On the onset of convection in rotating spherical shells
作者:
K.-K. Zhang,
F.H. Busse,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1987)
卷期:
Volume 39,
issue 3
页码: 119-147
ISSN:0309-1929
年代: 1987
DOI:10.1080/03091928708208809
出版商: Taylor & Francis Group
关键词: Thermal convection;rotating spheres
数据来源: Taylor
摘要:
The linear problem of the onset of convection in rotating spherical shells is analysed numerically in dependence on the Prandtl number. The radius ratio η=ri/roof the inner and outer radii is generally assumed to be 0.4. But other values of η are also considered. The goal of the analysis has been the clarification of the transition between modes drifting in the retrograde azimuthal direction in the low Taylor number regime and modes traveling in the prograde direction at high Taylor numbers. It is shown that for a given valuemof the azimuthal wavenumber a single mode describes the onset of convection of fluids of moderate or high Prandtl number. At low Prandtl numbers, however, three different modes for a givenmmay describe the onset of convection in dependence on the Taylor number. The characteristic properties of the modes are described and the singularities leading to the separation with decreasing Prandtl number are elucidated. Related results for the problem of finite amplitude convection are also reported.
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