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Crystals 2017, 7(1), 18; doi:10.3390/cryst7010018

Role of Internal Radiation in Oxide Crystal Growth by Heat Exchanger Method

Key Laboratory of Thermo-Fluid Science and Engineering, Ministry of Education, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, China
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Academic Editor: Bing Gao
Received: 18 October 2016 / Revised: 21 December 2016 / Accepted: 5 January 2017 / Published: 9 January 2017
(This article belongs to the Special Issue Global Modeling in Crystal Growth)
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Abstract

Internal radiation was investigated using the finite volume method for the heat exchanger method (HEM) growth of oxide crystals. Special attention was devoted to the temperature and thermal stress distributions in the bottom region of the grown crystal at the end of the solidification process. The numerical results show that internal radiation strongly strengthens heat transport through the crystal. However, it causes isotherms to intensively concentrate in the crystal bottom region, leading to a significant increase in the temperature gradient and thermal stress in this region. Then, the effect of absorption coefficient on this phenomenon was numerically investigated. It was found that the radiation heat transfer rate at the bottom surface of the crystal monotonically decreases as the absorption coefficient is increased, while the conduction heat transfer rate first increases and then decreases as the absorption coefficient is increased, under the interaction between internal radiation and heat conduction. The variations of the maximum temperature gradient and thermal stress in the crystal bottom show the same tendency as the conduction heat transfer rate. This study indicates that the role of internal radiation on the heat transfer and thermal stress in oxide crystal by HEM process shows some differences from that by Czochralski and Kyropoulos processes. View Full-Text
Keywords: numerical simulation; internal radiation; oxide crystal; heat exchanger method; thermal stress numerical simulation; internal radiation; oxide crystal; heat exchanger method; thermal stress
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ma, W.; Liu, L. Role of Internal Radiation in Oxide Crystal Growth by Heat Exchanger Method. Crystals 2017, 7, 18.

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