scholarly journals Extra Nodes Added on the Solid/Liquid Interface to Solve the Mass Transfer Problem in a Directional Solidification Process

2007 ◽  
Vol 48 (9) ◽  
pp. 2289-2296
Author(s):  
Yau-Chia Liu ◽  
Long-Sun Chao
2013 ◽  
Vol 444-445 ◽  
pp. 1412-1416 ◽  
Author(s):  
Xi Yang ◽  
Ming Li ◽  
Wen Hui Ma ◽  
Guo Qiang Lv ◽  
Tao Luo ◽  
...  

The temperature distribution has important influence on the position and shape of solid-liquid interface during directional solidification process. So the calculation of temperature field is fairly significant for both structural analysis and temperature control. In this paper, the finite element method is applied to establish the 2D axisymmetric model for modeling the temperature distribution and the solid-liquid interface shape of multicrystalline silicon in semi-industrial directional solidification furnace. The numerical results show that the temperature field and solid-liquid interface shape can be controlled by adjusting the pulling rate in directional solidification process, and an optimized pulling rate of this system was obtained for large diameter silicon crystals with low defect density and uniform dopant distribution.


2016 ◽  
Vol 16 (1) ◽  
pp. 124-130 ◽  
Author(s):  
M. Trepczyńska-Łent ◽  
E. Olejnik

Abstract Directional solidification of the Fe - 4,3 wt % C alloy was performed with the pulling rate equal to v=83 μm/s. Sample was frozen during solidification to reveal the shape of the solid/liquid interface. Structures eutectic pyramid and spherolitic eutectic were observed. The solidification front of ledeburite eutectic was revealed. The leading phase was identified and defined.


1984 ◽  
Vol 34 ◽  
Author(s):  
Zhu Peiyue ◽  
Sha Rozeng ◽  
Li Yanxiang

ABSTRACTThe effect of twin/tilt initiated in the process of graphite growth making the graphite curling and change from flake to vermicular and spheroidal is discussed. With the developing of the solidification process,the modifying elements enrich in the front of solid-liquid interface, the amount of twin defects in the graphite increases,its tilt fashion changes and the graphite formed varies from flake to vermicular and spheroidal. The modifying elements promote the formation of twin/tilt. When the modifying elements are insufficient for spheroidizing,the tilt orientation of twins is changeable,and the graphite formed is twisted. When the modifying elements are sufficient enough, the tilt orientation of twins becomes singular, and the graphite formed tends to be round. According to the energy and kinetics consideration of the formation of twin/tilt boundary, it is predicted that the twin plane would firstly adopt (10Tm), especially the (10T2) plane. This result coincides well with the experimental observations. It is proposed that the formation of SG can be divided into two steps: growth of graphite nucleus into spherulite by twin/tilt mechanism and brancing on it in a spiral mode.


2012 ◽  
Vol 110 (2) ◽  
pp. 443-451 ◽  
Author(s):  
Dongmei Liu ◽  
Xinzhong Li ◽  
Yanqing Su ◽  
Jingjie Guo ◽  
Liangshun Luo ◽  
...  

2005 ◽  
Vol 16 (1-4) ◽  
pp. 107-110
Author(s):  
A. P. Shpak ◽  
O. P. Fedorov ◽  
E. L. Zhivolub ◽  
Y. J. Bersudskyy ◽  
O. V. Shuleshova

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
J. B. Allen

In this work, we develop one- and two-dimensional phase-field simulations to approximate dendritic growth of a binary Al–2 wt% Si alloy. Simulations are performed for both isothermal as well as directional solidification. Anisotropic interface energies are included with fourfold symmetries, and the dilute alloy assumption is imposed. The isothermal results confirm the decrease in the maximum concentration for larger interface velocities as well as reveal the presence of parabolic, dendrite tips evolving along directions of maximum interface energy. The directional solidification results further confirm the formation of distinctive secondary dendritic arm structures that evolve at regular intervals along the unstable solid/liquid interface.


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