ONSET OF CONVECTION IN A POROUS MEDIUM WITH INTERNAL HEAT GENERATION AND DOWNWARD FLOW.

A. Hadim, L. C. Burmeister

Research output: Contribution to journalConference articlepeer-review

Abstract

The criteria for the onset of natural convection in a fluid-saturated porous medium with a distributed heat source from absorbed solar radiation and an externally imposed downward flow of the fluid are determined. The method employed first eliminates pressure gradients by vector operations and then uses a perturbation technique to obtain linearized equations of motion, energy, and continuity which are solved numerically. The stability criteria so obtained are given in terms of the internal and external Rayleigh numbers, porous medium permeability and extinction coefficient, and Peclet number of the imposed downward flow. The predicted stability criteria in the limiting cases of no downward flow and no heat generation are in agreement with those obtained in previous investigations. These results can be applied to the evaluation of a possible improved solar pond design, an end that motivated this study.

Original languageEnglish
Pages (from-to)135-144
Number of pages10
JournalAmerican Society of Mechanical Engineers, Heat Transfer Division, (Publication) HTD
Volume56
StatePublished - 1986

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