4.7 Article

Mean zonal flows generated by librations of a rotating spherical cavity

Journal

JOURNAL OF FLUID MECHANICS
Volume 650, Issue -, Pages 505-512

Publisher

CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112010000753

Keywords

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Funding

  1. Spanish government [FIS2008-01126]
  2. NORDITA

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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.

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