Physics
Scientific paper
Sep 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975jfm....71..193b&link_type=abstract
Journal of Fluid Mechanics, vol. 71, Sept. 9, 1975, p. 193-206.
Physics
27
Boussinesq Approximation, Convective Heat Transfer, Magnetic Field Configurations, Magnetohydrodynamic Flow, Solar Magnetic Field, Boundary Value Problems, Convective Flow, Dynamo Theory, Nonlinear Equations, Steady Flow, Sunspots, Velocity Distribution
Scientific paper
The interaction between convection in a horizontal fluid layer heated from below and an ambient vertical magnetic field is considered. The analysis is based on the Boussinesq equations for two-dimensional convection rolls and the assumption that the amplitude A of the convection and the Chandrasekhar number Q are small. It is found that the magnetic energy is amplified by a factor on the order of the square root of the magnetic Reynolds number. The ratio between the magnetic and kinetic energies can reach values much larger than unity. Although the magnetic field always inhibits convection, this influence decreases with increasing amplitude of convection. Thus finite amplitude onset of steady convection becomes possible at Rayleigh numbers considerably below the values predicted by linear theory.
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