Inertia and Thermal Convection during Crystal Growth with a Steady Magnetic Field

The steady axisymmetric buoyant convection in an electrically conducting liquid in a cylinder with a uniform axial magnetic field is examined. The geometry and boundary conditions are chosen to model the liquid-encapsulated Czochralski growth of compound semiconductor crystals. The objective is to determine the errors associated with the neglect of inertial effects or of convective heat transfer for a series of magnetic field strengths.