PMID: 15244826Jul 13, 2004Paper

Pattern formation in crystal growth under parabolic shear flow. II

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
K Ueno

Abstract

Wavy pattern of ice with a specific wavelength occurs during ice growth from a thin layer of undercooled water flowing down the surface of icicles or inclined plane. In a previous paper [Phys. Rev. E 68, 021603 (2003)]], we have found that restoring forces due to gravity and surface tension is a factor for stabilization of morphological instability of the solid-liquid interface. However, the mechanism for the morphological instability and stability of the solid-liquid interface has not been well understood. In the present paper, it is shown that a phase difference between fluctuation of the solid-liquid interface and distribution of heat flux at the deformed solid-liquid interface, which depends on the magnitude of the restoring forces, is a cause of the instability and stability of the interface. This mechanism is completely different from the usual Mullins-Sekerka instability due to diffusion and stabilization due to the Gibbs-Thomson effect.

References

Mar 5, 2002·Nature·Scott Butler, Peter Harrowell
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naohisa Ogawa, Yoshinori Furukawa
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K Ueno

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Citations

Apr 8, 2015·Proceedings. Mathematical, Physical, and Engineering Sciences·R VesipaL Ridolfi
Feb 9, 2005·Physical Review Letters·Martin B ShortRaymond E Goldstein
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antony Szu-Han Chen, Stephen W Morris
Nov 16, 2005·Langmuir : the ACS Journal of Surfaces and Colloids·David A StoneRaymond E Goldstein

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