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On the effects of thermally insulating boundaries on geostrophic flows in rapidly rotating gases

Published online by Cambridge University Press:  19 April 2006

Fritz H. Bark  and
Lennart S. Hultgren
Fritz H. Bark
Affiliation:
Department of Mechanics, Royal Institute of Technology, Stockholm, Sweden
Lennart S. Hultgren
Affiliation:
Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Massachusetts
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Abstract

The effects of thermally insulating boundaries on rapidly and almost rigidly rotating gas flows are examined. It is shown that, on a thermally insulating boundary, all boundary layers disappear to zeroth order and that the geostrophic flow alone satisfies the kinematical boundary condition on such a boundary. The temperature gradient of the geostrophic flow is on a horizontal thermally insulating boundary corrected by a weak Ekman layer of strength E½ where E is the Ekman number. On a vertical thermally insulating boundary, the temperature gradient of the geostrophic flow is in the general case corrected by E¼ and $E^{\frac{1}{3}}$ Stewartson layers of strengths E¼ and $E^{\frac{1}{3}}$ respectively.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 95 , Issue 1 , 14 November 1979 , pp. 97 - 118
Copyright
© 1979 Cambridge University Press

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