Wave propagation in a rotating fluid of spherical configuration
Abstract
The general, time-dependent problem of wave propagation in an incompressible, inviscid fluid contained in a rotating shell of variable thickness is studied by means of the ray method. The approximation obtained is applied to the time-reduced case to study free oscillations in a rotating spherical shell. 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. Equations for the resonant frequencies are found and the phase shifts at critical circles and poles are discovered.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- 1976
- Bibcode:
- 1976PhDT........77L
- Keywords:
-
- Rotating Fluids;
- Rotating Spheres;
- Spherical Shells;
- Wave Propagation;
- Free Vibration;
- Inviscid Flow;
- Phase Shift;
- Time Dependence;
- Fluid Mechanics and Heat Transfer