Convection in an Enclosure-Source and Sink Located Along a Single Horizontal Boundary

[+] Author and Article Information
L. A. Clomburg

Chemical Engineering Dept., Massachusetts Institute of Technology, Cambridge, Mass.

J. Heat Transfer 100(2), 205-211 (May 01, 1978) (7 pages) doi:10.1115/1.3450782 History: Received February 03, 1977; Online August 11, 2010


Laminar natural convection in a two-dimensional enclosure with both source (uniform heat flux density) and sink (temperature specified) located on the top horizontal boundary is investigated numerically. Temperature and velocity profiles are presented for a high Prandtl number fluid for length Rayleigh numbers in the range 107 to 109 for length to depth ratios of 1:1 to 4:1. To generalize the results, an order of magnitude analysis is used to determine the dependence of temperature, velocity, and boundary-layer thickness scales on aspect ratio and Rayleigh number. The numerical data are well correlated using these suggested scales. The analysis shows the Nusselt number and the maximum horizontal velocity to depend on the 1/6 and 1/3 powers of the Rayleigh number, independent of aspect ratio.

Copyright © 1978 by ASME
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