Convection in a box: linear theory
1967 ◽
Vol 30
(3)
◽
pp. 465-478
◽
Keyword(s):
The linear stability of a quiescent, three-dimensional rectangular box of fluid heated from below is considered. It is found that finite rolls (cells with two non-zero velocity components dependent on all three spatial variables) with axes parallel to the shorter side are predicted. When the depth is the shortest dimension, the cross-sections of these finite rolls are near-square, but otherwise (in wafer-shaped boxes) narrower cells appear. The value of the critical Rayleigh number and preferred wave-number (number of finite rolls) for a given size box is determined for boxes with horizontal dimensions h, ¼ ≤ h/d ≤ 6, where d is the depth.
1996 ◽
Vol 326
◽
pp. 399-415
◽
1987 ◽
Vol 414
(1846)
◽
pp. 83-102
◽
1997 ◽
Vol 350
◽
pp. 271-293
◽
Keyword(s):
2015 ◽
Vol 26
(5)
◽
pp. 795-819
Keyword(s):
2013 ◽
Vol 18
(3)
◽
pp. 899-910
◽
1967 ◽
Vol 30
(1)
◽
pp. 33-49
◽
Keyword(s):