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

Yoshihito Ogasawara, Katsuya Eda, Akihiko Kitada

    Research output: Contribution to journal › Article

    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 languageEnglish
    Pages (from-to)2439-2442
    Number of pages4
    JournalJournal of the Physical Society of Japan
    Volume74
    Issue number9
    DOIs
    Publication statusPublished - 2005 Sep

    Fingerprint

    liquid-solid interfaces
    curvature
    nonlinear evolution equations
    coalescing
    solidification

    Keywords

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

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    The effect of curvature on the instability of a solid/liquid interface. / Ogasawara, Yoshihito; Eda, Katsuya; Kitada, Akihiko.

    In: Journal of the Physical Society of Japan, Vol. 74, No. 9, 09.2005, p. 2439-2442.

    Research output: Contribution to journal › Article

    Ogasawara, Y, Eda, K & Kitada, A 2005, 'The effect of curvature on the instability of a solid/liquid interface', Journal of the Physical Society of Japan, vol. 74, no. 9, pp. 2439-2442. https://doi.org/10.1143/JPSJ.74.2439
    Ogasawara Y, Eda K, Kitada A. The effect of curvature on the instability of a solid/liquid interface. Journal of the Physical Society of Japan. 2005 Sep;74(9):2439-2442. https://doi.org/10.1143/JPSJ.74.2439
    Ogasawara, Yoshihito ; Eda, Katsuya ; Kitada, Akihiko. / The effect of curvature on the instability of a solid/liquid interface. In: Journal of the Physical Society of Japan. 2005 ; Vol. 74, No. 9. pp. 2439-2442.
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