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Analysis of melt flows and remelting phenomena through numerical simulations during the kyropoulos sapphire single crystal growth

전산해석을 통한 키로플러스 사파이어 단결정 성장공정의 유동 및 remelting 현상 분석

  • Kim, Jin Hyung (Dongnam Regional Division, Korea Institute of Industrial Technology) ;
  • Park, Yong Ho (Department of Materials Science and Engineering, Pusan National University) ;
  • Lee, Young Cheol (Dongnam Regional Division, Korea Institute of Industrial Technology)
  • 김진형 (한국생산기술연구원 동남권지역본부) ;
  • 박용호 (부산대학교 재료공학부) ;
  • 이영철 (한국생산기술연구원 동남권지역본부)
  • Received : 2013.05.10
  • Accepted : 2013.06.07
  • Published : 2013.06.30

Abstract

Sapphire wafers are used as an important substrate for the production of blue LED (light emitting diode) and the LED's performance largely depends on the quality of the sapphire single crystals. There are several crystal growth methods for sapphire crystals and Kyropoulos method is an efficient way to grow large diameter and high-quality sapphire single crystals with low dislocation density. During Kyropoulos growth, the convection of molten melt is largely influenced by the hot zone geometry such as crucible shape, heater and refractory arrangements. In this study, CFD (computational fluid dynamics) simulations were performed according to the bottom/side ratios (per unit of the crucible surface area) of heaters. And, based on the results of analysis, the molten alumina flows and remelting phenomena were analyzed.

사파이어($Al_2O_3$) 단결정 웨이퍼는 청색 LED(light emitting diode) 제작을 위한 핵심 소재로 사용되고 있으며, 사파이어 단결정의 품질에 따라 LED의 성능이 크게 좌우하게 된다. 여러 가지 사파이어 단결정 제조방법 중 키로플러스(Kyropoulos)법은 도가니 직경에 근접한 크기로 잉곳 생산이 가능하며, 내부 전위밀도가 낮아 고품질의 대구경 사파이어 잉곳 제작이 가능하다. 키로플러스법 공정에서 용융 알루미나의 유동은 seed의 성장 형태, 도가니 및 단열재의 형상에 영향을 받으며, 유동양상에 따라 단결정 사파이어 잉곳의 품질이 좌우된다. 특히 온도구배는 hot-zone 내부의 히터 구조와 밀접한 관련이 있으므로 본 연구에서는 도가니 단위표면적당 하부와 측면 히터의 발열비율에 따른 CFD(computational fluid dynamics) 해석을 실시하고, 해석결과를 토대로 각각 용융 알루미나의 유동 및 remelting 현상에 대해 분석하였으며, 이상적인 히터 발열비율을 도출하였다.

Keywords

References

  1. Korea Association for Photonics Industry Development, "Trends of LED technology developments and patents", Photonics Industry News 27 (2005) 36.
  2. Y.C. Lee, Y.M. Kim and H.H. Jo, "Trends of technology about sapphire crystal growth method for LED", Trends in Metals & Materials Engineering 25(1) (2012) 15.
  3. S.E. Demina, E.N. Bystrova, V.S. Postolov, E.V. Eskov, M.V. Nikolenko, D.A. Marshanin, V.S. Yuferev and V.V. Kalaev, "Use of numerical simulation for growing highquality sapphire crystals by the kyropoulos method", Journal of Crystal Growth 310 (2008) 1443. https://doi.org/10.1016/j.jcrysgro.2007.11.083
  4. S.J. Lim, H.Y. Shin, J.H. Kim and J.I. Im, "Finite element analysis for czochralski growth process of sapphire single crystal", Journal of the Korean Crystal Growth and Crystal Technology 21(5) (2011) 193. https://doi.org/10.6111/JKCGCT.2011.21.5.193
  5. S.E. Demina, E.N. Bystrova, M.A. Lukanina, V.M. Mamedov, V.S. Yuferev, E.V. Eskov, M.V. Nikolenko, V.S. Postolov and V.V. Kalaev, "Numerical analysis of sapphire crystal growth by the kyropoulos technique", Optical Materials 30 (2007) 62. https://doi.org/10.1016/j.optmat.2006.11.012
  6. W.J. Lee, Y.C. Lee, H.H. Jo and Y.H. Park, "Effect of crucible geometry on melt convection and interface shape during kyropoulos growth of sapphire single crystal", Journal of Crystal Growth 324 (2011) 248. https://doi.org/10.1016/j.jcrysgro.2011.03.032
  7. J.H. Ryu, W.J. Lee, Y.C. Lee, H.H. Jo and Y.H. Park, "CFD analysis for effects of the crucible geometry on melt convection and growth behavior during sapphire single crystal growth by kyropoulos process", Journal of the Korean Crystal Growth and Crystal Technology 22(3) (2012) 115. https://doi.org/10.6111/JKCGCT.2012.22.3.115
  8. D.P. Lukanin, V.V. Kalev, Yu.N. Makarov, T. Wetzel, J. Virbulis and W. von Ammon, "Advances in the simulation of heat transfer and prediction of the melt-crystal interface shape in silicon CZ growth", Journal of Crystal Growth 266 (2004) 20. https://doi.org/10.1016/j.jcrysgro.2004.02.025
  9. Yunus A. Cengel and Michael A. Boles, "Thermodynamics", 7th Ed. (Mc Graw Hill, USA, 2012) pp. 54-101.
  10. Yunus A. Cengel and John M. Cimbara, "Fluid mechanics", 2nd Ed. (Mc Graw Hill, USA, 2012) pp. 856-908.
  11. Osman Turan, Nilanjan Chakraborty and Robert J. Poole, "Laminar Rayleigh-Benard convection of yield stress fluids in a square enclosure", Journal of Non- Newtonian Fluid Mechanics 171 (2012) 83.

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