Convection in a rotating annulus having sidewalls of height-dependent thermal conductance
作者:
Jae Min Hyun,
Chang Yeong Kim,
期刊:
Geophysical & Astrophysical Fluid Dynamics
(Taylor Available online 1987)
卷期:
Volume 39,
issue 3
页码: 149-162
ISSN:0309-1929
年代: 1987
DOI:10.1080/03091928708208810
出版商: Taylor & Francis Group
关键词: Convection;isotherm slope;Rayleigh number;rotating annulus;thermal wind
数据来源: Taylor
摘要:
Thermal convection in a vertically-mounted, rotating annulus of a particular design proposed by Davies and Walin (1977) is investigated. The annulus used in the present study differs from the conventional type in some important aspects: the sidewalls are finitely conducting, and the thermal conductance of the sidewalls is height-dependent. The theoretical model due to Davies and Walin is briefly recounted. The present study aims to verify the theoretical model; we have acquired numerical solutions to the governing Navier-Stokes equations. The numerical results are supportive of the theoretical contentions. The near-linear dependence of the isothermal slope on the parameterD, which is a function of Ω and ΔT, is corroborated within reasonable limits. New data on the vertical and radial structures of the meridional and azimuthal flows are presented. The numerical results also confirm that the shape of the sidewall thickness has a substantial influence on the meridional flow patterns. In the bulk of the interior flow field, the dominant azimuthal flow field and the temperature field are linked by the thermal wind relation.
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