Paper
25 October 2002 Thermocapillary flow in a thin annular pool of silicon melt
Yourong Li, Nobuyuki Imaishi, Takeshi Azami, Taketoshi Hibiya
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Abstract
In order to understand the nature of surface patterns on silicon melt in industrial Czochralski furnaces, we conducted a series of unsteady three-dimensional numerical simulations of thermocapillary flow in thin silicon melt pools in annular containers under microgravity. The pool is heated from the outer cylindrical wall and cooled at the inner wall. Bottom and top surfaces either are adiabatic or allow heat transfer in the vertical direction. With large temperature difference in the radial direction, the simulation can predict two types of oscillatory convections. One is characterized by spoke patterns traveling in the azimuthal direction. The other one is characterized by radially extended roll cells periodically alternating the azimuthal flow directions but are stationary. The small vertical heat flux (3W/cm2) does not have significant effects on the characteristics of those oscillatory flows. Details of the flow and temperature disturbances are discussed and the critical conditions for the incipience of the oscillatory flow are determined.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yourong Li, Nobuyuki Imaishi, Takeshi Azami, and Taketoshi Hibiya "Thermocapillary flow in a thin annular pool of silicon melt", Proc. SPIE 4813, Crystal Materials for Nonlinear Optical Devices and Microgravity Science, (25 October 2002); https://doi.org/10.1117/12.450139
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KEYWORDS
Silicon

Convection

Liquids

Numerical simulations

Heat flux

Wave propagation

Modulation

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