://repositorio.ufpa.br/jspui/handle/2011/3706 |
Resumo: | The Generalized Integral Transform Technique (GITT) is applied to the solution of the momentum equations in a hydrodynamically developing laminar flow of a non-Newtonian power-law fluid inside a circular duct. A primitive variables formulation is adopted in order to avoid the singularity of the auxiliary eigenvalue problem in terms of Bessel functions at the centerline of the duct when the GITT approach is applied. Results for the velocity field and friction factor-Reynolds number product are computed for different power-law indices, which are tabulated and graphically presented as functions of the dimensionless coordinates. Critical comparisons with previous results in the literature are also performed, in order to validate the numerical codes developed in the present work and to demonstrate the consistency of the final results. |
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2013-04-19T12:22:27Z2013-04-19T12:22:27Z2006-03NASCIMENTO, Shirley C. C.; MACEDO, Emanuel N.; QUARESMA, João N. N. Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, Rio de Janeiro, v. 28, n. 1, p. 125-130, jan./mar. 2006. Disponível em: <http://www.scielo.br/pdf/jbsmse/v28n1/28270.pdf>. Acesso em: 10 dez. 2010. <http://dx.doi.org/10.1590/S1678-58782006000100015>.1806-36911678-5878http://repositorio.ufpa.br/jspui/handle/2011/3706The Generalized Integral Transform Technique (GITT) is applied to the solution of the momentum equations in a hydrodynamically developing laminar flow of a non-Newtonian power-law fluid inside a circular duct. A primitive variables formulation is adopted in order to avoid the singularity of the auxiliary eigenvalue problem in terms of Bessel functions at the centerline of the duct when the GITT approach is applied. Results for the velocity field and friction factor-Reynolds number product are computed for different power-law indices, which are tabulated and graphically presented as functions of the dimensionless coordinates. Critical comparisons with previous results in the literature are also performed, in order to validate the numerical codes developed in the present work and to demonstrate the consistency of the final results.engTécnica da Transformada Integral Generalizada (GITT)Fluídos não-newtonianosModelo Power-LawFluído laminar de desenvolvimento hidrodinâmicoFormulação de variáveis primitivasGeneralized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleNASCIMENTO, Shirley Cristina CabralMACÊDO, Emanuel NegrãoQUARESMA, João Nazareno Nonatoinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFPAinstname:Universidade Federal do Pará (UFPA)instacron:UFPAORIGINALArtigo_GeneralizedIntegralTransform.pdfArtigo_GeneralizedIntegralTransform.pdfapplication/pdf169303http://repositorio.ufpa.br/oai/bitstream/2011/3706/1/Artigo_GeneralizedIntegralTransform.pdfb04e560c5e69c2c0ebc51cd5e92dec24MD51CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://repositorio.ufpa.br/oai/bitstream/2011/3706/2/license_urlfd26723f8d7edacdb29e3f03465c3b03MD52license_textlicense_texttext/html; charset=utf-80http://repositorio.ufpa.br/oai/bitstream/2011/3706/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-823599http://repositorio.ufpa.br/oai/bitstream/2011/3706/4/license_rdf9e2b7f6edbd693264102b96ece20428aMD54LICENSElicense.txtlicense.txttext/plain; charset=utf-81996http://repositorio.ufpa.br/oai/bitstream/2011/3706/5/license.txt4b350777eea7a4b1ae7cd9a06fd687a1MD55TEXTArtigo_GeneralizedIntegralTransform.pdf.txtArtigo_GeneralizedIntegralTransform.pdf.txtExtracted