Title: Prediction of Flow and Heat Transfer in a Czochralski Crucible using LES with Interface Tracking
Authors: Raufeisen, A.
Botsch, Tobias
Kumar, Vivek
Breuer, Michael 
Durst, Franz
Language: eng
Subject (DDC): 000 Informatik, Information & Wissen, allgemeine Werke
500 Naturwissenschaften
600 Technik
Issue Date: 2007
Publisher: Springer
Document Type: Conference Object
Source: Raufeisen, A., Botsch, T., Kumar, V., Breuer, M., Durst, F.: Prediction of Flow and Heat Transfer in a Czochralski Crucible using LES with Inter- face Tracking, ITI Conference on Turbulence 2005, Sept. 25–28, 2005, Bad Zwischenahn, Germany, In: Progress in Turbulence II, eds. Oberlack, Khujadze, Günther, Weller, Frewer, Peinke and Barth, Springer Proceedings in Physics, vol. 109, ISBN 978–3–540–32602–1, pp. 289–292, Springer Verlag, Berlin Heidelberg New York, (2007).
Page Start: 289
Page End: 292
Published in (Book): Progress in Turbulence II
Publisher Place: Berlin
Conference: ITI Conference on Turbulence 2005, Sept. 25–28, 2005, Bad Zwischenahn, Germany
The Czochralski (Cz) method is the preferred process for growing large silicon single crystals for wafers which are used in electronic and photonic devices. The liquid silicon (P r = 0.013) is contained in an open crucible which is rotating, while the counterrotating crystal is pulled from the melt. Due to this setup, centrifugal and Coriolis forces, buoyancy, and Marangoni convection occur in the fluid as well as thermal radiation from the surface and the phase change due to crystallization. The shape of the interface between melt and crystal is crucial for the quality of the resulting crystal. Therefore, the influences of all effects on the crystallization front need to be investigated. Unfortunately, the flow inside the melt is fully turbulent (Re ≈ 10^4, Ra ≈ 10^7), which makes numerical predictions difficult. It can be shown that the turbulent structures in this case are highly anisotropic and thus classical RANS models are not applicable. Highly accurate Direct Numerical Simulations (DNS) require high resolution and therefore use massive computational resources. Large Eddy Simulation (LES) combines the advantages of both: The large turbulent scales are computed directly, whereas the small scales are modeled. Thus a relatively high accuracy is achieved with moderate computational effort, so that parametric studies can be conducted easily.
Organization Units (connected with the publication): Strömungsmechanik 
ISBN: 978-3-540-32602-1
Appears in Collections:6 - Bibliographic Data - Publications of the HSU Researchers (before HSU)

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