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.
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Steady and Transient Analyses of Natural Convection in a Horizontal Porous Annulus With the Galerkin Method
Y. F. Rao,
Y. F. Rao
Department of Nuclear Engineering, Kyushu University, Fukuoka, Japan
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K. Fukuda,
K. Fukuda
Department of Nuclear Engineering, Kyushu University, Fukuoka, Japan
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S. Hasegawa
S. Hasegawa
Department of Nuclear Engineering, Kyushu University, Fukuoka, Japan
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Y. F. Rao
Department of Nuclear Engineering, Kyushu University, Fukuoka, Japan
K. Fukuda
Department of Nuclear Engineering, Kyushu University, Fukuoka, Japan
S. Hasegawa
Department of Nuclear Engineering, Kyushu University, Fukuoka, Japan
J. Heat Transfer. Nov 1987, 109(4): 919-927 (9 pages)
Published Online: November 1, 1987
Article history
Received:
August 26, 1986
Online:
October 20, 2009
Citation
Rao, Y. F., Fukuda, K., and Hasegawa, S. (November 1, 1987). "Steady and Transient Analyses of Natural Convection in a Horizontal Porous Annulus With the Galerkin Method." ASME. J. Heat Transfer. November 1987; 109(4): 919–927. https://doi.org/10.1115/1.3248204
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