Natural Convection in an Attic-Shaped Space Filled With Porous Material

[+] Author and Article Information
A. Bejan, D. Poulikakos

Department of Mechanical Engineering, University of Colorado, Boulder, Colo. 80309

J. Heat Transfer 104(2), 241-247 (May 01, 1982) (7 pages) doi:10.1115/1.3245079 History: Received September 29, 1981; Online October 20, 2009


This article reports an analytical study of natural convection in a wedge-shaped horizontal space filled with a fluid-saturated porous medium. The study focuses on the detrimental effect of natural convection on the insulation value of an attic-shaped porous layer in “winter” conditions (cold roof, warm ceiling). The study reveals the most basic features of the temperature field and flow pattern established in the porous layer. The study addresses two distinct flow regimes: (a) the shallow attic limit (H/L→0 , RaH = finite, but fixed) and (b) the boundary layer regime which consists of a boundary layer driven by the sloped (roof) wall plus a core flow moving slowly along the horizontal (ceiling) wall. Heat-transfer results are developed for both flow regimes.

Copyright © 1982 by ASME
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