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Large eddy simulation of Marangoni convection in Czochralski crystal growth
Author(s) -
Cen Xianrong,
Zhan Jiemin,
Li YokSheung
Publication year - 2011
Publication title -
crystal research and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0232-1300
DOI - 10.1002/crat.201000503
Subject(s) - marangoni effect , marangoni number , convection , large eddy simulation , surface tension , mechanics , natural convection , rayleigh–bénard convection , flow (mathematics) , vortex , materials science , crystal growth , free surface , crystal (programming language) , chemistry , thermodynamics , combined forced and natural convection , turbulence , physics , computer science , programming language
Large eddy simulation model is used to simulate the fluid flow and heat transfer in an industrial Czochralski crystal growth system. The influence of Marangoni convection on the growth process is discussed. The simulation results agree well with experiment, which indicates that large eddy simulation is capable of capturing the temperature fluctuations in the melt. As the Marangoni number increases, the radial velocity along the free surface is strengthened, which makes the flow pattern shift from circumferential to spiral. At the same time, the surface tension reinforces the natural convection and forces the isotherms to curve downwards. It can also be seen from the simulation that a secondary vortex and the Ekman layer are generated. All these physical phenomena induced by Marangoni convection have great impacts on the shape of the growth interface and thus the quality of the crystal. (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)