Convective Interactions and Heat Transfer in a Czochralski Melt with a Model Phase Boundary of Two Different Shapes
Implicit in most large-scale numerical analyses of the crystal growth from the melt is the assumption that the shape and position of the phase boundary are determined by the transport phenomena coupled strongly to the melt hydrodynamics. In the present numerical study, the interface shape-effect on the convective interactions in a Czochralski oxide melt is described. It was demonstrated that thermocapillary flow affects inversely the phase boundaries of distinct shapes. The inhomogenity of heat flux and the location of the stagnation point at the crystallization front were investigated. The forced convection effect on the point displacement at the boundary found to be much stronger for the flat plate interface compared to the cone-shaped one with and without the Marangoni flow.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1092305Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1899
 Y. Fei, M.M.C. Chou, B.H.T. Chai, "Crystal growth and morphology of substituted gadolinium gallium garnet” J. Cryst. Growth, vol. 240, 2002, pp. 185-189.
 Z. Jia, X. Tao, C. Dong, X. Cheng, W. Zhang, F. Wu, M. Jiang, "Study on crystal growth of large size Nd: Gd3 Ga5 O12 single crystals by Czochralski method” J. Cryst. Growth, vol. 292, 2006, pp. 386-390.
 N. Crnogorac, H. Wilke, K. A. Cliffe, A. Yu. Gelfgat, E. Kit, "Numerical modeling of instability and supercritical oscillatory state in a Czochralski model system of oxide melt” Cryst. Res. Technol. vol. 43, 2008, pp.606-615.
 O. N. Budenkova, M.G. Vasiliev, V.S. Yuferev, I. A. Ivanova, A.M. Ivanov, A. M. Bul'kanov, V.V. Kalaev, "Investigation of the variation in the crystallization front shape during growth of gadolinium gallium and terbium gallium crystals by the Czochralski method” Crystallography Reports, vol.53, 2008,pp.1181-1190.
 N. Crnogorac, H. Wilke, G. O. Young, "Measurement of physical properties of DyScO3 melt” Cryst. Res, Technol, vol. 44, 2009, pp. 581-589.
 A. Yeckel, J.J. Derby, "Computational simulations of the growth of crystals from liquids” in Crystal Growth Technology, H. J. Scheel and T. Fukuda, Eds. New York: John wiley and sons, 2003, pp. 115–137.