Nov 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982rpph...45.1317p&link_type=abstract
Reports on Progress in Physics, vol. 45, Nov. 1982, p. 1317-1379.
Physics
178
Convective Flow, Kinematic Equations, Magnetic Fields, Magnetohydrodynamic Flow, Magnetohydrodynamic Stability, Benard Cells, Boussinesq Approximation, Nonlinear Systems, Perturbation Theory, Solar Physics, Truncation Errors
Scientific paper
The interaction between convection and an externally imposed magnetic field in a Boussinesq fluid is discussed. The equations that govern Boussinesq magnetoconvection are derived and boundary conditions and simplified geometries are discussed. The kinematic effects of prescribed velocity fields on magnetic fields, including flux expulsion and the formation of isolated sheets or tubes of flux, are treated. Dynamical effects are introduced by considering the simpler Oberbeck problem and demonstrating the exclusion of motion from the flux sheets. Linear stability theory for the Rayleigh-Benard problem is summarized. Two-dimensional magnetoconvection is discussed in detail; results obtained by perturbation methods are described and extended into the nonlinear regime by adopting a truncated model system, and numerical results for the full problem are presented. Axisymmetric magnetoconvection is described, and the transition from the kinematic regime to one in which the field is dynamically active is discussed. Extensions of the theory to more exotic effects are briefly reviewed, and astrophysical implications are briefly commented on.
Proctor Michael R. E.
Weiss Nigel O.
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