Abstract
Three-dimensional numerical computations have been carried out for oscillatory Marangoni convection of an electric conducting liquid sustained between parallel circular plates having temperature difference in the presence of three kinds of magnetic fields. For the sake of simplicity, the buoyancy effect is ignored and the free-surface shape is assumed to be perfectly cylindrical. Axial, horizontal or cusp-shaped magnetic field is applied to this configuration. The Marangoni convection exhibits transition from axisymmetric flow to three-dimensional oscillatory flow depending on the Reynolds and Hartmann number as well as the type of magnetic field. The transition process can be recognized by the growth rate of the azimuthal velocity. Three-dimensional oscillatory flows can be stabilized to steady flows when the Hartmann number is large enough compared to the Marangoni number in spite of the three kinds of magnetic field. The axial or cusp-shaped magnetic field damps out the velocity effectively and axisymmetric steady flows take place, while the horizontal magnetic field tends to restrict the flow aligning parallel to the magnetic field line.
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