Abstract
The magnetohydrodynamics of a compressible fluid with finite electrical conductivity in a gravitational field is treated analytically. For the case of one ignorable coordinate in cylindrical and Cartesian coordinates the problem is reduced to a scalar partial differential equation. The ideal gas equation of state is considered. For simplicity, the new equation is derived for a two-component motion. The application of this result to mass flow in sunspots is discussed.
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Osherovich, V. Compressible, conductive, steady MHD flow in a gravitational field. Astrophys Space Sci 93, 221–228 (1983). https://doi.org/10.1007/BF00648729
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DOI: https://doi.org/10.1007/BF00648729