This paper presents a linear stability analysis for the thermocapillary convection in a liquid bridge bounded by two planar liquid-solid interfaces at the same temperature and by a cylindrical free surface with an axisymmetric heat input. The two solid boundaries are rotated at the same angular velocity in one azimuthal direction, and a rotating magnetic field is applied in the opposite azimuthal direction. The critical values of the Reynolds number for the thermocapillary convection and the critical-mode frequencies are presented as functions of the magnetic Taylor number for the rotating magnetic field and of the Reynolds number for the angular velocity of the solid boundaries.

Issue Section:
Heat Transfer in Manufacturing
Keywords:
magnetohydrodynamics, flow instability, zone melting, rotational flow, convection, capillarity, Crystal Growth, Heat Transfer, Magnetohydrodynamics, Stability, Thermocapillary
Topics:
Convection, Crystal growth, Crystals, Flow (Dynamics), Magnetic fields, Rotation, Stability, Temperature, Magnetohydrodynamics, Reynolds number, Angular momentum, Heat transfer
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Copyright © 2004
 by ASME
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