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Stability and heat transfer of rotating cryogens. Part 3. Effects of finite cylindrical geometry and rotation on the onset of convection

Published online by Cambridge University Press:  21 April 2006

J. M. Pfotenhauer ,
J. J. Niemela  and
R. J. Donnelly
J. M. Pfotenhauer
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA Present address: Applied Superconductivity Center, 1500 Johnson Drive, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
J. J. Niemela
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA
R. J. Donnelly
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA
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Abstract

This report presents data describing convection in a rotating cylindrical Bénard cell filled with He I. In particular, convection modes are observed at Rayleigh numbers substantially below those predicted by linear stability analyses for a horizontally infinite layer. Both the Rayleigh numbers associated with the convective onset and the initial-slope measure of heat transport of these modes are found to depend on the rotation rate Ω and the aspect ratio Γ of the cell. A discussion of the relevant literature reveals that these convective modes are probably the same as those observed by Rossby (1969) and are reasonably well characterized by the recent analysis of Buell & Catton (1983) assuming asymmetric modes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 175 , February 1987 , pp. 85 - 96
Copyright
© 1987 Cambridge University Press

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