Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Nonlinear Three Dimensional Morphological Instability inDirectional Solidification --- An Integral Approximation
Chi–Chuan HwangJin–Yuan HsiehYong–Yuan LuoMing–Horng Su
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1996 Volume 65 Issue 7 Pages 2112-2121

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Abstract
In this article, we derive a strongly nonlinear evolution equation by usingthe integral method to study the instabilities in a directionallysolidified binary mixture. This equation not only can describe the interfacialbehaviors of all the long-wave limits, but also can provide the possibility ofstrongly nonlinear instability analysis.Three-dimensional weakly nonlinear analysis proceeded from the criticalcondition is undertaken to investigate the two-dimensional bend-like cells andthe three-dimensional hexagonal structures.
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© The Physical Society of Japan 1996
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