Ringdown of inertial waves in a spheroidal shell of rotating fluid

Physics

Scientific paper

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Earth Core, Geodynamics, Geophysical Fluids, Rotating Fluids, Amplitudes, Decay Rates, Fluid Filled Shells, Inertia, Perturbation, Resonant Frequencies, Spherical Shells

Scientific paper

The role of inertial gravity waves in the dynamics of the earth's fluid core has been studied in laboratory experiments with the spheroidal shell of a rotating fluid. In the experiments, the inertial gravity waves had an azimuthal wavenumber of 1; 0(10 to the -5th) was the Ekman number; and the Rossby number was 0(10 to the -1st). The waves were excited by the precession of an inner spheroidal body. Proximity to resonance was achieved by adjusting the resonance ratio of the precession frequency in the inner body to the rotational speed of the container to be nearer to the wavemode eigenfrequency A linearized, iterative, least squares method was used to obtain values for amplitude, eigenfrequency and decay rate in the principal and neighboring wave modes. Evidence was found of interaction among the wave modes during free decay. It is suggested that this interaction leads to a predominance of the (0, 1, 1) mode. A schematic diagram of the experimental setup is provided.

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