Effects of rotating magnetic fields on thermocapillary flow: Comparison of the infinite and the Φ1–Φ2 models

Convection control of three-dimensional thermocapillary flow by a rotating magnetic field (RMF) was simulated numerically, and the RMF infinite and RMF Φ1–Φ2 models were compared. The results of using both RMF models demonstrate that the transverse RMF stirs convection in an azimuthal direction and suppresses convection in the axial direction, which is helpful for the three-dimensional melt convection to become axisymmetric. Compared to the RMF Φ1–Φ2 model, however, the over-simplified RMF infinite model leads to a relatively large deviation. With the same magnetic field (7 mT, 50 Hz), the RMF infinite model results in a larger azimuthal velocity and a smaller axial velocity.