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Two and three‐dimensional numerical modeling of induction heating in oxide Czochralski systems
Author(s) -
Tavakoli M. H.,
Wilke H.
Publication year - 2008
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.200711108
Subject(s) - rotational symmetry , crucible (geodemography) , window (computing) , heat generation , oxide , mechanics , materials science , distribution (mathematics) , chemistry , physics , thermodynamics , metallurgy , mathematics , mathematical analysis , computer science , computational chemistry , operating system
In this article we report on a set of two‐dimensional and three‐dimensional numerical calculations for three different oxide Czochralski configurations in order to compare the results of the electromagnetic fields and the heat generation distribution. Two configurations without and with a gap between the crucible and active afterheater have axisymmetric conditions while the configuration with an open observation window in the afterheater is characterized by a non‐axisymmetric geometry. It has been found that in the non‐axisymmetric configuration under the influence of the observation window is located at the crucible side wall after a short distance behind the window cut out. Besides this influence the volumetric distribution of heat generation in the system is about symmetric. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)