TY - JOUR
T1 - Development of a global model of heat transfer in the czochralski furnace taking into account specular reflection at the crystal surface
AU - Abe, Keita
AU - Nagato, Yuta
AU - Sugioka, Kenichi
AU - Kubo, Masaki
AU - Tsukada, Takao
AU - Maruyama, Shigenao
PY - 2015/6/15
Y1 - 2015/6/15
N2 - In this study, a global model of heat transfer for the Czochralski crystal growth of oxides is developed by integrating the conventional model and the improved radiation element method by the ray emission model (REM2) in which radiative heat transfer in semitransparent crystals with a specular surface, that is, reflection and refraction at the crystal surface, is considered. The validity of the present model is verified by comparing it with the conventional model. Then, the effects of the optical thickness and the refractive index of the crystal on the temperature distribution in the furnace and on the melt/crystal interface shape are numerically investigated.
AB - In this study, a global model of heat transfer for the Czochralski crystal growth of oxides is developed by integrating the conventional model and the improved radiation element method by the ray emission model (REM2) in which radiative heat transfer in semitransparent crystals with a specular surface, that is, reflection and refraction at the crystal surface, is considered. The validity of the present model is verified by comparing it with the conventional model. Then, the effects of the optical thickness and the refractive index of the crystal on the temperature distribution in the furnace and on the melt/crystal interface shape are numerically investigated.
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U2 - 10.1080/10407782.2014.965090
DO - 10.1080/10407782.2014.965090
M3 - Article
AN - SCOPUS:84923805859
VL - 67
SP - 1311
EP - 1323
JO - Numerical Heat Transfer; Part A: Applications
JF - Numerical Heat Transfer; Part A: Applications
SN - 1040-7782
IS - 12
ER -