MHD Effect on the Thermocapillary Silicon Melt Flow in Various Annular Enclosures

Abstract To simulate thermocapillary magnetohydrodynamic (MHD) convection in different shallow annular enclosures filled with silicon melt, a 3D numerical approach using an implicit finite volume formulation is used. Radiation emitted upward from the enclosure's free top surface, bottom one heated vertically and subjected to external magnetic field. The steady unsteady MHD flow four ( R = 0.5, 0.6, 0.7, 0.8) field studied. effects of varying gaps, , on hydrothermal wave number azimuthal pattern are obtained. velocity, temperature disturbances, transition oscillatory also depicted. results reveal that: waves m 4, 6 8 observed for 0.6 respectively. Oscillatory flows dominated by 3 found when 0.8. velocity fluctuations at surface decrease as magnitude (Ha) increases, would turn Ha exceeds critical value.