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.
Unable to display preview. Download preview PDF.
- Busse, F.H., 1978, Nonlinear Properties of Convection, Rep. Progress Physics, 41: 1929–1967.Google Scholar
- Clever, R.M., and Busse, F.H., 1978, Large wavelength convection rolls in low Prandtl number fluids, J. Appl. Math. Phys. ( ZAMP ), 29: 711–714.Google Scholar
- Clever, R.M., and Busse, F.H., 1988, Three-dimensional knot convection in a layer heated from below, J. Fluid Mech., in press.Google Scholar
- Krishnamurti, R., and Howard, L.N., 1981, Large-scale flow generation in turbulent convection, Proc. Nat. Acad. Sci. USA, 78: 1981–1985.Google Scholar
- Whitehead, J.A., and Chan, G.L., 1976, Stability of Rayleigh-Bénard convection rolls and bimodal flow at moderate Prandtl number, Dyn. Atmosph. Oceans, 1: 33–49.Google Scholar