Free oscillation in a rotating spherical shell

Details Free oscillation in a rotating spherical shell Free oscillation in a rotating spherical shell

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phfl...22.2071l&link_type=abstract

Physics of Fluids, vol. 22, Nov. 1979, p. 2071-2080.

Physics

8

Incompressible Fluids, Inviscid Flow, Oscillating Flow, Resonant Frequencies, Rotating Spheres, Spherical Shells, Asymptotic Methods, Free Vibration, Liquid Filled Shells, Liquid Sloshing

Scientific paper

Free oscillations of an incompressible inviscid fluid in a rotating spherical shell are studied by means of the ray method, which is different from the conventional approach. Axisymmetric modes covering the whole sphere and asymmetric modes trapped in equatorial regions bounded by critical circles of constant latitude as well as in regions off the equator bounded by caustics are discovered. The anomalies at poles and critical circles of the ray method expansion are removed by means of uniform asymptotic expansions. The equations for the resonance frequencies of each of the various modes of oscillation are studied numerically.

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