The influence of vibration on hydrodynamics and heat-mass transfer during crystal growth
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文摘
The results of mathematical and physical modeling of heat and mass transfer in vibrating flows are presented for Bridgman crystal growth with submerged vibrator. A shadow graphic system and computer processing of photographs is used to observe the melt motion in the experiments. Mathematical modeling is performed on the basis of the unsteady Navier–Stokes–Boussinesq equations for incompressible fluid including the Stefan boundary condition at the melt–crystal interface. The finite element code ASTRA was used for calculations. In numerical simulation the calculated instantaneous flows were averaged in time to evaluate the averaged vibrational flow (AVF).
The results of research about the influence of high-frequency vibrations with small amplitudes on hydrodynamics and heat transfer are reported. The numerical and experimental results illustrate the influence of the vibration on the AVF, on the temperature distribution and on the curvature of the crystallization front.