The vertical Bridgman technique is commonly used for the growth of III-V and II-VI semiconductors, halide and chalcogenide crystals, and a number of oxides for scintillation or laser applications. This technique has some drawbacks that are linked to the use of a crucible in intimate contact with the crystal. In order to solve these problems some variants based on capillary aspects have been proposed, such as full encapsulation or dewetting [1]. Modeling and simulation are very important for a better understanding of the phenomena involved in the crystal growth processes. In the specific case of the vertical Bridgman technique, it is useful to include in a single model the transport phenomena (energy, momentum, mass) and the interfacial phenomena at the melt-crystal-crucible and respectively melt-gas-crucible interfaces. We already made a stationary model and obtained some numerical results for the coupled heat transfer and fluid dynamics in the vertical Bridgman solidification of InSb [2]. In the present paper we extend our previous model by including the calculation of the energy, momentum and mass transport, plus the interfacial phenomena at the melt-gas-crucible interface, under normal gravity, while applying a time dependent step-type temperature distribution on the outer part of the crucible. The geometry of the model resemble that used in a vertical Bridgman configuration: a cylindrical silica crucible (90 mm in length, having a 5.5 mm inner radius and a 6.5 mm outer radius) contains the InSb charge. A slightly modified version of the model presented by Voller and Prakash [3] is used to account for solidification of the liquid phase, including convection and conduction heat transfer with mushy region phase change. In order to model the flow of two different, immiscible fluids, where the exact position of the interface is of interest, we have applied the phase-field (diffuse interface) method. All these new models were developed numerically by using the finite element software COMSOL Multiphysics. Using the actual models, the numerical calculation of the thermal field, velocity field, and interface shape gives qualitatively correct results (see Figure 1 for the shape of the interfaces). For developing better models numerical results must be compared with the experimental ones and this will be done in a next step of the study.

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