The unsteady-state Rayleigh problem for a magnetized plasma

Astronomy and Astrophysics – Astronomy

Scientific paper

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Convective Heat Transfer, Plasma Layers, Plasma Oscillations, Rayleigh Number, Anisotropic Media, Hartmann Number, Hydrogen Plasma, Magnetic Fields, Magnetohydrodynamic Waves, Thermal Conductivity, Unsteady State

Scientific paper

A solution is obtained to the problem concerning the onset of oscillatory convection in a horizontal layer of fully ionized plasma located in constant vertical gravitational and magnetic fields. It is found that if thermal conductivity is significantly anisotropic, viscosity is isotropic, and the Hartman numbers are large, then the onset of convection will be accompanied by oscillations provided that the 'magnetic Prandtl' number' is much greater than unity. It is shown that the obtained results are a natural generalization of Chandrasekhar's (1968) criteria and may be applied to the theory of MHD-wave generation in a strongly magnetized plasma.

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