Square-pattern convection in fluids with strongly temperature-dependent viscosity
1985 ◽
Vol 150
◽
pp. 451-465
◽
Keyword(s):
Three-dimensional numerical solutions are obtained describing convection with a square lattice in a layer heated from below with no-slip top and bottom boundaries. The limit of infinite Prandtl number and a linear dependence of the viscosity on temperature are assumed. The stability of the three-dimensional solutions with respect to disturbances fitting the square lattice is analysed. It is shown that convection in the form of two-dimensional rolls is stable for low variations of viscosity, while square-pattern convection becomes stable when the viscosity contrast between upper and lower parts of the fluid layer is sufficiently strong. The theoretical results are in qualitative agreement with experimental observations.
1987 ◽
Vol 178
◽
pp. 491-506
◽
1993 ◽
Vol 20
(20)
◽
pp. 2187-2190
◽
1969 ◽
Vol 36
(2)
◽
pp. 239-258
◽
2001 ◽
Vol 39
(10)
◽
pp. 1143-1165
◽
2018 ◽
Vol 5
(5)
◽
pp. 41-50