Thermoelectrically driven melt motion during floating zone crystal growth with a strong axial magnetic field

This paper presents analytical solutions for the fluid motion in a cylindrical liquid bridge due to the interaction of a strong axial magnetic field and the electric currents produced by a jump in the Seebeck electromotive force across one of the liquid-solid interfaces. The thermoelectric currents and the axial magnetic field drive an azimuthal motion. The axial variation of the centrifugal force due to the azimuthal velocity drives a meridional motion with radial and axial velocities. The azimuthal velocity is much larger than the radial and axial ones. These flows may be important for semiconductor crystal growth by the floating zone process when strong magnetic fields are used to control the melt motion.