Pattern formation in crystal growth under parabolic shear flow
Materials Science
2009-11-10 v1
Abstract
Morphological instability of the solid-liquid interface occuring in a crystal growing from an undercooled thin liquid being bounded on one side by a free surface and flowing down inclined plane is investigated by a linear stability analysis under shear flow. It is found that restoring forces due to gravity and surface tension is important factor for stabilization of the solid-liquid interface on long length scales. This is a new stabilizing effect different from the Gibbs-Thomson effect. A particular long wavelength mode of about 1 cm of wavy pattern observed on the surface of icicles covered with thin layer of flowing water is obtained from the dispersion relation including the effect of flow and restoring forces.
Cite
@article{arxiv.cond-mat/0306055,
title = {Pattern formation in crystal growth under parabolic shear flow},
author = {K. Ueno},
journal= {arXiv preprint arXiv:cond-mat/0306055},
year = {2009}
}
Comments
30 pages, 4 figures