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Journal of Porous Media
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ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v2.i2.60
pages 179-189

Fully Developed Free Convection in Open-Ended Vertical Channels Partially Filled with Porous Material

O. M. Haddad
Department of Mechanical Engineering, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan

RÉSUMÉ

Analytical solutions for fully developed natural convection in open-ended vertical channels partially filled with porous substrates are presented. Four fundamental boundary conditions have been investigated and the corresponding fundamental solutions computed. These four fundamental boundary conditions were obtained by combining each of the two conditions of one boundary maintained at uniform heat flux and one at uniform wall temperature; in each condition the opposite boundary is kept adiabatic or isothermal at the inlet fluid temperature. Expressions for the fully developed velocity, temperature, mixing cup temperature, volumetric flow rate, friction coefficient, and Nusselt number are given for each fundamental solution. Such fully developed values are approached, in a given channel, when the height-to-gap width ratio is sufficiently large. These values represent the limiting conditions and provide analytical checks on numerical solutions for steady and transient developing flows.


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