Physics – Fluid Dynamics
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gapfd..28..205l&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 28, April 1984, p. 205-222.
Physics
Fluid Dynamics
5
Fluid Filled Shells, Geomagnetism, Magnetohydrodynamic Waves, Oscillating Flow, Rotating Fluids, Axisymmetric Bodies, Free Vibration, Incompressible Flow, Inviscid Flow, Magnetic Field Configurations, Spheroids, Time Dependence, Toroids, Wave Propagation
Scientific paper
The ray method is used to study slow hydromagnetic waves in an incompressible, inviscid, conducting fluid of constant density in the presence of a constant toroidal magnetic field. The fluid is bounded below by a rigid sphere and above by a rigid spheroidal surface, and the mean fluid layer thickness is assumed to be small. Time-dependent and time-harmonic (free oscillation) characteristics of the fluid are studied and dispersion relations and conservation laws are derived which are applied to free oscillations with constant azimuthal wave number in a spherical shell. Wave propagation in axisymmetric shells is then studied with emphasis on the relationship between shell shape and the direction of wave propagation. It is found that spheroidal shells can sustain westward propagating modes when shell thickness decreases sufficiently rapidly along the vertical axis, and that no shells can sustain westward propagation at the equator.
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