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Fluid flows in precessing spherical shells

Published online by Cambridge University Press:  12 January 2001

A. TILGNER and
F. H. BUSSE
A. TILGNER
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany
F. H. BUSSE
Affiliation:
Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany
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Abstract

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Numerical solutions for fluid flows in precessing spherical cavities and spherical shells have been obtained and are compared with earlier analytical expressions. It is shown that the approximate validity of the analytical expressions extends further than could have been expected. The details of the flow structure exhibit significant departures, however, from the assumptions of the analytical theory. Standing waves are found in the case of sufficiently thin shells. Some results on instabilities of the basic flow are also discussed.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 426 , 10 January 2001, pp. 387 - 396
Copyright
© 2001 Cambridge University Press