Three-dimensional numerical simulation of thermal convection in an industrial Czochralski melt:: comparison to experimental results

被引:61
作者
Vizman, D
Gräbner, O
Müller, G
机构
[1] W Univ Timisoara, Fac Phys, Dept Phys, Timisoara 1900, Romania
[2] Univ Erlangen Nurnberg, Inst Mat Sci, Crystal Growth Lab, D-91058 Erlangen, Germany
[3] Fraunhofer Inst Integrated Circuits IIS B, Dept Crystal Growth, D-91058 Erlangen, Germany
关键词
computer simulation; convection; heat transfer; Czochralski method; semiconducting silicon;
D O I
10.1016/S0022-0248(01)01633-5
中图分类号
O7 [晶体学];
学科分类号
0702 ; 070205 ; 0703 ; 080501 ;
摘要
Numerical simulations were carried out in order to predict the oscillatory convection of a silicon melt induced by natural convection and forced convection due to crucible and crystal rotation in an industrial Czochralski configuration. The predicted thermal field is compared to experimental observations of the thermal field and temperature fluctuations in the melt. Temperature fluctuations have been measured during a crystal growth process using a thermocouple. The governing equations were numerically solved using the code STHAMAS 3D, based on a block-structured finite-volume Navier-Stokes solver. The three-dimensional simulation of flow was done without any turbulence model. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:687 / 698
页数:12
相关论文
共 16 条
[1]   Three-dimensional simulation of flow and thermal field in a Czochralski melt using a block-structured finite-volume method [J].
Basu, B ;
Enger, S ;
Breuer, M ;
Durst, F .
JOURNAL OF CRYSTAL GROWTH, 2000, 219 (1-2) :123-143
[2]  
BREUER M, 1999, P INT WORKSH COMP MO, P1
[3]   EXPERIMENTAL-STUDY OF EFFECTS OF PRANDTL NUMBER ON THERMAL-CONVECTION IN A ROTATING, DIFFERENTIALLY HEATED CYLINDRICAL ANNULUS OF FLUID [J].
FEIN, JS ;
PFEFFER, RL .
JOURNAL OF FLUID MECHANICS, 1976, 75 (MAY13) :81-112
[4]  
Ferziger J.H., 2019, Computational Methods for Fluid Dynamics
[5]  
GABNER O, 2000, MAT SCI ENG B-FLUID, V73, P130
[6]   Geostrophic turbulence in CZ silicon crucible [J].
Kishida, Y ;
Okazawa, K .
JOURNAL OF CRYSTAL GROWTH, 1999, 198 :135-140
[7]   Transition from regular to irregular thermal wave by coupling of natural convection with rotating flow in Czochralski crystal growth [J].
Lee, YS ;
Chun, CH .
JOURNAL OF CRYSTAL GROWTH, 1999, 197 (1-2) :297-306
[8]   VECTORIZED STRONGLY IMPLICIT SOLVING PROCEDURE FOR A SEVEN-DIAGONAL COEFFICIENT MATRIX [J].
Leister, H. -J. ;
Peric, M. .
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 1994, 4 (01) :159-172
[9]  
MIHELCIC M, 1984, J CRYST GROWTH, V69, P473, DOI 10.1016/0022-0248(84)90359-2
[10]   CONVECTIVE INSTABILITIES IN MELT GROWTH CONFIGURATIONS [J].
MULLER, G .
JOURNAL OF CRYSTAL GROWTH, 1993, 128 (1-4) :26-36