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REVIEW ARTICLES: Solidification

Oscillatory Instabilities in Cellular Solidification

[+] Author and Article Information
K. Brattkus

Department of Applied Mathematics, Caltech, Pasadena, CA 91125

Appl. Mech. Rev 43(5S), S56-S58 (May 01, 1990) doi:10.1115/1.3120851 History: Online April 30, 2009

Abstract

We adapt the recent derivation of a long-wave evolution equation for a solid-liquid interface undergoing directional solidification near the limit of absolute stability to the case of a symmetric model that includes solid diffusion. The stability of steady and spatially periodic solutions are investigated and it is found that these cellular solutions are subject to an oscillatory instability with twice the wavenumber of the underlying pattern. We discuss this instability in the context of experiments on the directional solidification of nematic liquid crystals.

Copyright © 1990 by American Society of Mechanical Engineers
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