Transitions to More Complex Patterns in Thermal Convection
The instabilities of convection rolls in a fluid layer heated from below are reviewed and results of recent computations on three-dimensional knot convection flow and on travelling wave convection are reported. Periodic boundaries in the horizontal directions and rigid, thermally well conducting boundaries at top and bottom have been assumed. The analysis of the stability of the three-dimensional convection patterns indicates transitions to a variety of time-dependent forms of convection which in part can be related to experimental observations. Further experimental work on low Prandtl number fluids appears to be desirable for the study of convection in the form of standing waves.
KeywordsPrandtl Number Rayleigh Number Travel Wave Solution Vertical Magnetic Field Convection Roll
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