Please use this identifier to cite or link to this item: http://hdl.handle.net/11717/13376
Title: Numerical study of mixed convection within porous square cavities using Bejan's heatlines: Effects of thermal aspect ratio and thermal boundary conditions
Authors: Ramakrishna, D.
Basak, T.
Roy, S.
Pop, I.
Keywords: Heatlines
Penalty finite element methods
Square cavity
Streamlines
Thermal aspects
Boundary conditions
Finite element method
Isotherms
Mixed convection
Nusselt number
Porous materials
Reynolds number
Aspect ratio
Issue Date: 2012
Citation: International Journal of Heat and Mass Transfer, 55(21-22), 5436-5448
Abstract: The present numerical study deals with mixed convection flows within square enclosures filled with porous media. The influence of various thermal boundary conditions on bottom and side walls based on thermal aspect ratio (A) is investigated for a wide range of parameters (1 ? Re ? 100, 0.015 ? Pr ? 7.2, 10 -5 ? Da ? 10 -3 and 10 3 ? Gr ? 10 5). A penalty finite element method with bi-quadratic elements has been used to investigate the results in terms of streamlines, isotherms and heatlines and average Nusselt numbers. Lid driven effect is dominant at low Darcy number (Da = 10 -5), whereas buoyancy driven effect is dominant at high Darcy numbers (Da = 10 -4 and Da = 10 -3) for Re = 1. Asymmetric pattern is observed in isotherms and heatlines for Re = 100. It is found that thermal gradient is high at the center of the bottom wall for A = 0.1 due to large dense heatlines at that zone and that is low for A = 0.9 irrespective of Re, Pr and Gr. Overall heat transfer rates are higher for A = 0.1 compared to other thermal aspect ratios (A = 0.5, A = 0.9) irrespective of Darcy number, Prandtl number and Reynolds number. � 2012 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.04.058
http://hdl.handle.net/11717/13376
ISSN: 179310
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