Magnetic buoyancy and the Boussinesq approximation

Details Magnetic buoyancy and the Boussinesq approximation Magnetic buoyancy and the Boussinesq approximation

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gapfd..22..219s&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 22, no. 3-4, 1982, p. 219-234.

Physics

Fluid Dynamics

17

Boussinesq Approximation, Buoyancy, Convection, Magnetohydrodynamic Stability, Solar Magnetic Field, Adiabatic Conditions, Gas Dynamics, Magnetohydrodynamic Waves, Plasma Diffusion, Rotating Matter

Scientific paper

The full Boussinesq equations for hydromagnetic convection are derived and shown to encompass the effects of magnetic buoyancy. Instabilities caused by magnetic buoyancy are analyzed, and their roles in double convection are elucidated. It is shown that in the simplest case, when the field lines remain uncurved, the equations become identical to those that govern thermohaline convection. In addition, the destabilization of hydromagnetic waves by magnetic buoyancy within the Boussinesq approximation is described. In deriving the Boussinesq equations for hydromagnetic convection in a gas, the underlying physical idea is that the layer under study is so thin that variations in thermodynamic quantities across it are very slight and that all relevant time scales are long compared with the time for acoustic waves to cross the region.

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