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Steady fluid flow in a precessing spheroidal shell

Published online by Cambridge University Press:  28 March 2006

F. H. Busse
F. H. Busse
Affiliation:
Institute of Geophysics and Planetary Physics, University of California, Los Angeles
Present addres: Max-Planck-Institut für Physik und Astrophysik, Munich.
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Abstract

The linear boundary-layer analysis by Stewartson & Roberts (1963) and by Roberts & Stewartson (1965) for the motion of a viscous fluid inside the spheroidal cavity of a precessing rigid body is extended to include effects due to the nonlinear terms in the boundary-layer equation. The most significant consequence is a differential rotation super-imposed on the constant vorticity flow given by the linear theory. In addition it is shown that a tidal bulge of the cavity forces a fluid motion similar to that caused by the precessional torque. The relevance of both effects for the liquid core of the earth is briefly discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 4 , 23 September 1968 , pp. 739 - 751
Copyright
© 1968 Cambridge University Press

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References

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