HEAT AND MASS-TRANSFER THROUGH A LIQUID-METAL IN AN INFINITELY LONG, ROTATING CYLINDER WITH A UNIFORM, TRANSVERSE MAGNETIC-FIELD

This paper treats a liquid-metal motion in an infinitely long, vertical cylinder which is rotating about its vertical axis in the presence of a steady, uniform, horizontal magnetic field. The liquid near the cylinder wall rotates with the cylinder, but elsewhere the velocity is parallel to the magnetic field. This paper also treats a steady, two-dimensional heat and mass transfer problem which qualitatively models some aspects of the Czochralski growth of silicon crystals with a uniform, horizontal magnetic field. In spite of the strongly asymmetric flow and relatively large values of the Peclet number, the temperature and solutal distributions do not deviate significantly from axisymmetry.