Article

# Thermally Developing Forced Convection of Non-Newtonian Fluids Inside Elliptical Ducts

Heat Transfer Engineering (Impact Factor: 0.69). 08/2010; October-November 2004(7):13-22. DOI: 10.1080/01457630490495805

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**ABSTRACT:**In this work, the heat transfer to the Couette-Poiseuille flow of a nonlinear viscoelastic fluid obeying the Giesekus model between parallel plates for the case where the lower plate is at rest and the upper one moves at constant velocity is studied. The momentum equation is analytically solved and the effect of dimensionless pressure gradient (G), Giesekus model parameter (α) and Deborah number (De) on the velocity profile is investigated. To analyze the influence of viscous dissipation on the heat transfer, the energy equation is solved by a finite volume method for two different thermal boundary conditions: uniform wall heat flux (Case 1) and constant wall temperature (Case 2). The results show strong effects of the viscoelastic parameters on the velocity and temperature profiles. It is observed that the viscous dissipation is responsible for the variation in the bulk fluid temperature and the effect of viscous heating depends on the values of dimensionless pressure gradient.Journal of Non-Newtonian Fluid Mechanics 06/2013; · 1.94 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A numerical investigation of heat transfer with viscoelastic FENE-P fluid in circular and non-circular ducts is carried out to study the effect of the solvent contribution on heat transfer in the absence of viscous dissipation by assuming temperature-independent model parameters. The numerical simulation is conducted using the finite element software POLYFLOW and results are compared with analytical and semi-analytical solutions available in the literature for the 2D axisymmetric pipes. The analysis considers a constant wall heat flux boundary condition and shows that an increase in fluid elasticity raised the normalized heat transfer coefficient due to the increased level of shear-thinning behavior. However, increasing the extensibility parameter L2 leads to a decrease in Nusselt number. Local and average Nusselt number values are obtained for the axisymmetric pipe flows for several values of polymer concentration and the study confirms quantitatively that polymer concentration enhances heat transfer rates in FENE-P fluids. Nusselt number distribution in the fully developed region of tubes of equilateral triangular, square and rectangular cross-sections is reported for the first time for non-linear viscoelastic fluids of the FENE-P type with solvent contribution.Journal of Non-Newtonian Fluid Mechanics 05/2014; · 1.94 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**The present review covers the heat transfer literature published in 2004 in English language, including some translations of foreign language papers. Though extensive, some selection is necessary. Only articles published by a process of peer review in archival journals are reviewed. Papers are grouped into subject-oriented sections and further divided into sub-fields. Many papers deal with the fundamental science of heat transfer, including experimental, numerical and analytical work; others relate to applications or natural systems. In addition to reviewing journal articles, this Review also takes note of important conferences and meetings on heat transfer and related areas, major awards presented in 2004, and relevant books published in 2004.International Journal of Heat and Mass Transfer. 07/2010; 53(21-22):4343-4396.

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