Heat transfer in laminar flow of non-Newtonian fluids in ducts of elliptical section

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dc.contributor.authorMacedo Maia, Cassio Roberto
dc.contributor.authorAparecido, Joao Batista
dc.contributor.authorMilanez, Luiz Fernando
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Estadual de Campinas (UNICAMP)
dc.date.accessioned2014-05-20T13:29:22Z
dc.date.available2014-05-20T13:29:22Z
dc.date.issued2006-11-01
dc.description.abstractLaminar forced convection inside tubes of various cross-section shapes is of interest in the design of a low Reynolds number heat exchanger apparatus. Heat transfer to thermally developing, hydrodynamically developed forced convection inside tubes of simple geometries such as a circular tube, parallel plate, or annular duct has been well studied in the literature and documented in various books, but for elliptical duct there are not much work done. The main assumption used in this work is a laminar flow of a power flow inside elliptical tube, under a boundary condition of first kind with constant physical properties and negligible axial heat diffusion (high Peclet number). To solve the thermally developing problem, we use the generalized integral transform technique (GITT), also known as Sturm-Liouville transform. Actually, such an integral transform is a generalization of the finite Fourier transform where the sine and cosine functions are replaced by more general sets of orthogonal functions. The axes are algebraically transformed from the Cartesian coordinate system to the elliptical coordinate system in order to avoid the irregular shape of the elliptical duct wall. The GITT is then applied to transform and solve the problem and to obtain the once unknown temperature field. Afterward, it is possible to compute and present the quantities of practical interest, such as the bulk fluid temperature, the local Nusselt number and the average Nusselt number for various cross-section aspect ratios. (C) 2006 Elsevier. SAS. All rights reserved.en
dc.description.affiliationSão Paulo State Univ, UNESP, Coll Engn Ilha Solteira, Dept Mech Engn, BR-15385000 Ilha Solteira, SP, Brazil
dc.description.affiliationUniv Estadual Campinas, UNICAMP, Coll Mech Engn, Dept Energy, BR-13081970 Campinas, SP, Brazil
dc.description.affiliationUnespSão Paulo State Univ, UNESP, Coll Engn Ilha Solteira, Dept Mech Engn, BR-15385000 Ilha Solteira, SP, Brazil
dc.format.extent1066-1072
dc.identifierhttp://dx.doi.org/10.1016/j.ijthermalsci.2006.02.001
dc.identifier.citationInternational Journal of Thermal Sciences. Paris: Elsevier France-editions Scientifiques Medicales Elsevier, v. 45, n. 11, p. 1066-1072, 2006.
dc.identifier.doi10.1016/j.ijthermalsci.2006.02.001
dc.identifier.issn1290-0729
dc.identifier.lattes3462476373574122
dc.identifier.lattes0201002648068135
dc.identifier.urihttp://hdl.handle.net/11449/9898
dc.identifier.wosWOS:000241223600004
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofInternational Journal of Thermal Sciences
dc.relation.ispartofjcr3.361
dc.relation.ispartofsjr1,429
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectnon-newtonian fluidspt
dc.subjectpower law fluidspt
dc.subjectforced convectionpt
dc.subjectintegral transformpt
dc.subjectelliptical tubept
dc.titleHeat transfer in laminar flow of non-Newtonian fluids in ducts of elliptical sectionen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes3462476373574122[1]
unesp.author.lattes0201002648068135
unesp.author.orcid0000-0001-6353-8199[1]
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Ilha Solteirapt

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