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Journal of Porous Media
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ISSN Druckformat: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v3.i1.70
pages 79-91

Natural Convection in Tilted Porous Enclosures in the Presence of a Transverse Magnetic Field

Khalil Khanafer
Mechanical Engineering Department, Australian College of Kuwait, Safat, 13015
N. M. Al-Najem
Department of Mechanical and Industrial Engineering, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
M. M. El-Refaee
Department of Mechanical and Industrial Engineering, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

ABSTRAKT

A numerical study has been conducted on laminar natural convection heat transfer in a tilted square enclosure filled with a fluid-saturated porous medium in the presence of a transverse magnetic field. The vertical walls of the enclosure are maintained at constant temperatures while the horizontal walls are thermally insulated. The flow in the porous region is modeled using Darcy's law and the Boussinesq approximation. The control-volume finite difference method is used to solve the governing equations for different values of Darcy-Rayleigh number, Hartmann number, and inclination angle. The numerical results obtained are presented graphically in terms of streamlines and isotherms to illustrate interesting features of the solution. A new correlation for the average Nusselt number is developed in terms of Darcy-Rayleigh number and Hartmann number in vertical cavities. Typical numerical results showed excellent agreement of the present approach with the available data in the literature.


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