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

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorMacedo Maia, Cassio Roberto
dc.creatorAparecido, Joao Batista
dc.creatorMilanez, Luiz Fernando
dc.date2014-05-20T13:29:22Z
dc.date2016-10-25T16:48:44Z
dc.date2014-05-20T13:29:22Z
dc.date2016-10-25T16:48:44Z
dc.date2006-11-01
dc.date.accessioned2017-04-05T20:13:48Z
dc.date.available2017-04-05T20:13:48Z
dc.identifierInternational Journal of Thermal Sciences. Paris: Elsevier France-editions Scientifiques Medicales Elsevier, v. 45, n. 11, p. 1066-1072, 2006.
dc.identifier1290-0729
dc.identifierhttp://hdl.handle.net/11449/9898
dc.identifierhttp://acervodigital.unesp.br/handle/11449/9898
dc.identifier10.1016/j.ijthermalsci.2006.02.001
dc.identifierWOS:000241223600004
dc.identifierhttp://dx.doi.org/10.1016/j.ijthermalsci.2006.02.001
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/857918
dc.descriptionLaminar 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.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationInternational Journal of Thermal Sciences
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectnon-newtonian fluids
dc.subjectpower law fluids
dc.subjectforced convection
dc.subjectintegral transform
dc.subjectelliptical tube
dc.titleHeat transfer in laminar flow of non-Newtonian fluids in ducts of elliptical section
dc.typeOtro


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