Physics – Fluid Dynamics
Scientific paper
Dec 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gapfd..27..137f&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 27, no. 1-2, 1983, p. 137-162. Research supported by the Sci
Physics
Fluid Dynamics
43
Geomagnetism, Magnetohydrodynamic Stability, Magnetohydrodynamic Waves, Rotating Plasmas, Angular Velocity, Cylindrical Plasmas, Earth Core, Eigenvectors, Thermal Diffusivity
Scientific paper
Numerical solutions for the linear stability of the basic state in a cylindrical annulus are calculated, and the results are compared with a local stability analysis which predicts two classes of instability deriving their energy from the basic magnetic field or the differential rotation. These classes are the nondiffusive field gradient instability and the thermally diffusive buoyancy-catalyzed instability. Local conditions for instability are derived and very good agreement is found between the numerical results and the predictions of the local analysis. For nonmonotonic basic states the local condition of instability is not a constant and instabilities of the field gradient type are concentrated in the locally unstable region. These instabilities are well described by the local analysis but a new mode of instability is also present.
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