On long-wave morphological instabilities in directional solidification

A. C. Skeldon, G. B. McFadden, M. D. Impey, D. S. Riley, K. A. Cliffe, A. A. Wheeler, S. H. Davis

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A binary liquid that undergoes directional solidification is susceptible to morphological instabilities which cause the solid/liquid interface to change from a planar to a cellular state. This paper presents a numerical study of a class of long-wave equations that describe the evolution of interface morphology. We find new bifurcation points, new solution branches, and the existence of inverted hexagonal nodes and cells.

Original languageEnglish (US)
Pages (from-to)639-652
Number of pages14
JournalEuropean Journal of Applied Mathematics
Issue number6
StatePublished - Dec 1995
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


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