Three-dimensional modelling of GeSi growth in presence of axial and rotating magnetic fields

Numerical simulation of Cz crystal growth in rotating magnetic field with crystal and crucible rotations

“…e r and e y are the radial and angular position, respectively. In the computation of Lorentz forces, the infinite model is widely adopted in the literature [5,11,12], which ignores the effects of the convection on the electric current and the magnetic field. Therefore, the components of the Lorentz force in our model may be written in the following form: f r ¼ 0, f z ¼ 0 and f y ¼ ðs m B 2 0 or=2Þ.…”

“…It means that the inverse temperature gradient is conducive to make flow unstable, however, under the influence of RMF the stabilization occurs as a result of a flow transition from large scale buoyancy driven to small scale magnetically driven turbulence. Recently, Rakozy [11] and Jaber et al [12] applied the rotating magnetic field to the solid dissolution process and traveling heater method crystal growth process, respectively.…”

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

“…They reported that, compared to the RMF simplified finite model, the infinite model underestimated the critical Reynolds number (beyond which point the Taylor vortices appeared in the middle of the container) by more than 50% for h/d ¼ 1. Jaber et al [9] applied the infinite model to simulate the influence of the RMF on the buoyancy convection in the traveling solvent method. They reported that, as the intensity of the magnetic field increased, the RMF changed the contours of concentration from convex to nearly flat.…”

Magnetic control of natural convection in the horizontal Bridgman configuration: symmetric and non-symmetric cross sections

“…More recently, a three-dimensional numerical simulation has been performed by Jaber et al (2009) to study the growth of Ge 0.98 Si 0.02 by the travelling solvent method. They applied axial and rotating magnetic fields to suppress the buoyancy convection in the melt zone.…”