DOPANT CONCENTRATION PROFILE IN A CZOCHRALSKI FLOW OF LIQUID-METAL INA VERTICAL OR A HORIZONTAL MAGNETIC-FIELD

Dopant concentration profiles are obtained for a Czochralski flow of l iquid metal in a static crucible under either an axisymmetric vertical magnetic field or a horizontal uniform magnetic field. The latter mag netic field inevitably requires fully three-dimensional cylindrical co ordinate model equations, which are successfully solved for the repres entative parameters Gr = 10(7), Pr = 0.01, Re = 1620 and Ha less-than- or-equal-to 1000. Asymmetric concentration profiles are obtained. The average heat flux decreased with the Hartmann number. The circumferent ial rotational direction was found to be reversed in a lower regime ag ainst that of a top rotating crystal rod in a strong lateral magnetic field. In a vertical magnetic field, the concentration profile approac hed the pure diffusion state.