Numerical Simulation of Marangoni Flow in Czochralski Crystal Growth Under Magnetic Field

摘要

Marangoni flow driven by surface tension gradients in an industrial Czochralski crystal growth system is studied numerically. Using large eddy simulation (LES), the turbulent flow and melt temperature fluctuations are calculated. The present simulation gives special attention to the implementation of the magnetic field. With Magnetohydrodynamics (MHD) model provided by the commercial CFD code, the influence of the vertical magnetic field on the heat and mass transfer process is investigated. With increasing Hartmann number, the inhibition effect of the Lorentz force is enhanced and the temperature fluctuations are damped, which makes the melt flow more stable. It can be concluded that the introduction of the magnetic field is an effective way to control the crystal growth process.