Abstract
A mathematical model of convective heat-mass transfer during crystal growth process is proposed. This model is based on the cluster approach of simulation of transient area in the melt near the front of crystallization. The melt structural model near the crystallization front considers the availability of clusters formation that cause resistance to the melt flow. This resistance of medium is described by means of specific double-phase coefficient introduction depending on the enthalpy value in each assigned mesh micro-volume under calculation. Basing onto space growth experiments aboard the Photon series satellites, the necessary empirical model parameters are evaluated. The results of the model testing are demonstrated, including the description of real orbital and groundbased GaSb :In crystallization experiments.