Thermocapillary flow in a thin annular pool of silicon melt

2002 ◽  
Author(s):  
Yourong Li ◽  
Nobuyuki Imaishi ◽  
Takeshi Azami ◽  
Taketoshi Hibiya
Keyword(s):  
Thermocapillary Flow ◽  
Annular Pool ◽  
Silicon Melt

Thermocapillary-buoyancy flow of silicon melt in a shallow annular pool

2004 ◽  
Vol 39 (12) ◽  
pp. 1055-1062 ◽  
Author(s):  
Y. R. Li ◽  
L. Peng ◽  
S. Y. Wu ◽  
N. Imaishi ◽  
D. L. Zeng
Keyword(s):  
Buoyancy Flow ◽  
Annular Pool ◽  
Silicon Melt

NUMERICAL INVESTIGATION OF SILICON MELT FLOW IN A SHALLOW ANNULAR POOL UNDER AN AXIAL MAGNETIC FIELD

2007 ◽  
Vol 21 (18n19) ◽  
pp. 3486-3488
Author(s):  
YOU-RONG LI ◽  
DONG-MING MO ◽  
LAN PENG ◽  
SHUANG-YING WU
Keyword(s):  
Magnetic Field ◽  
Steady Flow ◽  
Axial Magnetic Field ◽  
Three Dimensional ◽  
Melt Flow ◽  
Radial Temperature ◽  
Annular Pool ◽  
Silicon Melt ◽  
Surface Patterns ◽  
The Magnetic Field

In order to understand the effect of the magnetic field on surface patterns on semi-conducting silicon melt in industrial Czochralski furnaces, we conducted a series of unsteady three-dimensional numerical simulations of silicon melt flow in a shallow annular pool under the axial magnetic field for the magnetic field strength from 0 to 0.1T. The pool is heated from the outer cylindrical wall and cooled at the inner wall. Bottom and top surfaces are adiabatic. When the magnetic field is weak, the simulation can predict various three-dimensional oscillatory flows depending on the radial temperature difference. With the much larger magnetic field, three-dimensional flow becomes axisymmetric steady flow. Details of flow and temperature disturbances are discussed and the critical magnetic field strengths for the onset of axisymmetric steady flow are determined.

Effect of the Prandtl number on the instabilities of the thermocapillary flow in an annular pool

2019 ◽  
Vol 31 (3) ◽  
pp. 034103 ◽  
Author(s):  
Hao Liu ◽  
Zhong Zeng ◽  
Linmao Yin ◽  
Zhouhua Qiu ◽  
Liangqi Zhang
Keyword(s):  
Prandtl Number ◽  
Thermocapillary Flow ◽  
Annular Pool

Bifurcation of thermocapillary convection in a shallow annular pool of silicon melt

2007 ◽  
Vol 23 (1) ◽  
pp. 43-48 ◽  
Author(s):  
Yourong Li ◽  
Lan Peng ◽  
Shuangying Wu ◽  
Nobuyuki Imaishi
Keyword(s):  
Thermocapillary Convection ◽  
Annular Pool ◽  
Silicon Melt

Three-dimensional oscillatory flow in a thin annular pool of silicon melt

2004 ◽  
Vol 260 (1-2) ◽  
pp. 28-42 ◽  
Author(s):  
You-Rong Li ◽  
Nobuyuki Imaishi ◽  
Takeshi Azami ◽  
Taketoshi Hibiya
Keyword(s):  
Oscillatory Flow ◽  
Three Dimensional ◽  
Annular Pool ◽  
Silicon Melt
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