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ISSN Online: 2377-424X

ISBN Print: 1-56032-797-9

International Heat Transfer Conference 11
August, 23-28, 1998, Kyongju, Korea

NUMERICAL CALCULATION OF NATURAL AND MIXED CONVECTION IN A CZOCHRALSKI CRUCIBLE UNDER TRANSVERSE MAGNETIC FIELDS

Get access (open in a dialog) DOI: 10.1615/IHTC11.3110
pages 239-244

Sinopsis

Natural and mixed convection of liquid metal under a transverse uniform magnetic field was numerically studied with and without a rotation of a crucible for configuration of Czochralski crystal growth process. Transient computation for a fully three-dimensional model system converged for Ha=50,100 and 300 at Ra=2×105 and Pr=0.0374. With the increase in the strength of a magnetic field, average velocity components and average Nusselt number at a phase-change interface decreased due to a Lorentz force. Velocity components are all downwards in a vertical cross section parallel to the magnetic field, while those in a plane perpendicular to the magnetic field are natural convection dominant. A top view of temperature contours represent an elliptic shape which is supported by a practically grown crystal rod with an elliptic cross section. These peculiar velocity profiles and elliptic temperature contours could have been explained well with considering the Lorentz force.