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Two-Dimensional Simulations on Heat Transfer and Fluid Flow for Yttrium Aluminium Garnet Single-Crystal Fiber in Laser-Heated Pedestal Growth System

Peng-Yi Chen, Chun-Lin Chang1, Chung-Wen Lan2, Wood-Hi Cheng, and Sheng-Lung Huang1,3

Department of Photonics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan
1Institute of Photonics and Optoelectronics, National Taiwan University, Taipei 10617, Taiwan
2Department of Chemical Engineering, National Taiwan University, Taipei 10617, Taiwan
3Department of Electrical Engineering, National Taiwan University, Taipei 10617, Taiwan

(Received May 26, 2009; accepted August 18, 2009; published online November 20, 2009)

Heat transfer and fluid flow in a laser-heated pedestal growth (LHPG) system are analyzed near the deformed interfaces. The global thermal distributions of the crystal fiber, the melt, and the source rod are described by their temperature and axial gradient over a length of ∼10 mm. Compared with the growth of bulk crystal of several centimeters in diameter, natural convection is 6 orders of magnitude smaller owing to the smaller melt volume; therefore, conduction rather than convection determines the temperature distribution in the molten zone. Moreover, thermocapillary convection rather than mass-transfer convection becomes dominant. The symmetry and mass flow rate of the double eddy pattern are significantly influenced by the molten-zone shape owing to the diameter reduction and the surface-tension-temperature coefficient when it is more than 10-4–10-3 dyn cm-1 K-1.

URL: http://jjap.ipap.jp/link?JJAP/48/115504/
DOI: 10.1143/JJAP.48.115504


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References

  1. R. S. Feigelson: Mater. Sci. Eng. B 1 (1988) 67.
  2. J. D. Love, W. M. Henry, W. J. Stewart, R. J. Black, S. Lacroix, and F. Gonthier: IEE Proc. J. Optoelectron. 138 (1991) 343[IoP STACKS].
  3. C. N. Tsai, Y. S. Lin, K. Y. Huang, Y. S. Lin, C. C. Lai, and S. L. Huang: Jpn. J. Appl. Phys. 47 (2008) 6369[IPAP].
  4. M. J. F. Digonnet, C. J. Gaeta, and H. J. Shaw: J. Lightwave Technol. 4 (1986) 454.
  5. C. Y. Lo, P. L. Huang, T. S. Chou, L. M. Lee, T. Y. Chang, S. L. Huang, L. Lin, H. Y. Lin, and F. C. Ho: Jpn. J. Appl. Phys. 41 (2002) L1228[IPAP].
  6. C. C. Lai, K. Y. Huang, H. J. Tsai, K. Y. Hsu, S. K. Liu, C. T. Cheng, K. D. Ji, C. P. Ke, S. R. Lin, and S. L. Huang: Opt. Lett. 34 (2009) 2357.
  7. G. M. Davis, I. Yokohama, S. Sudo, and K. Kubodera: IEEE Photonics Technol. Lett. 3 (1991) 459[CrossRef].
  8. C. Y. Lo, K. Y. Huang, J. C. Chen, C. Y. Chuang, C. C. Lai, S. L. Huang, Y. S. Lin, and P. S. Yeh: Opt. Lett. 30 (2005) 129.
  9. C. Y. Lo, K. Y. Huang, J. C. Chen, S. Y. Tu, and S. L. Huang: Opt. Lett. 29 (2004) 439.
  10. J. C. Chen, Y. S. Lin, C. N. Tsai, K. Y. Huang, C. C. Lai, W. Z. Su, R. C. Shr, F. J. Kao, T. Y. Chang, and S. L. Huang: IEEE Photonics Technol. Lett. 19 (2007) 595[CrossRef].
  11. K. Y. Huang, K. Y. Hsu, and S. L. Huang: J. Lightwave Technol. 26 (2008) 1632.
  12. L. M. Lee, S. C. Pei, D. F. Lin, M. C. Tsai, T. M. Tai, P. C. Chiu, D. H. Sun, A. H. Kung, and S. L. Huang: J. Opt. Soc. Am. B 24 (2007) 1909.
  13. D. H. Yoon: Opto-Electron. Rev. 12 (2004) 199.
  14. M. Matsukura, Z. Chen, M. Adachi, and A. Kawabata: Jpn. J. Appl. Phys. 36 (1997) 5947[IPAP].
  15. P. Rudolph and T. Fukuda: Cryst. Res. Technol. 34 (1999) 3.
  16. R. P. Poplawsky: J. Appl. Phys. 33 (1962) 1616[AIP Scitation].
  17. D. B. Gasson and B. Cockayne: J. Mater. Sci. 5 (1970) 100[CrossRef].
  18. M. M. Fejer, J. L. Nightingale, G. A. Magel, and R. L. Byer: Rev. Sci. Instrum. 55 (1984) 1791[AIP Scitation].
  19. R. S. Feigelson, W. L. Kway, and R. K. Route: Opt. Eng. 24 (1985) 1102.
  20. R. S. Feigelson: J. Cryst. Growth 79 (1986) 669[CrossRef].
  21. C. W. Lan and S. Kou: J. Cryst. Growth 108 (1991) 351[CrossRef].
  22. J. F. Thompson, F. C. Thames, and C. W. Mastin: J. Comput. Phys. 15 (1974) 299.
  23. M. M. Fejer: Dr. Thesis, Faculty of Science, Stanford, Stanford University (1986).
  24. G. W. Young and J. A. Heminger: J. Cryst. Growth 178 (1997) 410[CrossRef].
  25. P. Y. Chen, C. L. Chang, K. Y. Huang, C. W. Lan, W. H. Cheng, and S. L. Huang: J. Appl. Crystallogr. 42 (2009) 553.
  26. C. W. Lan and S. Kou: Int. J. Numer. Methods Fluids 12 (1991) 59.
  27. K. Y. Huang, K. Y. Hsu, D. Y. Jheng, W. J. Zhuo, P. Y. Chen, P. S. Yeh, and S. L. Huang: Opt. Express 16 (2008) 12264.
  28. J. L. Duranceau and R. A. Brown: J. Cryst. Growth 75 (1986) 367[CrossRef].
  29. S. Yasuhiro, K. Li, N. Imaishi, Y. Akiyama, H. Natsui, S. Matsumoto, and S. Yoda: J. Cryst. Growth 266 (2004) 152[CrossRef].
  30. S. Brandon and J. J. Derby: J. Cryst. Growth 121 (1992) 473[CrossRef].
  31. V. J. Fratello and C. D. Brandle: J. Cryst. Growth 128 (1993) 1006[CrossRef].
  32. C. W. Lan and C. Y. Tu: J. Cryst. Growth 223 (2001) 523[CrossRef].
  33. A. D. Gosman, W. M. Pan, A. K. Runchal, D. B. Spalding, and M. Wolfshtein: Heat and Mass Transfer in Recirculating Flows (Academic Press, London, 1969) p. 18.
  34. C. W. Lan: Int. J. Numer. Methods Fluids 19 (1994) 41.
  35. F. P. Incropera and D. P. DeWitt: Fundamentals of Heat and Mass Transfer (Wiley, New York, 1996) 4th ed., p. 44.
  36. N. Kobayashi: Jpn. J. Appl. Phys. 27 (1988) 20[IPAP].

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