TY - JOUR
T1 - Three-dimensional numerical analysis of natural convection in a saturated porous matrix (Stability of convection patterns)
AU - Masuda, Yoshio
AU - Kimura, Shigeo
AU - Hayashi, Kazuo
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1994
Y1 - 1994
N2 - Three-dimensional natural convection heat transfer in a saturated porous cube heated from below is analyzed by a finite-element method. The Rayleigh numbers between 50 and 140 are considered. When the Darcy-modified Rayleigh number is high, the convection pattern can take various modes in the cube for a given value of the Rayleigh number. It is found that the convection modes of (1, 0, 1) and (1, 1, 1) are the only stable ones below Ra = 100. Moreover, the (1, 0, 2) mode also becomes stable when Ra is greater than 100. The other modes, however, are unstable at 50≤Ra≤100 in spite of the fact that the corresponding Rayleigh numbers exceed critical values according to the linear stability theory. The Nusselt numbers for respective stable modes are also calculated.
AB - Three-dimensional natural convection heat transfer in a saturated porous cube heated from below is analyzed by a finite-element method. The Rayleigh numbers between 50 and 140 are considered. When the Darcy-modified Rayleigh number is high, the convection pattern can take various modes in the cube for a given value of the Rayleigh number. It is found that the convection modes of (1, 0, 1) and (1, 1, 1) are the only stable ones below Ra = 100. Moreover, the (1, 0, 2) mode also becomes stable when Ra is greater than 100. The other modes, however, are unstable at 50≤Ra≤100 in spite of the fact that the corresponding Rayleigh numbers exceed critical values according to the linear stability theory. The Nusselt numbers for respective stable modes are also calculated.
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U2 - 10.1299/kikaib.60.960
DO - 10.1299/kikaib.60.960
M3 - Article
AN - SCOPUS:0028396294
VL - 60
SP - 960
EP - 964
JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
SN - 0387-5016
IS - 571
ER -