texttext/plain26306http://repositorio.ufpa.br/oai/bitstream/2011/3706/6/Artigo_GeneralizedIntegralTransform.pdf.txt4a214b0818815d9b3f852aa48890e2b1MD562011/37062017-10-16 12:57:29.165oai:repositorio.ufpa.br:2011/3706TGljZW7Dp2EgZGUgZGlzdHJpYnVpw6fDo28gbsOjbyBleGNsdXNpdmEgCgpPKHMpIGF1dG9yKGVzKSBvdSBvKHMpIGRldGVudG9yKGVzKSBkb3MgZGlyZWl0b3MgYXV0b3JhaXMgcGVybWl0ZShtKSBhbyBSZXBvc2l0w7NyaW8gSW5zdGl0dWNpb25hbCBkYSBVRlBBIC0gUklVRlBBLCByZXByb2R1emlyLCB0cmFkdXppciBlIGRpc3RyaWJ1aXIgbyBkb2N1bWVudG8gZW50cmVndWUgZW0gZm9ybWF0byBkaWdpdGFsLgogClBvciBmYXZvciwgbGVpYShtKSBvcyB0ZXJtb3MgZGEgbGljZW7Dp2EgZSBjbGlxdWUobSkgZW0gdW0gZG9zIGJvdMO1ZXMgYW8gZmluYWwgZGEgcMOhZ2luYS4gQSBvcMOnw6NvICJBY2VpdGFyIGEgTGljZW7Dp2EiIGluZGljYXLDoSBxdWUgYWNlaXRhKG0pIG9zIHRlcm1vcyBkYSBsaWNlbsOnYS4KCkFvIGF1dG9yaXphciBlc3RhIGxpY2Vuw6dhIHBhcmEgbyBkZXDDs3NpdG8gZSBhY2Vzc28gYW9zIGRvY3VtZW50b3MgZW0gZm9ybWF0byBkaWdpdGFsIG5vIFJJVUZQQSwgdm9jw6oocyksIG8ocykgYXV0b3IoZXMpIG91IHByb3ByaWV0w6FyaW8ocykgZG9zIGRpcmVpdG9zIGF1dG9yYWlzOgpDb25jZWRlKG0pIMOgIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRvIFBhcsOhIC0gVUZQQSwgbyBkaXJlaXRvIG7Do28gZXhjbHVzaXZvIGRlIHJlcHJvZHV6aXIsIHRyYWR1emlyIChjb21vIGRlZmluaWRvIGFiYWl4byksIGUvb3UgZGlzdHJpYnVpciBzdWEgc3VibWlzc8OjbyAoaW5jbHVpbmRvIG8gcmVzdW1vKSwgbXVuZGlhbG1lbnRlLCBlbSBmb3JtYXRvIGltcHJlc3NvIGUgZWxldHLDtG5pY28gZSBlbSBxdWFscXVlciBtZWlvLCBpbmNsdWluZG8sIG1hcyBuw6NvIGxpbWl0YWRvIGEsIMOhdWRpbyBvdSB2w61kZW8uCgpDb25jb3JkYShtKSBxdWUgYSBVRlBBIHBvZGUsIHNlbSBhbHRlcmFyIG8gY29udGXDumRvLCB0cmFkdXppciBhIHN1Ym1pc3PDo28gYSBxdWFscXVlciBtZWlvIG91IGZvcm1hdG8gcGFyYSBvIHByb3DDs3NpdG8gZGUgcHJlc2VydmHDp8Ojby4KCkNvbmNvcmRhKG0pIHF1ZSBVRlBBIHBvZGUgbWFudGVyIG1haXMgZGUgdW1hIGPDs3BpYSBkZXNzYSBzdWJtaXNzw6NvIHBhcmEgZmlucyBkZSBzZWd1cmFuw6dhLCBiYWNrdXAgZSBwcmVzZXJ2YcOnw6NvLgoKRGVjbGFyYShtKSBxdWUgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgbyBzZXUgdHJhYmFsaG8gb3JpZ2luYWwsIHBvciBpc3NvIHTDqm0gbyBkaXJlaXRvIGRlIGNvbmNlZGVyIGVzdGEgbGljZW7Dp2EuIEUgcXVlIGEgc3VibWlzc8OjbyBkbyBkb2N1bWVudG8gYW8gc2V1IGNvbmhlY2ltZW50bywgbsOjbyBpbmZyaW5nZSBvcyBkaXJlaXRvcyBhdXRvcmFpcyBkZSBhbGd1w6ltIG91IGRlIHVtYSBlbnRpZGFkZS4KClNlIG8gZG9jdW1lbnRvIGVudHJlZ3VlIGNvbnTDqW0gbWF0ZXJpYWwgcGFyYSBvIHF1YWwgdm9jw6oocykgbsOjbyB0ZW0gZGlyZWl0b3MgYXV0b3JhaXMsIGRlY2xhcmEobSkgcXVlIG9idGV2ZSh0aXZlcmFtKSBhIHBlcm1pc3PDo28gaXJyZXN0cml0YSBkbyBwcm9wcmlldMOhcmlvIGRvcyBkaXJlaXRvcyBhdXRvcmFpcyBwYXJhIGNvbmNlZGVyKGVtKSDDoCBVRlBBIG9zIGRpcmVpdG9zIHJlcXVlcmlkb3MgcG9yIGVzdGEgbGljZW7Dp2EsIGUgcXVlIG1hdGVyaWFpcyBkZSB0ZXJjZWlyb3MgZXN0w6NvIGNsYXJhbWVudGUgaWRlbnRpZmljYWRvcyBlIHJlY29uaGVjaWRvcyBubyB0ZXh0byBvdSBjb250ZcO6ZG8gZGEgYXByZXNlbnRhw6fDo28uCgpTZSBhIHN1Ym1pc3PDo28gw6kgYmFzZWFkYSBubyB0cmFiYWxobyBxdWUgdGVtIHNpZG8gcGF0cm9jaW5hZG8gb3UgYXBvaWFkbyBwb3IgdW0gw5NyZ8OjbyBvdSBvdXRyYSBPcmdhbml6YcOnw6NvIHF1ZSBuw6NvIHNlamEgYSBVRlBBLCB2b2PDqihzKSBkZWNsYXJhKG0pIHRlcihlbSkgY3VtcHJpZG8gcXVhbHF1ZXIgZGlyZWl0byBkZSByZXZpc8OjbyBvdSBvdXRyYXMgb2JyaWdhw6fDtWVzIHJlcXVlcmlkYXMgcGVsbyBjb250cmF0byBvdSBhY29yZG8uCg==Repositório InstitucionalPUBhttp://repositorio.ufpa.br/oai/requestriufpabc@ufpa.bropendoar:21232017-10-16T15:57:29Repositório Institucional da UFPA - Universidade Federal do Pará (UFPA)false |
dc.title.pt_BR.fl_str_mv |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes |
title |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes |
spellingShingle |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes NASCIMENTO, Shirley Cristina Cabral Técnica da Transformada Integral Generalizada (GITT) Fluídos não-newtonianos Modelo Power-Law Fluído laminar de desenvolvimento hidrodinâmico Formulação de variáveis primitivas |
title_short |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes |
title_full |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes |
