RESEARCH PAPERS: Natural Convection

Laminar Natural Convection in a Discretely Heated Cavity: I—Assessment of Three-Dimensional Effects

[+] Author and Article Information
T. J. Heindel, S. Ramadhyani, F. P. Incropera

Heat Transfer Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-1288

J. Heat Transfer 117(4), 902-909 (Nov 01, 1995) (8 pages) doi:10.1115/1.2836309 History: Received December 01, 1994; Revised July 01, 1995; Online January 23, 2008


Two and three-dimensional calculations have been performed for laminar natural convection induced by a 3 × 3 array of discrete heat sources flush-mounted to one vertical wall of a rectangular cavity whose opposite wall was isothermally cooled. Edge effects predicted by the three-dimensional model yielded local and average Nusselt numbers that exceeded those obtained from the two-dimensional model, as well as average surface temperatures that were smaller than the two-dimensional predictions. For heater aspect ratios Ahtr ≲ 3, average Nusselt numbers increased with decreasing Ahtr . However, for Ahtr ≳ 3, the two and three-dimensional predictions were within 5 percent of each other and results were approximately independent of Ahtr . In a companion paper (Heindel et al., 1995a), predictions are compared with experimental results and heat transfer correlations are developed.

Copyright © 1995 by The American Society of Mechanical Engineers
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