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The spin-up of a homogeneous fluid bounded below by a permeable medium

Published online by Cambridge University Press:  29 March 2006

John Kroll  and
George Veronis
John Kroll
Affiliation:
Department of Engineering and Applied Science, Yale University
George Veronis
Affiliation:
Department of Geology and Geophysics, Yale University
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Abstract

The spin-up of a homogeneous rotating fluid bounded at the top and/or bottom by a permeable medium has been proposed by Bretherton & Spiegel (1968) as a model for the spin-up in natural flows where turbulent processes transmit the direct effect of the boundaries deeper into the fluid than does the laminar Ekman layer. The theoretical analysis for the spin-up of a laterally unbounded fluid bounded by a permeable medium below is presented here. In addition, an experimental study of the process is presented. Theory and experiment agree reasonably well with a maximum difference of about 8% in the predicted and measured spin-up times. The effects of the side-wall boundary have been studied theoretically by Howard (1969). Experimental observations in the side-wall boundary layer confirm qualitatively the results of Howard's theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 2 , 3 February 1970 , pp. 225 - 239
Copyright
© 1970 Cambridge University Press

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