Conjugate convective heat transfer of a crystal with an ambient medium under the conditions of thermal gravitation convection in Czochralski method
V.S. Berdnikov, A.M. Grigorieva, M.S. Kleschenok
Kutateladze Institute of Thermophysics SB RAS
berdnikov@itp.nsc.ru
Keywords: crystal growth, conjugate heat transfer, thermal gravitation convection, temperature fields in crystals, numerical simulation, finite element method
Pages: 449-462
Abstract
Results on conjugate convective heat transfer in a system geometrically similar to the system crystal-gas-growing vessel shell of a growing vessel obtained by the Czochralski method are presented. Equations of thermal gravitation convection in Boussinesq approximation are solved by the finite element method in the following variables: temperature, stream function, and vorticity in cylindrical coordinates. Heat transfer from the crystal was studied within the range of Grashof number 100 ≤ Gr ≤ 104 for the fixed configuration of calculation domain. Dependence of the temperature field in the silicon crystal on convection intensity in gas (argon) was examined.
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