Journal of Crystal Growth, Vol.401, 111-115, 2014
Simplified numerical approach for estimation of effective segregation coefficient at the melt/crystal interface
A thermo-gravitational convection and impurity transfer in the melt were investigated using a simplified numerical model for Bridgman GaSb(Te) crystal growth in microgravity conditions. Simplifications were as follows: flat melt/crystal interface, fixed melt sizes and only lateral ampoule heating. Calculations were carried out by Ansys (R)Fluent(R) code employing a two-dimensional Navier-Stokes-Boussinesq and heat and mass transfer equations in a coordinate system moving with the melt/crystal interface. The parametric dependence of the effective segregation coefficient K-eff at the melt/crystal interface was studied for various ampoule sizes and for microgravity conditions. For the uprising one-vortex flow, the resulting dependences were presented as K-eff vs. V-max-the maximum velocity value. These dependences were compared with the formulas by Burton-Prim-Slichter's, Ostrogorsky-Muller's, as well as with the semi-analytical solutions. (C) 2014 Elsevier B.V. All rights reserved.
Keywords:Computer simulation;Convection;Heat transfer;Mass transfer;Impurities;Interfaces;Segregation;Bridgman technique;Microgravity conditions