Radiation Heat Transfer Analysis in a Semitransparent Single Crystal with Specular Surfaces: Application of REM²

Keita Abe Department of Chemical Engineering, Tohoku University, Sendai, Japan

Ken-ichi Sugioka Department of Chemical Engineering, Tohoku University, Sendai, Japan

Masaki Kubo Department of Chemical Engineering, Tohoku University, Sendai, Japan

Takao Tsukada Department of Chemical Engineering, Tohoku University, Sendai, JapanCorrespondence[email protected]

Shigenao Maruyama Institute of Fluid Science, Tohoku University, Sendai, Japan

Abstract

In this work, to numerically analyze radiation heat transfer in the Czochralski (CZ) single crystal growth of oxide, the radiation element method by ray emission model (REM²) was considered for application. Here, REM² was improved so that the radiation heat transfer through a transparent specular interface between media with arbitrary three-dimensional configurations and different refractive indices can be analyzed. The improved method was verified of its validity by comparing its results with the numerical results of previous works. Then, the effects of the optical thickness and refractive index of oxide crystals on the temperature distributions in the crystals were numerically investigated, considering a simplified model of the CZ furnace.

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Radiation Heat Transfer Analysis in a Semitransparent Single Crystal with Specular Surfaces: Application of REM²

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Radiation Heat Transfer Analysis in a Semitransparent Single Crystal with Specular Surfaces: Application of REM2

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Radiation Heat Transfer Analysis in a Semitransparent Single Crystal with Specular Surfaces: Application of REM²