SIMULATION OF THE CONJUGATE HEAT TRASFER ON THE PROCESS INCIPIENT STATE IN A BRIDGMAN METHOD

Numerically the conjugate convective heat transfer in a flat-bottomed graphite crucible at a stage previous an onset of solidification of a silicon melt in a vertical variant of a Bridgman method is researched. The finite element method on rectangular mesh solves set of equations of thermogravitational convection in Boussinesq approximation in variables temperature, a stream function and a vorticity in cylindrical co-ordinates. At the fixed geometry of calculation region evolution of the space configuration of melt flow of silicon of the thermogravitational nature in a range of Grashof numbers Gr from 1 to 1,3 × 10⁷ is studied. Self-consistent fields of temperature in a melt, walls of a crucible and in a gas interlayer are calculated at stationary boundary conditions.

Keywords:
Crystal growth, Bridgman method, the conjugate heat convection, numerical simulation, finite element method.
УДК 536.24: 621.746

SIMULATION OF THE CONJUGATE HEAT TRASFER ON THE PROCESS INCIPIENT STATE IN A BRIDGMAN METHOD