Numerical study of heat transport and fluid flow of melt and gas during the seeding process of sapphire czochralski crystal growth

Crystal Growth and Design

Volumn 7, Issue 4, 2007, Pages 644-651

  Tavakoli, Mohammad Hossein ^a   Wilke, Hermann ^b  

^a BU ALI SINA UNIVERSITY   (Iran)

^b LEIBNIZ INSTITUTE FOR CRYSTAL GROWTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247478634     PISSN: 15287483     EISSN: None     Source Type: Journal    
DOI: 10.1021/cg060383y     Document Type: Article

References (21)

1. Kobayashi, N. Computational simulation of the melt flow during Czochralski growth. J. Cryst. Growth 1978, 43, 357-363.
2. Kobayashi, N. Hydrodynamics in Czochralski growth-computer analysis and experiments. J. Cryst. Growth 1981, 52, 425-434.
3. Derby, J. J.; Atherton, L. J.; Gresho, P. M. An integrated process model for the growth of oxide crystals by the Czochralski method. J. Cryst. Growth 1989, 97, 792-826.
4. Derby, J. J.; Xiao, Q. The role of internal radiation and melt convection in Czochralski oxide growth: deep interfaces, interface inversion, and spiraling. J. Cryst. Growth 1991, 113, 575-586.
5. Derby, J. J.; Xiao, Q. Heat transfer and interface inversion during the Czochralski growth of yttrium aluminum garnet and gadolinium gallium garnet. J. Cryst. Growth 1994, 139, 147-157.
6. Tsukada, T.; Imaishi, N.; Hotawa, M. Theoretical study of the flow and temperature fields in CZ single crystal growth. J. Chem. Eng. Jpn. 1988, 21, 184-191.
7. Tsukada, T.; Imaishi, N.; Hozawa, M. Global analysis of heat transfer in CZ crystal growth of oxide. J. Chem. Eng. Jpn. 1994, 27, 25-31.
8. 3 single crystal. J. Cryst. Growth 1997, 180, 543-550.
9. Jing, C. J.; Imaishi, N.; Yasuhiro, S.; Miyazawa, Y. Three-dimensional numerical simulation of spoke pattern in oxide melt. J. Cryst. Growth 1999, 200, 204-212.
10. Jing, C. J.; Imaishi, N.; Sato, T.; Miyazawa, Y. Three-dimensional numerical simulation of oxide melt flow in Czochralski configuration. J. Cryst. Growth 2000, 216, 372-388.
11. 12 single crystals by the Czochralski method. J. Cryst. Growth 2000, 216, 389-398.
12. 12 single crystals using the Czochralski method. Cryst. Res. Technol. 2000, 35, 1263-1278.
13. Banerjee, J.; Muralidhar, K. Simulation of transport processes during Czochralski growth of YAG crystals. J. Cryst. Growth. 2006, 286, 350-364.
14. Tavakkoli, M. H.; Wilke, H. Numerical study of induction heating and heat transfer in a real Czochralski system. J. Cryst. Growth 2005, 275, e85-e89.
15. Cliffe, K. A. SERCO Ltd.; http://www.sercoassurance.com/entwife/.
16. http://www.enseeiht.fr/lima/apo/MUMPS/.
17. Tiller, W. A. The Science of Crystallization; Cambridge University Press, 1991; Chapter 7, pp 365-426.
18. Louchev, O. A.; Kumaragurubaran, S.; S. Takekawa, S.; Kitamura K. Thermally induced effects during initial stage of crystal growth from melts. J. Cryst. Growth 2004, 273, 320-328.
19. Borodin, V. A.; Davidova, L. B.; Erofeev, V. N.; Shdanov, A. V.; Startsev, S. A.; Tatarchenko, V. A. The effect of the solidification front shape on the temperature distribution in the crystal. J. Cryst. Growth 1979, 46, 757-762.
20. Ganschow, S.; Reiche, P.; Ziem, M.; Uecker, R. Controlling the axial temperature gradient in inductively heated Czochralski systems. Cryst. Res. Technol. 2003, 38, 42-46.
21. Reiche, P.; Hermoneit, B.; Schultze, D. A modified Heater system for RF-Czochralski Equipments. Cryst. Res. Technol. 1985, 20, 845-849.