Dependence of the temperature fields in crystals on their thermophysical parameters and the properties of the environment in Czochralski process with different modes of heat transfer

Abstract

Using the numerical method of finite elements, conjugate heat transfer is studied in different modes of heat transfer in a crystal–environment–growth chamber walls system geometrically similar to a simplified scheme of the thermal unit top in Czochralski process. Calculations are performed by varying the lengths of the seed crystals, along with the thermal conductivities of the crystal and rod. The Prandtl number is 0.68 (for argon), and the Grashof number is 16000.