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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v19.i6.10
pages 471-495

MIXED CONVECTION AND ENTROPY GENERATION IN A POROUS DEEP CAVITY: EFFECT OF UNIFORM AND NONUNIFORM HEATED WALLS

Anirban Chattopadhyay
viswa-bharati, santiniketan
Swapan K. Pandit
Integrated Science Education and Research Centre (ISERC), Visva-Bharati, Santiniketan, West Bengal-731 235, India

RÉSUMÉ

Mixed convection flows in a lid-driven rectangular cavity having aspect ratios of 0.5,1.0,2.0, and 4.0 filled with porous medium are studied computationally using our recently proposed higher order compact scheme presented in Pandit et al. (2007) to investigate influence of uniformly and nonuniformly heated bottom and right walls. The top wall is adiabatic, which is allowed to move in its own plane at a constant speed, while the left vertical wall is maintained at constant cold temperature. We have used a stream function (ψ) - vorticity (ς) formulation of two-dimensional unsteady Navier-Stokes equations with the consideration of the Brinkman-extended Darcy model to simulate the momentum transfer in the porous medium. In addition, local entropy generation distributions are determined based on the obtained dimensionless velocity and temperature values. In order to obtain the results in terms of stream functions, isotherm contours, and Nusselt numbers we have varied the pertinent physical parameters, e.g., Reynolds number (Re), Darcy number (Da) and Prandtl number (Pr) over a wide range of 1 ≤ Re ≤ 103, 10-6 ≤ Da ≤ 10-3 and 0.7 ≤ Pr ≤ 10, respectively, with a fixed Grashof number (Gr) = 105.


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