Influence of Thermal Conductivity on Interface Shape during Growth of Sapphire Crystal Using a Heat-Exchanger-Method
来源期刊：JOURNAL OF RARE EARTHS2006年增刊第1期
论文作者：Lu Chungwei Chen Jyh Chen
Key words：HEM; sapphire; single crystal growth; thermal conductivity; convexity;
Abstract: The internal radiative contributed on heat transfer will enhance the heat transport inside the crystalline phase during growth the transparent sapphire crystal using a heat-exchanger-method (HEM). The artificially enhanced thermal conductivity of the solid to include the internal radiation effect was used in the present study. Numerical simulations using FIDAP were performed to investigate the effects of the thermal conductivity on the shape of the melt-crystal interface, the temperature distribution, and the velocity distribution. Heat transfer (including radiation) from the furnace to the crucible and heat extraction from the heat exchanger can be modeled by the convection boundary conditions. In the present study, we focus on the influence of the conductivity on the shape of the melt-crystal interface. Therefore, the effect of the others growth parameters during the HEM crystal growth was neglected. For the homogenous conductivity (km=kS=k), the maximum convexity decreases as k increases and the rate of maximum convexity increases for a higher conductivity is less abrupt than for a lower conductivity. For the no homogenous conductivity (km≠kS), the higher solid's kS generates lower maximum convexity and the variation in maximum convexity was less abrupt for the different melt's km. The maximum convexity decreases slightly as the enhance conductivity of the sapphire crystal increases. The effects of the anisotropic conductivity of the sapphire crystal were also addressed. The maximum convexity of the melt-crystal interface decreases when the radial conductivity (ksr) of the crystal increases. The maximum convexity increases as the axial conductivity (ksz) of the crucible increases.
Lu Chungwei1，Chen Jyh Chen2
(1.Department of Information Management, Jen-Teh Junior College, Hou-Lung, Miao-Li County 35664, Taiwan, China;
2.Department of Mechanical Engineering, National Central University, Chung-Li 32054, Taiwan, China)
Abstract:The internal radiative contributed on heat transfer will enhance the heat transport inside the crystalline phase during growth the transparent sapphire crystal using a heat-exchanger-method (HEM). The artificially enhanced thermal conductivity of the solid to include the internal radiation effect was used in the present study. Numerical simulations using FIDAP were performed to investigate the effects of the thermal conductivity on the shape of the melt-crystal interface, the temperature distribution, and the velocity distribution. Heat transfer (including radiation) from the furnace to the crucible and heat extraction from the heat exchanger can be modeled by the convection boundary conditions. In the present study, we focus on the influence of the conductivity on the shape of the melt-crystal interface. Therefore, the effect of the others growth parameters during the HEM crystal growth was neglected. For the homogenous conductivity (km=kS=k), the maximum convexity decreases as k increases and the rate of maximum convexity increases for a higher conductivity is less abrupt than for a lower conductivity. For the no homogenous conductivity (km≠kS), the higher solid''s kS generates lower maximum convexity and the variation in maximum convexity was less abrupt for the different melt''s km. The maximum convexity decreases slightly as the enhance conductivity of the sapphire crystal increases. The effects of the anisotropic conductivity of the sapphire crystal were also addressed. The maximum convexity of the melt-crystal interface decreases when the radial conductivity (ksr) of the crystal increases. The maximum convexity increases as the axial conductivity (ksz) of the crucible increases.
Key words:HEM; sapphire; single crystal growth; thermal conductivity; convexity;
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