Incorporation of surface tension to interface energy balance in crystal growth

2007 ◽  
Vol 42 (9) ◽  
pp. 914-919 ◽  
Author(s):  
M. Yildiz ◽  
S. Dost
Keyword(s):  
Surface Tension ◽  
Crystal Growth ◽  
Energy Balance ◽  
Interface Energy

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.

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