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The Planar to Cellular Transition and the Long Time Scale Dynamics of Pattern Formation During Thin-Film Directional Solidification

Published online by Cambridge University Press:  26 February 2011

John T.C. Lee
Affiliation:
Massachusetts Institute of Technology, Department of Chemical Engineering, Cambridge, MA 02139
Robert A. Brown
Affiliation:
Massachusetts Institute of Technology, Department of Chemical Engineering, Cambridge, MA 02139
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Abstract

Experimental observations of the melt/crystal interface in the directional solidification of a thin sample of a binary alloy are reported for conditions only slightly beyond those for the onset of morphological instability. Spectral analysis for long times shows dynamics leading to a band of most probable wavelengths with sharply selected peaks at wavelengths significantly below the most dangerous wavelength predicted by linear stability theory. These large-amplitude cells develop first in packets that spread to fill the interface.

Type
Research Article
Copyright
Copyright © Materials Research Society 1992

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