[1] 陳俊宏 ,"泡生法長氧化鋁單晶之數值模擬分析", 國立中央大學機械工程研究所, 博士論文, 2012.[2] 陳旻聰,"CZ法生長大尺寸藍寶石單晶之熱流場與雜質數值模擬研究", 國立中央大學機械工程研究所, 碩士論文, 2014.[3] 呂中偉,"以熱交換器法生長氧化鋁單晶之模擬分析", 國立中央大學機械工程研究所, 博士論文, 2002.[4] 劉國雄, 林樹均, 李勝隆, 鄭晃忠, 葉均為, 工程材料科學, P44, ISBN 957-21-0830-1, 1996.
[5] M. S. Akselrod and F. J. Bruni, "Modern trends in crystal growth and new applications of sapphire, " Journal of Crystal Growth, vol. 360, pp. 134-145, 2012.
[6] D. viechnicki, "Crystal growth using the heat exchanger method" Journal of Crystal Growth", vol. 26, pp.162-164, 1974.
[7] H.J. Scheel, T. Fukuda, "The Development of Crystal Growth Technology ", Crystal Growth Technology, pp. 3-14, 2003.
[8] R. Falckenberg, "Growth of stoichiometric Mg-Al spinel single crystals by a modified verneuil technique", Journal of Crystal Growth, vol. 13, pp. 723-725, 1972.
[9] G. Foulon, "Laser heated pedestal growth and optical properties of Yb3+-doped LiNbO3 single crystal fibers", Journal of Crystal Growth, vol. 245, pp. 555-560, 2000
[10] Yusuke Mori, "Growth of a nonlinear optical crystal: cesium lithium borate", Journal of Crystal Growth, vol. 156, pp. 307-309, 1995.
[11] Wei Jia Zhang, "Crystal growth of NaNb3O8 solid solution by Kyropoulos method", Journal of Crystal Growth, vol. 100, pp. 655-657, 2002.
[12] Vladimir V. Timofeev, Vladimir V. Kalaev, and Vadim G. Ivanov, "Effect of heating conditions on flow patterns during the seeding stage of Kyropoulos sapphire crystal growth", Journal of Crystal Growth, vol. 445, pp. 47-52, 2016.
[13] 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", Journal of Crystal Growth, vol. 30, pp. 62-65, 2007.
[14] Weina Liu, Jijun Lu, Hongjian Chen, Wenbo Yan, Chunhua Min, Qingqing Lian, Yunman Wang, Peng Cheng, Caichi Liu, and Yongliang Xu, "Study on crystal-melt interface shape of sapphire crytal growth by KY method", Journal of Crystal Growth, vol. 431, pp. 15-23, 2015.
[15] 李宏凱, "利用Kyropoulos方法生長藍寶石單晶之研究", 中華技術學院, 碩士論文, 2006.[16] 侯帝光, "志誠參數對藍寶石長單晶品質之研究", 中華技術學院, 碩士論文, 2009.
[17] Chun-Hung Chen, Jyh-Chen Chen, Chung-Wei Lu, Che-Ming Liu, "Numerical simulation of heat and fluid flows for sapphire single crystal growth by the Kyro poulos method", Journal of Crystal Growth, vol. 318, pp. 162-167, 2011.
[18] Chun-Hung Chen, Jyh-Chen Chen, Chung-Wei Lu, "Effect of power arrangement on the crystal shape during the Kyropoulos sapphire crystal growth process", Journal of Crystal Growth, vol. 352, pp. 9-15, 2012.
[19] Chun-Hung Chen, Jyh-Chen Chen, Yi-Shiuan Chiue, Ching-Hsin Chang, "Thermal and stress distributions in larger sapphire crystals during the cooling process in a Kyropoulos furnace", Journal of Crystal Growth, vol. 385, pp. 55-60, 2014.
[20] N. Miyazaki, "Quantitative assessment for cracking in oxide bulk single crystals during Czochralski growth: development of a computer program for thermal stress analysis" Journal of Crystal Growth, vol. 162, pp. 83-88, 1996.
[21] S.E. Demina, "3D unsteady computer modeling of industrial scale Ky and Cz sapphire crystal growth" Journal of Crystal Growth, vol. 320, pp. 23-27, 2011.
