Other
Scientific paper
Feb 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jfm....90..669s&link_type=abstract
Journal of Fluid Mechanics, vol. 90, Feb. 27, 1979, p. 669-684.
Other
37
Convective Flow, Magnetic Effects, Magnetohydrodynamic Stability, Rotating Fluids, Stratified Flow, Temperature Effects, Angular Velocity, Boussinesq Approximation, Dynamo Theory, Geomagnetism, Magnetohydrodynamic Flow, Thermal Conductivity
Scientific paper
Hydromagnetic convection in a rapidly rotating Boussinesq fluid confined between two horizontal planes is analyzed for the case of very small magnetic Ekman number. The governing equations are reduced to a system of algebraic equations which has a solution provided a certain quintic equation is satisfied. The three small roots of the quintic are associated with slow wave instabilities, and these are examined in detail. The other two roots correspond to fast inertial waves and are only briefly discussed. The various types of these instabilities and their conditions for onset are discussed for weak and strong magnetic fields and large and small thermal conductivities. A westward propagation of waves isolated in this analysis is relevant to the geodynamo for magnetic parameter Gamma in the region above around 1, and supports Eltayeb' and Kumar's (1977) full numerical calculations for the sphere.
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