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Laminar free convection due to a point source of Buoyancy
Authors:Paul J. Sullivan and Paul J. Sutherland
Affiliation:(1) Department of Mechanical Engineering, University of Batna, Rue Boukhlouf Mohamed el Hadi, 05000 Batna, Algeria;(2) IUSTI, CNRS UMR 6595, Polytech’Marseille, Technop?le de Ch?teau-Gombert, 5 rue Enrico Fermi, 13453 Marseille, France;(3) Department of Aerospace Engineering, Osaka Prefecture University, Gakuen-cho 1-1, Sakai Osaka, 599-8531, Japan
Abstract:
Similarity solutions are found for the laminar flow arising from a point source of buoyancy. Approximate analytic solutions in closed form are derived for the non-dimensional velocity and density distributions as a function of the Prandtl number. These approximations are shown to compare favourably with numerical solutions given by Fujii and to include the exact solutions of Yih for Prandtl numbers of 1 and 2.
Keywords:
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