Influence of Marangoni convection on the flow pattern in the melt during growth of Y3Al5O12 single crystals by the Czochralski method

A melt flow taking place during growth of Y3Al5O12 crystals by the Czochral ski method including the Marangoni convection is analyzed using a finite el ement method. The presence of even weak Marangoni convection strongly affec ts the flow pattern and temperature distribution in the YAG melt. A superpo sition of thermocapillary and buoyancy forces causes the interface to be 20 % more convex towards the melt compared to that situation without Marangoni convection. This effect is more pronounccd if the melt level is low. A qua si-planar interface is obtained by using higher rotation rates if Marangoni convection is not included in the analysis. However, the planar interface cannot be easily achieved even if small Marangoni convection is present; th e interface is concave at the centre and convex at the edge of the crystal causing the whole interface to be wave-like in shape. Such shape of the int erface indicates difficulties in determining a point of interface inversion . (C) 2000 Elsevier Science B.V. All rights reserved.