Simulation of the Conjugate Heat Trasfer on the Process Incipient State in a Bridgman Method

Abstract

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