Effect of the melt level drop in a stationary crucible on convective heat transfer in the Czochralski method
V.S. Berdnikov1,2, V.V. Vinokurov1
1Kutateladze Institute of Thermophysics, SB RAS, Novosibirsk, Russia
2Novosibirsk State Technical University, Novosibirsk, Russia
Keywords: crystal growth, thermogravitational convection, thermocapillary effect, mixed convection, velocity and temperature fields, local heat fluxes, numerical simulation, finite difference method
Abstract
In the regimes of mixed convection, the Czochralski method investigates numerically the effect of a melt layer height on hydrodynamics and convective heat transfer in the range of relative heights of the heptadecane layer 0.1 ≤ H/RС ≤ 2.0 with a step of 0.1. Calculations were performed using the finite difference method at a fixed rate of crystal rotation corresponding to the Reynolds number Re = 95, with the Grashof, Marangoni and Prandtl numbers Gr = 1215, Ma = 2930, Pr = 40.35 for the ratio of crucible radius to crystal radius RС/RS = 1.94. In this range of parameters, the flow has a laminar, steady and axisymmetric character. The evolution of the spatial flow shape, velocity and temperature fields, radial distributions of local heat fluxes, and integral heat transfer is studied depending on the relative heights of the heptadecane layer.
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