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

doi:10.1017/S0956792500002114

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

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	639-652
Number of pages	14
Journal	European Journal of Applied Mathematics
Volume	6
Issue number	6
DOIs	https://doi.org/10.1017/S0956792500002114
State	Published - Dec 1995

ASJC Scopus subject areas

Applied Mathematics

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title = "On long-wave morphological instabilities in directional solidification",

abstract = "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.",

author = "Skeldon, {A. C.} and McFadden, {G. B.} and Impey, {M. D.} and Riley, {D. S.} and Cliffe, {K. A.} and Wheeler, {A. A.} and Davis, {S. H.}",

year = "1995",

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doi = "10.1017/S0956792500002114",

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AU - Skeldon, A. C.

AU - McFadden, G. B.

AU - Impey, M. D.

AU - Riley, D. S.

AU - Cliffe, K. A.

AU - Wheeler, A. A.

AU - Davis, S. H.

PY - 1995/12

Y1 - 1995/12

N2 - 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.

AB - 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.

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JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

SN - 0956-7925

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ER -

On long-wave morphological instabilities in directional solidification

Abstract

ASJC Scopus subject areas

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