Phase Field Modeling on Effects of Static Magnetic Field on Oscillatory Deformation of Molten Droplet

In order to study the characteristics of oscillatory process of a molten silicon droplet under static magnetic field, the phase field method was adopted to numerically simulate the interface oscillation and internal fluid convection of a molten silicon droplet. The influence of an axial static magnetic field on the internal convection and interface oscillation of a molten silicon droplet with an initial shape of the second-order Legendre function was analyzed. The numerical result exhibits that the shrink of the droplet under static magnetic field is faster than that without magnetic field. The static magnetic field suppresses the fluid convection inside the droplet. As the imposed magnetic field intensity increases from 0 to 0.9 T, the maximum values of stream function reduce from 0.57 to 0.08, and the internal convection and interface oscillation are weakened gradually. Under magnetic field, the ratio of long-axis to short-axis of droplet quickly tends to 1. However, the magnetic field has almost no influence on oscillation frequency of droplet. The investigation indicates that the phase-field modeling can effectively simulate the interface oscillation and internal convection of the molten droplet even with high density.