This study investigates the characteristic behavior of disturbances on the interface of a needle crystal, Ivantsove parabola, based on an asymptotic analysis as well as a numerical study.
Focusing on tip growth and width behavior, we examine anisotropy in surface energy, initial strength of the disturbances.
It is found that a tip grows as ftip = exp (Ct) close to the tip region and ftip = exp(Ct1/2) at far field and wave-length, λ o, does not show large variation to different initial conditions so that the width of a disturbance behaves asΔy ~ y 1/2λo.
This constant wave-length, λo, suggests that the possibility of the existence of an attractor in λo. An evolution of finger competition between two disturbances with different initial strengths is investigated to understand the selection mechanism.
|School:||The Ohio State University|
|Department:||Aeronautical and Astronautical Engineering|
|School Location:||United States -- Ohio|
|Source:||DAI-B 79/09(E), Dissertation Abstracts International|
|Keywords:||Anisotropy, Crystal growth, Dendrite, Finger competition, Side branch, Surface tension|
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