Convection in rotating spherical layers with allowance for centrifugal forces

Computer Science

Scientific paper

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Centrifugal Force, Convective Flow, Rotating Fluids, Stratified Flow, Axisymmetric Flow, Gas Giant Planets, Incompressible Flow, Planetary Atmospheres, Stellar Envelopes, Viscous Flow

Scientific paper

The appearance of convection in slowly rotating spherical layers is analyzed with reference to global motions in the atmospheres of giant planets and stellar convective envelopes. It is shown that centrifugal forces lead to the appearance of an axisymmetric flow at whose stability limit convective cells of banana or toroidal shape can arise. Irrespective of the shape of the layer and the magnitude of the centrifugal force, the banana-shaped cells propagate in wavelike fashion in the direction opposite to the rotation. In the case of nondeformable boundaries, the centrifugal force stabilizes fluid motion as compared with the case of a layer at rest. Deformation under the effect of centrifugal force of one or both boundaries leads to the destabilization of the main flow.

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