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Fluid motion in a rotating sliced cylinder

Published online by Cambridge University Press:  24 October 2008

J. A. Durance
J. A. Durance
Affiliation:
University of East Anglia
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Abstract

Steady motion of a viscous incompressible fluid in a rotating circular cylinder with a sloping bottom is investigated at low Ekman number. The flow is driven by a lightly faster rotation of the top, and non-linear inertia terms are neglected.

A solution is found for a shallow container of small bottom slope. The side-wall boundary layer is shown to have an almost axi-symmetric component as well as the asymmetric layer found by Pedlosky and Greenspan (3). A further asymmetry in the interior flow is produced by the presence of the second component of the side-wall boundary layer.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 68 , Issue 1 , July 1970 , pp. 203 - 212
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

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