Instabilities of Steady Flow in a Rotating Spherical Cavity Excited by Inner Core Oscillation

Fluid flow excited by a core oscillating in a rotating spherical cavity is experimentally investigated. Oscillations are set by an external inertial field so that in the reference frame of the cavity, the core moves along a circular trajectory around the rotation axis. Two situations are considered: when the core oscillations are co-directed or counter-directed with respect to the rotation of the cavity. The oscillating core is a source of non-axisymmetric inertial waves that form a system of cone-shaped shear layers in fluid bulk. Depending on the oscillation frequency, various inertial flow regimes arise, the spatial structure of which strongly depends on the sign of the oscillations. It is found that a strong non-linear response in the form of a steady zonal flow corresponds to each flow regime. The flow structure is a system of nested liquid geostrophic cylinders, one of which is associated with the critical latitude at the core boundary, where inertial waves are generated. The next one is associated with the wave reflection from the cavity boundary and is clearly manifested when they are focused on the wave attractor. The most intense zonal flow occurs when inertial waves are superposed and global vortex structures are resonantly excited.

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Instabilities of Steady Flow in a Rotating Spherical Cavity Excited by Inner Core Oscillation

Cited by 5 publications

References 27 publications

Effect of Differential Rotation of Oscillating Inner Core on Steady Flow Instability in a Rotating Sphere

Effect of Differential Rotation of Oscillating Inner Core on Steady Flow Instability in a Rotating Sphere

Dynamics of Two-liquid System at Rotation and Vibration with Equal Frequencies

On the linear and non-linear fluid response to the circular forcing in a rotating spherical shell

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