Steady and Transient Analyses of Natural Convection in a Horizontal Porous Annulus With the Galerkin Method

[+] Author and Article Information
Y. F. Rao, K. Fukuda, S. Hasegawa

Department of Nuclear Engineering, Kyushu University, Fukuoka, Japan

J. Heat Transfer 109(4), 919-927 (Nov 01, 1987) (9 pages) doi:10.1115/1.3248204 History: Received August 26, 1986; Online October 20, 2009


Steady and transient analytical investigation with the Galerkin method has been performed on natural convection in a horizontal porous annulus heated from the inner surface. Three families of convergent solutions, appearing one after another with increasing RaDa numbers, were obtained corresponding to different initial conditions. Despite the fact that the flow structures of two branching solutions are quite different, there exists a critcal RaDa number at which their overall heat transfer rates have the same value. The bifurcation point was determined numerically, which coincided very well with that from experimental observation. The solutions in which higher wavenumber modes are dominant agree better with experimental data of overall heat transfer.

Copyright © 1987 by ASME
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