TY - JOUR

T1 - Numerical 3D modelling of turbulent melt flow in a large CZ system with horizontal DC magnetic field. II. Comparison with measurements

AU - Krauze, A.

AU - Muižnieks, A.

AU - Mühlbauer, A.

AU - Wetzel, Th

AU - Tomzig, E.

AU - Gorbunov, L.

AU - Pedchenko, A.

AU - Virbulis, J.

N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2004/4/15

Y1 - 2004/4/15

N2 - This paper presents a comparison between numerically calculated and measured temperature distributions in turbulent flow in a laboratory model for a CZ large silicon single crystal industrial growth system with a horizontal DC magnetic field. The laboratory model consists of an electrically heated 20" crucible with low-temperature InGaSn melt, a water-cooled metallic crystal model, and a magnet system creating a horizontal magnetic field in the range 0-0.16T. Distributions of time-averaged temperature values in various cross sections in the melt are obtained from measurements by a multichannel thermocouple system. A 3D numerical model for the scalar potential induced in the melt by the velocity field in the horizontal DC magnetic field is implemented in the HD program package CFD-ACE+TM(V2003). For 3D HD calculations, moderate grids and the RNG k-ε turbulence model are used. Comparisons between calculated and measured temperature distributions in various cross sections are carried out for the cases with and without crucible and crystal rotation and with and without the magnetic field. The agreement is generally good, but some local discrepancies appear in the cases with the crystal rotation.

AB - This paper presents a comparison between numerically calculated and measured temperature distributions in turbulent flow in a laboratory model for a CZ large silicon single crystal industrial growth system with a horizontal DC magnetic field. The laboratory model consists of an electrically heated 20" crucible with low-temperature InGaSn melt, a water-cooled metallic crystal model, and a magnet system creating a horizontal magnetic field in the range 0-0.16T. Distributions of time-averaged temperature values in various cross sections in the melt are obtained from measurements by a multichannel thermocouple system. A 3D numerical model for the scalar potential induced in the melt by the velocity field in the horizontal DC magnetic field is implemented in the HD program package CFD-ACE+TM(V2003). For 3D HD calculations, moderate grids and the RNG k-ε turbulence model are used. Comparisons between calculated and measured temperature distributions in various cross sections are carried out for the cases with and without crucible and crystal rotation and with and without the magnetic field. The agreement is generally good, but some local discrepancies appear in the cases with the crystal rotation.

KW - A1. Computer simulation

KW - A1. Fluid flows

KW - A1. Heat transfer

KW - A1. Horizontal static magnetic field

KW - A2. Magnetic field assisted Czochralski method

KW - B2. Semiconducting silicon

UR - http://www.scopus.com/inward/record.url?scp=1842580030&partnerID=8YFLogxK

U2 - 10.1016/j.jcrysgro.2004.01.032

DO - 10.1016/j.jcrysgro.2004.01.032

M3 - Article

AN - SCOPUS:1842580030

VL - 265

SP - 14

EP - 27

JO - Journal of crystal growth

JF - Journal of crystal growth

SN - 0022-0248

IS - 1-2

ER -