Rayleigh–Bénard convection and pattern
formation in magnetohydrodynamics
1998 ◽
Vol 60
(3)
◽
pp. 529-539
◽
Keyword(s):
A nonlinear thermal instability in a layer of electrically conducting fluid in the presence of a magnetic field is discussed. Steady-state bifurcation results in the formation of patterns: rolls, squares and hexagons. The stability of various patterns is also investigated. It is found that in the absence of a magnetic field only rolls are stable, but when the magnetic field strength exceeds a certain finite value, squares and hexagons also become stable.
2010 ◽
Vol 65
(3)
◽
pp. 215-220
◽
1953 ◽
Vol 216
(1126)
◽
pp. 293-309
◽
2010 ◽
Vol 368
(1916)
◽
pp. 1595-1605
◽
2009 ◽
Vol 223
(2)
◽
pp. 415-426
◽
Keyword(s):
Rayleigh–Bénard convection in liquid metal layers under the influence of a horizontal magnetic field
2002 ◽
Vol 453
◽
pp. 345-369
◽
1995 ◽
Vol 53
(2)
◽
pp. 145-167
◽
1973 ◽
Vol 57
(3)
◽
pp. 529-544
◽