Abstract

We present the Czochralski bulk flow simulations of forced convection in a crucible filled with liquid copper performed by the procedure in our previous paper [11]. Moreover, we describe the extension of our programme for the numerical solution of the time-dependent Navier-Stokes equations with Boussinesq approximation and the convective heat conduction equation in the Czochralski crystal-growth arrangement. By means of several digital simulations with a low kinematic viscosity, typical for liquid metals, and characteristic rotational angular velocities of crystal and crucible, the influence of free buoyancy driven convection on the familiar forced convective flow patterns is studied with special emphasis on the occurrence of flow and temperature oscillations. Additionally, we show the combined free and forced convective flow patterns in the isorotational and the counterrotational Czochralski Accelerated Crucible (and Crystal) Rotation Technique arrangement (CACRT) for a fluid of the viscosity of liquid silicon.

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