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RESEARCH PAPERS

A Numerical Study of Three-Dimensional Roll Cells within Rigid Boundaries

[+] Author and Article Information
A. M. C. Chan, S. Banerjee

Department of Engineering Physics, McMaster University, Hamilton, Ontario, L8S 4M1, Canada

J. Heat Transfer 101(2), 233-237 (May 01, 1979) (5 pages) doi:10.1115/1.3450952 History: Received September 15, 1978; Online August 11, 2010

Abstract

Three-dimensional natural convection, roll cells within rigid enclosures have been studied with a previously developed numerical technique based on the marker and cell method. Given identical initial conditions, the velocity and temperatures fields are found to be sensitive to the thermal boundary conditions on the side walls and the aspect ratio of the enclosure. Two-dimensional results are also obtained and compared with the corresponding three-dimensional results. The two-dimensional calculations do not agree well with the three dimensional ones, especially for enclosures having aspect ratios less than unity. This indicates that care must be taken in analyzing natural convection problems of this type with two-dimensional methods.

Copyright © 1979 by ASME
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