Abstract
The paper deals with the numerical investigation of the possibilities to control convective flows in the floating zone process in zero gravity conditions applying static axial magnetic field or axial vibrations. The surface tension is assumed to be dependent both on the temperature and on the solute concentration. The free surface deformations and the curvature of the phase change surfaces are neglected. The first part of the paper concerns axisymmetric steady flows. The calculations show that the evolution of convective flow with the variation of thermal Marangoni number at fixed value of the solutal Marangoni number is accompanied by the hysteresis phenomenon, which is related to the existence of two stable steady regimes in certain parameter range. One of these regimes is thermocapillary dominating, it corresponds to the two-vortex flow, and the other is solutocapillary dominating, it corresponds to the single-vortex flow The second part of the paper concerns the stability of axisymmetric thermo- and solutocapillary flows and the transition to three-dimensional regimes. Stability maps in the parameter plane thermal Marangoni number - solutal Marangoni number are obtained for different values of vibration parameters and Hartmann number.
