Three-Dimensional Simulation of Silicon Melt Flow in Electromagnetic Czochralski Crystal Growth

2000 ◽  
Vol 39 (Part 1, No. 2A) ◽  
pp. 372-377 ◽  
Author(s):  
Wei Wang ◽  
Masahito Watanabe ◽  
Taketoshi Hibiya ◽  
Takahiko Tanahashi
Keyword(s):  
Crystal Growth ◽  
Three Dimensional ◽  
Melt Flow ◽  
Czochralski Crystal Growth ◽  
Silicon Melt ◽  
Dimensional Simulation

Density anomaly effect upon silicon melt flow during Czochralski crystal growth II. Time-topical flow structure under the growth interface

1996 ◽  
Vol 160 (1-2) ◽  
pp. 49-54 ◽  
Author(s):  
Shinji Togawa ◽  
Sang-Ik Chung ◽  
Soroku Kawanishi ◽  
Koji Izunome ◽  
Kazutaka Terashima ◽  
...  
Keyword(s):  
Crystal Growth ◽  
Flow Structure ◽  
Melt Flow ◽  
Growth Interface ◽  
Czochralski Crystal Growth ◽  
Density Anomaly ◽  
Silicon Melt

Density anomaly effect upon silicon melt flow during Czochralski crystal growth I. Under the growth interface

1996 ◽  
Vol 160 (1-2) ◽  
pp. 41-48 ◽  
Author(s):  
Shinji Togawa ◽  
Sang-Ik Chung ◽  
Soroku Kawanishi ◽  
Koji Izunome ◽  
Kazutaka Terashima ◽  
...  
Keyword(s):  
Crystal Growth ◽  
Melt Flow ◽  
Growth Interface ◽  
Czochralski Crystal Growth ◽  
Density Anomaly ◽  
Silicon Melt

Three-dimensional study of the pressure field and advantages of hemispherical crucible in silicon Czochralski crystal growth

2010 ◽  
Vol 45 (6) ◽  
pp. 573-582 ◽  
Author(s):  
F. Mokhtari ◽  
A. Bouabdallah ◽  
A. Merah ◽  
M. Zizi ◽  
S. Hanchi ◽  
...  
Keyword(s):  
Crystal Growth ◽  
Pressure Field ◽  
Three Dimensional ◽  
Czochralski Crystal Growth

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.

Three-dimensional simulation of ice growth in the presence of antifreeze proteins

2003 ◽  
Vol 81 (1-2) ◽  
pp. 39-45 ◽  
Author(s):  
B Wathen ◽  
M J Kuiper ◽  
V K Walker ◽  
Z Jia
Keyword(s):  
Crystal Growth ◽  
Growth Inhibition ◽  
Antifreeze Proteins ◽  
Three Dimensional ◽  
Computational Method ◽  
Inhibition Mechanism ◽  
Ice Crystal ◽  
Ice Growth ◽  
Ice Binding ◽  
Dimensional Simulation

A Monte Carlo computational method for simulating the growth of entire ice crystals from the liquid phase has been developed specifically to study the inhibition of ice-crystal growth by antifreeze proteins (AFPs). AFPs are found in the fluids of certain organisms that inhabit freezing environments and constrain ice-crystal growth by adsorbtion to the ice surface, but their inhibition mechanism is still poorly understood. Thus, it was of interest to incorporate these molecules into the dynamic ice simulations to examine the inhibition phenomenon on a whole-crystal basis. We have undertaken simulations with AFPs from two different organisms that differ in activity; the insect AFP has up to 100 times the activity of the fish AFP on a molar basis. Simulations involving insect and fish AFPs have achieved ice-growth inhibition at simulation temperatures within reported activity ranges for both fish and insect AFPs, accompanied by resulting ice morphologies similar to those observed experimentally. These results, as well as other studies on ice-etching patterns and ice burst growth at temperatures below known AFP ice-growth inhibition abilities suggest that AFP activity is dominated by the AFP ice-binding position rather than AFP ice-binding strength. PACS No.: 07.05T

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