Zonal flow induced by longitudinal librations of a rotating cylindrical cavity

Busse, F.H. (2011). Zonal flow induced by longitudinal librations of a rotating cylindrical cavity. Physica D, 240 (2), pp. 208-211.

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 cylindrical 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 through the nonlinear advection in the Ekman layers the librations cause the fluid to rotate more slowly.

Publication DOI: https://doi.org/10.1016/j.physd.2010.09.010
Divisions: Engineering & Applied Sciences > Mathematics
Uncontrolled Keywords: rotating cylinder,libration,differential rotation,nonlinear Ekman layer
Published Date: 2011-01-15

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