NUMERICAL SIMULATION IN MAGNETIC CZOCHRALSKI CRYSTAL GROWTH MELT USING GSMAC-FEM

Numerical Modeling of Czochralski Silicon Crystal Growth

Modeling of heat transfer is presented for the entire Czochralski Si-growth furnace. The axisymmetric steady-state approach with moving computational grids is used. Melt turbulent flow, inert gas flow, heat transfer in solid parts, and radiative heat transfer in the system are considered. The Reynolds-averaged Navier-Stokes equations written with the Boussinesq approximation and the energy equa...

Czochralski Growth of Oxide Crystals: Numerical Simulation and Experiments

A mathematical model that explores the basic transport phenomena in a Czochralski process, their interaction and influence on the growth of high quality oxide crystals is presented. Rare earth garnets YAG and Nd-doped YAG are considered as representative oxide materials for the purpose of modeling and numerical simulation. The model proposed is evolutionary in time, and axisymmetric in space. A...

Numerical Investigation of Melt Segregation Using FEM Coding Environment Escript

Three-dimensional numerical simulation of temperature and flow fields in a Czochralski growth of germanium

For a Czochralski growth of Ge crystal, thermal fields have been analysed numerically using the three-dimensional finite volume method (FLUENT package). The arrangement used in a real Czochralski crystal growth lab included a graphite crucible, heat shield, heating device, thermal insulation and chamber including two gas outlets. We have considered two cases for calculations, which are configur...

Magnetic Field Suppression of Melt Flow in Crystal Growth

A least-squares spectral finite element method was used to develop an accurate computer code for prediction of solidification from a melt under the influence of an externally applied magnetic field. The computational results indicate significantly different flow-field patterns and thermal fields in the melt and the accrued solid in the cases of full gravity, reduced gravity, and an applied unif...