scholarly journals Effect of anisotropic surface tension on deep cellular crystal growth in directional solidification

2014 ◽  
Vol 63 (3) ◽  
pp. 038101
Author(s):  
Chen Ming-Wen ◽  
Chen Yi-Chen ◽  
Zhang Wen-Long ◽  
Liu Xiu-Min ◽  
Wang Zi-Dong
Keyword(s):  
Surface Tension ◽  
Crystal Growth ◽  
Directional Solidification ◽  
Anisotropic Surface

EFFECT OF ANISOTROPIC SURFACE TENSION ON THE MORPHOLOGICAL STABILITY OF DEEP CELLULAR CRYSTAL GROWTH IN DIRECTIONAL SOLIDIFICATION

2019 ◽  
Vol 26 (06) ◽  
pp. 1850210
Author(s):  
HAN JIANG ◽  
MING-WEN CHEN ◽  
ZI-DONG WANG
Keyword(s):  
Surface Tension ◽  
Crystal Growth ◽  
Directional Solidification ◽  
Low Frequency ◽  
Expansion Method ◽  
Frequency Instability ◽  
Morphological Stability ◽  
Global Instability ◽  
Anisotropic Surface ◽  
Low Frequency Instability

This paper studies the effect of anisotropic surface tension on the morphological stability of deep cellular crystal in directional solidification by using the matched asymptotic expansion method and multiple variable expansion method. We find that the morphological stability of deep cellular crystal growth with anisotropic surface tension shows the same mechanism as that with isotropic surface tension. The deep cellular crystal growth contains two types of global instability mechanisms: the global oscillatory instability, whose neutral modes yield strong oscillatory dendritic structures, and the low-frequency instability, whose neutral modes yield weakly oscillatory cellular structures. Anisotropic surface tension has the significant effect on the two global instability mechanisms. As the anisotropic surface tension increases, the unstable domain of global oscillatory instability decreases, whereas the unstable domain of the global low-frequency instability increases.

The effect of anisotropic surface tension on the morphological stability of planar interface during directional solidification

2009 ◽  
Vol 18 (4) ◽  
pp. 1691-1699 ◽  
Author(s):  
Chen Ming-Wen ◽  
Lan Man ◽  
Yuan Lin ◽  
Wang Yu-Yan ◽  
Wang Zi-Dong ◽  
...  
Keyword(s):  
Surface Tension ◽  
Directional Solidification ◽  
Planar Interface ◽  
Morphological Stability ◽  
Anisotropic Surface

Effect of anisotropy on deep cellular crystal growth in directional solidification

2016 ◽  
Vol 30 (17) ◽  
pp. 1650205 ◽  
Author(s):  
Han Jiang ◽  
Ming-Wen Chen ◽  
Guo-Dong Shi ◽  
Tao Wang ◽  
Zi-Dong Wang
Keyword(s):  
Crystal Growth ◽  
Directional Solidification ◽  
Expansion Method ◽  
Matched Asymptotic Expansion ◽  
Curvature Radius ◽  
Root Depth ◽  
Anisotropic Surface ◽  
Interface Kinetics ◽  
Multiple Variable ◽  
Asymptotic Expansion Method

The effect of anisotropic surface tension and anisotropic interface kinetics on deep cellular crystal growth is studied. An asymptotic solution of deep cellular crystal growth in directional solidification is obtained by using the matched asymptotic expansion method and the multiple variable expansion method. The results show that as the anisotropic parameters increase, the total length of deep cellular crystal increases and the root depth increases, whereas the curvature of the interface near the root increases or the curvature radius decreases.

THE EFFECT OF ANISOTROPIC SURFACE TENSION ON THE LAMELLAR EUTECTIC GROWTH IN DIRECTIONAL SOLIDIFICATION

2019 ◽  
Vol 26 (07) ◽  
pp. 1850216
Author(s):  
XIAOHUA XU ◽  
MINGWEN CHEN
Keyword(s):  
Surface Tension ◽  
Directional Solidification ◽  
Triple Point ◽  
Eutectic Growth ◽  
Solute Diffusion ◽  
Interface Temperature ◽  
Lamellar Eutectic ◽  
Anisotropic Effect ◽  
Anisotropic Surface ◽  
Effect Of Surface

For the case of small interlamellar spacing relative to the solute diffusion length, the steady spatially periodic lamellar eutectic growth with the anisotropic effect of surface tension in directional solidification is studied by the approach of the interfacial wave (IFW) theory. The anisotropic surface tension is expressed as the fourfold symmetric function. We obtained a family of the uniformly valid asymptotic solutions for the steady lamellar eutectic growth and determined the corresponding interfacial patterns affected by anisotropic surface tension. The analytical solution reveals the anisotropic effect of surface tension on the interface shape of lamellar eutectic growth near the triple point. The temperature distribution at the interface shows a noticeable nonuniformity and there is a thin boundary layer for temperature and concentration near the triple point. As the anisotropic surface tension increases, the interface temperature away from the triple-point increases, whereas near the triple point the interface temperature decreases. Compared with the lamellar eutectic growth with isotropic surface tension, the anisotropic surface tension changes the position of the triple point and accelerates the growth of the lamellar eutectic. The theoretical prediction shows quantitatively consistent with recent experimental data without making any artificial adjustments to parameters.

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