RAYLEIGH CONVECTION IN A CLOSED CYLINDER - EXPERIMENTS AND A 3-DIMENSIONAL MODEL WITH TEMPERATURE-DEPENDENT VISCOSITY EFFECTS

In this paper our most recent research results on natural convection in a closed cylinder, where our interest focuses on pattern structure dependence on aspect ratio and on temperature-dependent viscosity, are summarized. The main results are (a) the experiments on the onset pattern and conditions for pure Rayleigh convection in circular cylinders compare favorably with linearized stability results of Hardin et al. [Int. J. Num. Methods Fluids 10, 79 (1990)], as well as three-dimensional nonlinear calculations made by us; and (b) experiments and nonlinear calculations indicate a variation of the patterns at and near the codimension two points when large temperature differences are introduced, so as to cause a substantial change in viscosity. (C) 1995 American Institute of Physics.