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International Heat Transfer Conference 9

ISSN: 2377-424X (online)
ISSN: 2377-4371 (flashdrive)

NUMERICAL COMPUTATION FOR A CZOCHRALSKI BULK FLOW OF LIQUID METALS UNDER A VERTICAL EXTERNAL MAGNETIC FIELD

Hiroyuki Ozoe
Institute of Advanced Material Study, Kyushu University, Kasuga, Japan; and Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, P. R. China

Keiji Toh
Institute of Advanced Material Study Kyushu University, Kasuga, Fukuoka, Japan

DOI: 10.1615/IHTC9.870
pages 311-316

Abstract

Mathematical model equations were derived and numerically solved for natural convection of liquid metals in a cylindrical enclosure with an external vertical magnetic field. At the top of the regime, a bottom of a cold crystal rod is rotating. Cylindrical enclosure is isothermally heated. The model fluid is molten silicon with Prandtl number of 0.054. The SIMPLER scheme was employed for numerical calculation. For three sets of a parameter Gr/Re2 = 18.5, 1.0 and 2.31, steady state solutions were obtained for Hartman numbers 0, 100 and 1000. For Gr/Re2 = 18.5, buoyancy dominant flow, magnetic field accelerated some part of flow and increased the local Nusselt number under a rotating crystal rod. Otherwise, the flow was suppressed for all cases. Under a strong magnetic field, rotational velocity appeared only under a rotating crystal.

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