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Journal of Porous Media

Impact factor: 1.035

ISSN Print: 1091-028X
ISSN Online: 1934-0508

Journal of Porous Media

DOI: 10.1615/JPorMedia.v10.i6.50
pages 585-600

Internal Heat Generation in a Tall Cavity Filled with a Porous Medium

Ali Ansari
Department of Basic Sciences, Faculty of Engineering, Tehran University, Tehran 2279, Iran


Two-dimensional convective motions driven by uniformly distributed internal heat sources in a fluid-saturated porous medium are analyzed. The porous medium is contained in a rectangular cavity whose sidewalls are maintained at equal constant temperature and whose upper and lower surfaces are thermally insulated. The flow depends on two nondimensional parameters, the Darcy-Rayleigh number Ra and the cavity aspect ratio A (height/width). The present study is concerned with finite and small values of Ra and large values of A. The main properties of the flow and heat transfer are obtained by analytical and numerical methods. The numerical computations are based on a finite difference technique.