Mean zonal flows generated by librations of a rotating spherical cavity

Busse, F.H. (2010). Mean zonal flows generated by librations of a rotating spherical cavity. Journal of Fluid Mechanics, 650 , pp. 505-512.

Abstract

Longitudinal librations represent oscillations about the axis of a rotating axisymmetric fluid-filled cavity. An analytical theory is developed for the case of a spherical cavity in the limit when the libration frequency is small in comparison with the rotation rate, but large in comparison with the inverse of the spin-up time. It is shown that longitudinal librations create a steady zonal flow through the nonlinear advection in the Ekman layers. The theory can be applied to laboratory experiments as well as to solid planets and satellites with a liquid core.

Publication DOI: 10.1017/S0022112010000753
Divisions: Engineering & Applied Sciences > Mathematics
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Additional Information: © Cambridge University Press 2010
Published Date: 2010-05-10

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