Open AccessEffect of anisotropic surface tension on deep cellular crystal growth in directional solidification
Author(s) -
Mingwen Chen,
YiChen Chen,
Wenlong Zhang,
Liu Xiu-Min,
Zidong Wang
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.038101
Subject(s) - anisotropy , surface tension , crystal (programming language) , materials science , curvature , crystal growth , directional solidification , radius , tension (geology) , radius of curvature , optics , condensed matter physics , mean curvature , crystallography , thermodynamics , physics , geometry , chemistry , composite material , microstructure , compression (physics) , mathematics , computer security , mean curvature flow , computer science , programming language
An asymptotic solution of the concentration and interface morphology for a deep cellular crystal in directional solidification is obtained by using the matched asymptotic expansion method and multiple variable expansion method, and the effect of anisotropic surface tension on deep cellular crystal growth is studied. Results show that the anisotropic surface tension has a significant effect on the concentration and interface shape of deep cellular crystal growth in directional solidification. As the anisotropic surface tension parameter increases, the concentration near the front part of deep cellular crystal decays and the interface shrinks; when as the concentration near the root increases and the curvature of the interface near the root increases or the curvature radius decreases; and the amplitude of the deep cellular crystal increases. The concentration and interface shape of the deep cellular crystal in directional solidification can be calculated with the results obtained in this paper.