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Proceedings of CHT-08 ICHMT International Symposium on Advances in Computational Heat Transfer
May, 11-16, 2008, Marrakesh, Morocco

DOI: 10.1615/ICHMT.2008.CHT


ISBN Print: 978-1-56700-253-9

ISSN: 2578-5486

ENTROPY PRODUCTION FOR DEVELOPING LAMINAR MIXED CONVECTION IN VERTICAL TUBES

page 21
DOI: 10.1615/ICHMT.2008.CHT.180
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RESUMO

The problem of hydro-dynamically and thermally developing laminar mixed convection in a vertical tube with uniform wall heat flux has been studied numerically. The flow was assumed steady and axis-symmetrical and the fluid incompressible with constant thermo-physical properties except for its density in the gravity forces (Boussinesq's assumption). The system of non-linear, elliptic and coupled governing equations, subjected to appropriate boundary conditions, was successfully solved using the finite-control-volume method, a staggered non-uniform 34 (r) x 40 (φ) x 700 (z) grid and the power-law scheme for computing the heat and momentum fluxes. The modified SIMPLE procedure was used to treat the velocity-pressure coupling. Numerical results obtained for the developing velocity and temperature profiles of water were used to compute the rate of entropy production due to heat transfer and viscous effects. Some significant results showing profiles of these variables for various axial positions and different Grashof numbers are presented and discussed. The entropy profiles in the fully developed region are in excellent agreement with the corresponding analytical results. These results clearly show that the entropy production by both mechanisms is more important near the tube wall. In general, the entropy production due to heat transfer is several orders of magnitude larger than that due to viscous effects. It has also been found that the entropy generation increases considerably with an augmentation of the Grashof number.

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