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Stewartson layers in transient rotating fluid flows

Published online by Cambridge University Press:  28 March 2006

Victor Barcilon
Victor Barcilon
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology
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Abstract

The formation and transient dynamics of Stewartson layers are examined herein. The results are applied to a transient rotating fluid flow for which (i) Stewartson layers are presumed to be important, and (ii) the Ekman layers are found to be non-divergent, and hence unable to induce the crucial secondary circulation occurring in the spin-up process. The steady state is nevertheless reached after a spin-up time.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 4 , 23 September 1968 , pp. 815 - 825
Copyright
© 1968 Cambridge University Press

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References

Barcilon, V. 1967a. J. Mar. Res. 25, 1–9.
Barcilon, V. 1967b J. Fluid Mech. 27, 551–62.
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Lewellen, W. S. 1965 A.I.A.A. 3, 91–8.
Stewartson, K. 1957 J. Fluid Mech. 3, 17–26.
Taylor, G. I. 1923 Proc. Roy. Soc. Lond A 104, 213–18.