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...

Crystal dissolution may include three component processes: interface reaction, diffusion and complications due to convection. We report here a theoretical and experimental study of crystal dissolution in silicate melt without convection. A reaction-diffusion equation is developed and numerically solved. The results show that during non-convective crystal dissolution in silicate melt, the interf...

Mirror tilting effects on the interface shape during crystal growth and on the etch pit density of the grown crystals were studied using a tilting-mirror-type image furnace. With increase of tilting angle of mirrors, convexities of both melt-feed and melt-crystal interface and the etch pit density of the grown crystal were systematically reduced. The melt zone, which is formed during crystal gr...

Plate tectonics and volcanism involve the formation, migration, and interaction of magma and gas. Experiments show that melt inclusions subjected to a thermal gradient migrate through olivine crystals, under the kinetic control of crystal-melt interface mechanisms. Exsolved gas bubbles remain fixed and eventually separate from the melt. Scaled to thermal gradients in Earth's mantle and geologic...

The effects of melt-pool geometrical parameters on crystal growth and microstructure development during laser surface melting of single-crystal alloys were studied by means of mathematical modeling and experiments. A mathematical model was developed for the three-dimensional (3-D) melt-pool geometry and single-crystalline melt-pool solidification in laser surface melting. The 3-D meltpool geome...

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...