[22] Masaki Kobayashi, "Effect of internal radiation on thermal stress fields in 55 CZ oxide crystals" Journal of Crystal Growth, vol.241, pp. 241-248, 2002.
[23] D. Vizman, I. Nicoara, and G. Müller, "Effects of temperature asymmetry and tilting in the vertical Bridgman growth of semi-transparent crystals", Journal of Crystal Growth, vol. 212, pp. 334-339, 2000.
[24] Tran Phu Nguyen, Yao-Te Hsieh, Jyh-Chen Chen, Chieh Hu, Huy Bich Nguyen, "Effect of crucible and crystal rotations on the convexity and thermal stress in large size sapphire crystals during Czochralski growth", Journal of Crystal Growth, vol. 468, pp. 514-525, 2017.
[25] Jyh-Chen Chen, Chung-Wei Lu, "Influence of the crucible geometry on the shape of the melt-crystal interface during growth of sapphire crystal using a heat exchanger method", Journal of Crystal Growth, vol. 266, pp. 239-245, 2004.
[26] W.J. Lee, Y.C. Lee, H.H. Jo, Y.H. Park, "Effect of crucible geometry on melt convection and interface shape during Kyropoulos growth of sapphire single crystal", Journal of Crystal Growth, vol. 324, pp. 248-254, 2011.
[27] M.F. Modest, "Radiative Heat Transfer", Academic Press, Amsterdam, Boston, P257, 2003.
[28] 闕宜萱, "泡生法生長大尺寸氧化鋁單晶降溫過程中晶體熱場及熱應力分析", 國立中央大學機械工程研究所, 碩士論文, 2012.[29] Brewster, MQ, "Thermal Radiative Transfer and Properties", P502-510, John Wiley& Sons, New York. 1992.
[30] 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, "Use ofnumerical simulation for growthing high-quality sapphire crystal by the Kyropoulos methode", Journal of Crystal Growth. vol. 310, pp. 1443-1447, 2008.
[31] M. H. Tavakkoli and H. Wilke, "Numerical study of induction heating and heat transfer in a real Czochralski system," Journal of Crystal Growth, vol. 275, pp. e85-e89, 2005.
[32] P. D. Thomas, J. J. Derby, L. J. Atherton, R. A. Brown, and M. J. Wargo, "Dynamics of liquid-encapsulated czochralski growth of gallium arsenide: Comparing model with experiment," Journal of Crystal Growth, vol. 96, pp. 135-152, 1989.
[33] B. R. Seo., "A Numerical Study of buoyant turbulent flows using Low-Reynolds number k- ɛ model " 2001.
[34] P. Jagadeesh and K. Murali, "Application of low-Re turbulence models for flow simulations past underwater vehicle hull forms," Journal of Naval Architecture and Marine Engineering, vol. 2, p. 14, 2009.
[35] D. C. Harris, "Materials for Infrared Windows and Domes: Properties and Performance", SPIE Press, 1999.
[36] Michael F. Modest, "Radiative heat transfer", McGraw-Hill, Inc., 1993.
[37] Ying-Yang Teng, Jyh-Chen Chen, Cheng-Chuan Huang, Chung-Wei Lu, "Numerical investigation of the effect of heat shield shape on the oxygen impurity distribution at the crystal-melt interface during the process of Czchralski silicon crystal growth", Journal of Crystal Growth, vol. 352, pp. 167-172, 2012.
[38] 謝耀德, "CZ法生長大尺寸氧化鋁單經過程之數值模擬研究", 國立中央大學機械工程研究所, 碩士論文, 2015.[39] Wenjia Su, Ran Zuo, Kirill Mazaev, Vladimir Kalaev, "Optimization of crystal growth by changes of flow guide, radiation shield and sidewall insulation in CZ Si furnace", Journal of Crystal Growth, vol. 312, pp. 495-510, 2010.
[40] T. Vodenitcharova, L.C. Zhang, I. Zarudi, Y. Yin, H. Domyo, T. Ho, M. Sato, "The effect of anisotopy on the deformation and fracture of sapphire wafers subjected to thermal shocks", Journal of Materials Processing Techology, vol. 194, pp. 51-62, 2007.