Development of a global model of heat transfer in the czochralski furnace taking into account specular reflection at the crystal surface

Keita Abe; Yuta Nagato; Kenichi Sugioka; Masaki Kubo; Takao Tsukada; Shigenao Maruyama

doi:10.1080/10407782.2014.965090

Development of a global model of heat transfer in the czochralski furnace taking into account specular reflection at the crystal surface

Keita Abe, Yuta Nagato, Kenichi Sugioka, Masaki Kubo, Takao Tsukada, Shigenao Maruyama

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1311-1323
Number of pages	13
Journal	Numerical Heat Transfer; Part A: Applications
Volume	67
Issue number	12
DOIs	https://doi.org/10.1080/10407782.2014.965090
Publication status	Published - 2015 Jun 15

ASJC Scopus subject areas

Numerical Analysis
Condensed Matter Physics

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10.1080/10407782.2014.965090

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Development of a global model of heat transfer in the czochralski furnace taking into account specular reflection at the crystal surface. / Abe, Keita; Nagato, Yuta; Sugioka, Kenichi; Kubo, Masaki ; Tsukada, Takao; Maruyama, Shigenao.

In: Numerical Heat Transfer; Part A: Applications, Vol. 67, No. 12, 15.06.2015, p. 1311-1323.

Research output: Contribution to journal › Article › peer-review

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AU - Tsukada, Takao

AU - Maruyama, Shigenao

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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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Development of a global model of heat transfer in the czochralski furnace taking into account specular reflection at the crystal surface

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