The effect of curvature on the instability of a solid/liquid interface

Yoshihito Ogasawara; Katsuya Eda; Akihiko Kitada

doi:10.1143/JPSJ.74.2439

The effect of curvature on the instability of a solid/liquid interface

Yoshihito Ogasawara^*, Katsuya Eda, Akihiko Kitada

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

An essential factor causing the instability (stability) of a solid/liquid interface during solidification is explored. By examining the qualitative properties of the classical solution of a nonlinear evolution equation, the bifurcation, the coalescence and the growth rate of the interface are discussed. These discussions lead to the relation between the instability (stability) and the curvature of the interface.

Original language	English
Pages (from-to)	2439-2442
Number of pages	4
Journal	Journal of the Physical Society of Japan
Volume	74
Issue number	9
DOIs	https://doi.org/10.1143/JPSJ.74.2439
Publication status	Published - 2005 Sep

Keywords

Bifurcation
Coalescence
Curvature effect
Dendrite
Heat flow direction
Interface instability
Nonlinear evolution equation
Solidification

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.74.2439

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abstract = "An essential factor causing the instability (stability) of a solid/liquid interface during solidification is explored. By examining the qualitative properties of the classical solution of a nonlinear evolution equation, the bifurcation, the coalescence and the growth rate of the interface are discussed. These discussions lead to the relation between the instability (stability) and the curvature of the interface.",

keywords = "Bifurcation, Coalescence, Curvature effect, Dendrite, Heat flow direction, Interface instability, Nonlinear evolution equation, Solidification",

author = "Yoshihito Ogasawara and Katsuya Eda and Akihiko Kitada",

year = "2005",

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AU - Eda, Katsuya

AU - Kitada, Akihiko

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AB - An essential factor causing the instability (stability) of a solid/liquid interface during solidification is explored. By examining the qualitative properties of the classical solution of a nonlinear evolution equation, the bifurcation, the coalescence and the growth rate of the interface are discussed. These discussions lead to the relation between the instability (stability) and the curvature of the interface.

KW - Bifurcation

KW - Coalescence

KW - Curvature effect

KW - Dendrite

KW - Heat flow direction

KW - Interface instability

KW - Nonlinear evolution equation

KW - Solidification

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JF - Journal of the Physical Society of Japan

SN - 0031-9015

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ER -

The effect of curvature on the instability of a solid/liquid interface

Abstract

Keywords

ASJC Scopus subject areas

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