RESEARCH PAPERS: Natural Convection

The Shape of an Enclosure With Uniform-Flux, Isothermal, Nonhorizontal Walls

[+] Author and Article Information
R. A. Kuyper, C. J. Hoogendoorn

Section Heat Transfer, Department of Applied Physics, Delft University of Technology, P.O. Box 5046, 2600 GA Delft, The Netherlands

J. Heat Transfer 117(4), 936-941 (Nov 01, 1995) (6 pages) doi:10.1115/1.2836313 History: Received July 01, 1994; Revised February 01, 1995; Online January 23, 2008


This paper presents a computational procedure and results of a numerical quest for the shape of a special kind of differentially heated air-filled enclosure. The enclosure shape is such that the natural-convection flow in the enclosure gives rise to a uniform horizontal-heat-flux distribution at the isothermal hot and cold walls. By using an evolution algorithm, the isothermal walls are “consumed” according to the heat-flux distribution until a steady-state shape is reached. For both adiabatic and perfectly conducting horizontal walls, results of calculations are presented for Rayleigh numbers up to 8 × 104 . The resulting flow and temperature distributions in the steady-state enclosures are presented and discussed.

Copyright © 1995 by The American Society of Mechanical Engineers
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