title_fullStr |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes |
title_full_unstemmed |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes |
title_sort |
Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes |
author |
NASCIMENTO, Shirley Cristina Cabral |
author_facet |
NASCIMENTO, Shirley Cristina Cabral MACÊDO, Emanuel Negrão QUARESMA, João Nazareno Nonato |
author_role |
author |
author2 |
MACÊDO, Emanuel Negrão QUARESMA, João Nazareno Nonato |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
NASCIMENTO, Shirley Cristina Cabral MACÊDO, Emanuel Negrão QUARESMA, João Nazareno Nonato |
dc.subject.por.fl_str_mv |
Técnica da Transformada Integral Generalizada (GITT) Fluídos não-newtonianos Modelo Power-Law Fluído laminar de desenvolvimento hidrodinâmico Formulação de variáveis primitivas |
topic |
Técnica da Transformada Integral Generalizada (GITT) Fluídos não-newtonianos Modelo Power-Law Fluído laminar de desenvolvimento hidrodinâmico Formulação de variáveis primitivas |
description |
The Generalized Integral Transform Technique (GITT) is applied to the solution of the momentum equations in a hydrodynamically developing laminar flow of a non-Newtonian power-law fluid inside a circular duct. A primitive variables formulation is adopted in order to avoid the singularity of the auxiliary eigenvalue problem in terms of Bessel functions at the centerline of the duct when the GITT approach is applied. Results for the velocity field and friction factor-Reynolds number product are computed for different power-law indices, which are tabulated and graphically presented as functions of the dimensionless coordinates. Critical comparisons with previous results in the literature are also performed, in order to validate the numerical codes developed in the present work and to demonstrate the consistency of the final results. |
publishDate |
2006 |
dc.date.issued.fl_str_mv |
2006-03 |
dc.date.accessioned.fl_str_mv |
2013-04-19T12:22:27Z |
dc.date.available.fl_str_mv |
2013-04-19T12:22:27Z |
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.citation.fl_str_mv |
NASCIMENTO, Shirley C. C.; MACEDO, Emanuel N.; QUARESMA, João N. N. Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, Rio de Janeiro, v. 28, n. 1, p. 125-130, jan./mar. 2006. Disponível em: <http://www.scielo.br/pdf/jbsmse/v28n1/28270.pdf>. Acesso em: 10 dez. 2010. <http://dx.doi.org/10.1590/S1678-58782006000100015>. |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufpa.br/jspui/handle/2011/3706 |
dc.identifier.issn.none.fl_str_mv |
1806-3691 1678-5878 |
identifier_str_mv |
NASCIMENTO, Shirley C. C.; MACEDO, Emanuel N.; QUARESMA, João N. N. Generalized integral transform solution for hydrodynamically developing non-Newtonian flows in circular tubes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, Rio de Janeiro, v. 28, n. 1, p. 125-130, jan./mar. 2006. Disponível em: <http://www.scielo.br/pdf/jbsmse/v28n1/28270.pdf>. Acesso em: 10 dez. 2010. <http://dx.doi.org/10.1590/S1678-58782006000100015>. 1806-3691 1678-5878 |
url |
http://repositorio.ufpa.br/jspui/handle/2011/3706 |
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eng |
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eng |
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openAccess |
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Universidade Federal do Pará (UFPA) |
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UFPA |
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UFPA |
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Repositório Institucional da UFPA |
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