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.
Combined Effects of Rotating Magnetic Field and Rotating System on the Thermocapillary Instability in the Floating Zone Crystal Growth Process
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division May 23, 2003; revision received December 2, 2003. Associate Editor: V. Prasad.
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Ma, N., Walker, J. S., and Martin Witkowski, L. (May 4, 2004). "Combined Effects of Rotating Magnetic Field and Rotating System on the Thermocapillary Instability in the Floating Zone Crystal Growth Process ." ASME. J. Heat Transfer. April 2004; 126(2): 230–235. https://doi.org/10.1115/1.1666883
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