Magnetic buoyancy instabilities for a static plane layer

Physics – Fluid Dynamics

Scientific paper

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Buoyancy, Magnetic Flux, Magnetohydrodynamic Stability, Solar Magnetic Field, Boussinesq Approximation, Magnetic Diffusion, Magnetic Variations, Plasma Layers

Scientific paper

Recent calculations suggest that the bulk of the solar magnetic field may be stored in a thin convectively stable region situated between the convection zone proper and the radiative zone. Determining the stability properties of such a field is therefore important with implications for both the generation and escape of magnetic flux. The magneto-Boussinesq equations are used to perform a linear stability analysis of a static plane layer. Several new instability mechanisms are revealed showing previous ideas concerning magnetic buoyancy instabilities to be over simplified. The most important result is that instability may occur even for fields which increase with height. Detailed results are presented for 2 and 3 dimensional motions for a weakly stratified magnetic field together with a simple calculation for the 2 dimensional instability of a strongly varying field.

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