Vortex dynamo and large-scale turbulent structures in a rotating system

Physics

Scientific paper

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Dynamo Theory, Planetary Magnetic Fields, Rotating Fluids, Turbulent Flow, Vortices, Coriolis Effect, Reynolds Stress, Saturn Atmosphere, Vorticity

Scientific paper

Turbulent flows subject to the Coriolis force are examined theoretically to study the vortex dynamo or generation of large-scale turbulent structures. A major term in the turbulent vortex-motive force that plays a key role in the mean vorticity equation is shown to be proportional to the angular velocity vector of a rotating system with the proportional coefficient expressed in terms of the helicity. This result shows that the vortical structure with its axis in the zonal direction near the equator is a promising candidate of Saturn's large atmospheric structures called white spots. Formation of the vortex with its axis normal to the spherical surface, as in typhoons, is also discussed.

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