Numerical Study of Some Three-Dimensional Laminar Free Convective Flows

[+] Author and Article Information
P. H. Oosthuizen

Department of Mechanical Engineering, Queen’s University, Kingston, Ontario, Canada

J. Heat Transfer 98(4), 570-575 (Nov 01, 1976) (6 pages) doi:10.1115/1.3450602 History: Received August 30, 1976; Online August 11, 2010


Three-dimensional buoyancy-induced flows over plates and cylinders have been considered. The three-dimensional flow results either from the fact that the body is inclined to the horizontal or from the fact that there is a longitudinal acceleration component. Both the cases where this acceleration component is constant and the case where it varies linearly with the distance along the body have been considered. The study is based on the use of the constant-property boundary-layer equations. These equations have been rewritten in terms of dimensionless variables, and thus the resulting equations do not explicitly depend on the nature of mechanism causing the three-dimensional flow. These equations have been solved numerically using finite-difference methods, with heat-transfer distributions for various representative situations being deduced.

Copyright © 1976 by ASME
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