Conjugate convective heat transfer of a crystal with an ambient medium under the conditions of thermal gravitation convection in Czochralski method
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.
- Publication:
-
Thermophysics and Aeromechanics
- Pub Date:
- September 2012
- DOI:
- 10.1134/S0869864312030109
- Bibcode:
- 2012Th&Ae..19..449B
- Keywords:
-
- crystal growth;
- conjugate heat transfer;
- thermal gravitation convection;
- temperature fields in crystals;
- numerical simulation;
- finite element method