Transition from subcritical to supercritical bifurcation in penetrative convection in a vertical cylinder
Material type: ArticleDescription: 2615-2623 pISSN:- 0017-9310
Item type | Current library | Call number | Vol info | Status | Date due | Barcode |
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Articles | Periodical Section | Vol.33, No.12 (December 1990) | Available |
The stability of a vertical cylindrical column of water with the horizontal bottom boundary maintained at 0°C and the temperature of the top boundary varying between 4 and 8°C is considered. A weakly non-linear analysis shows that the bifurcation is either supercritical or subcritical depending upon the values of two parameters: the aspect ratio of the cylinder (height/radius) which is varied between 2 and 4, and the penetration parameter μ defined as the ratio of the whole height over the height of the 4°C isotherm. For a given value of the aspect ratio, the bifurcation is supercritical when the whole height is unstable (μ = 1) and becomes subcritical above a particular value of μ when penetration occurs (μ > 1).