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FINITE ELEMENT SIMULATION OF THE GRAETZ PROBLEM IN AN ELLIPTIC DUCT FOR A VISCOELASTIC FLUID

DOI: 10.1615/ICHMT.2014.IntSympConvHeatMassTransf.960
pages 1283-1292

A. Filali
Department of Mechanical Engineering, Petroleum Institute, Abu Dhabi, United Arab Emirates

Lyes Khezzar
Mechanical Engineering Department, The Petroleum Institute, P.O. Box 2533, Abu Dhabi, United Arab Emirates

Abstract

Laminar forced convection heat transfer in a Newtonian and viscoelastic fluid flow based on the FENE-P model inside an elliptic pipe is investigated numerically to analyze the influence of the rheological parameters on heat transfer enhancement with negligible axial heat conduction and viscous dissipation. The numerical simulation is conducted using the finite element based software Polyflow and results for Newtonian case are compared with analytical solutions. The analysis considers a constant wall heat flux boundary condition and shows that increasing the fluid elasticity leads to an increase in the normalized heat transfer coefficient due to the increased level of shear-thinning behavior. But increasing the extensibility parameter L2 leads to a decrease in Nusselt number. Nusselt number distribution in the entrance region of the elliptic tubes is reported for the first time for nonlinear viscoelastic fluids of the FENE-P type.

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