Finite Amplitude Convection in a Rotating Porous Medium
Keyword(s):
The onset of convection in a horizontal layer of a saturated porous medium heated from below and rotating about a vertical axis with uniform angular velocity is investigated. It is shown that when S ∈ σ >1, overstability cannot occur, where ε is the porosity, σ the Prandtl number and S is related to the heat capacities of the solid and the interstitial fluid. It is also shown that for small values of the rotation parameter T1, finite amplitude motion with subcritical values of Rayleigh number R (i.e. R < Re, where Re is the critical Rayleigh number according to linear stability theory) is possible. For large values of T1, overstability is the preferred mode.
1968 ◽
Vol 34
(2)
◽
pp. 315-336
◽
1978 ◽
Vol 358
(1693)
◽
pp. 199-221
◽
1975 ◽
Vol 70
(4)
◽
pp. 689-703
◽
1989 ◽
Vol 206
◽
pp. 497-515
◽
2008 ◽
Vol 63
(5-6)
◽
pp. 291-300
◽
1980 ◽
Vol 373
(1753)
◽
pp. 199-222
◽