Spacing in solidification of dendritic arrays

    Research output: Contribution to journalArticleScientificpeer-review

    19 Citations (Scopus)

    Abstract

    A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.

    Original languageEnglish
    Pages (from-to)772 - 778
    Number of pages7
    JournalJournal of Crystal Growth
    Volume208
    Issue number1-4
    DOIs
    Publication statusPublished - 2000
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    solidification
    Solidification
    spacing
    Dendrites (metallography)
    Hysteresis
    dendrites
    heat balance
    radii
    solutes
    hysteresis
    Hot Temperature
    histories
    interactions

    Cite this

    @article{85f698edfabb4cd78377b45d194c8fe3,
    title = "Spacing in solidification of dendritic arrays",
    abstract = "A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.",
    author = "Lasse Makkonen",
    note = "Project code: R7SU00488",
    year = "2000",
    doi = "10.1016/S0022-0248(99)00471-6",
    language = "English",
    volume = "208",
    pages = "772 -- 778",
    journal = "Journal of Crystal Growth",
    issn = "0022-0248",
    publisher = "Elsevier",
    number = "1-4",

    }

    Spacing in solidification of dendritic arrays. / Makkonen, Lasse.

    In: Journal of Crystal Growth, Vol. 208, No. 1-4, 2000, p. 772 - 778.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Spacing in solidification of dendritic arrays

    AU - Makkonen, Lasse

    N1 - Project code: R7SU00488

    PY - 2000

    Y1 - 2000

    N2 - A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.

    AB - A number of models of the primary dendrite spacing selection in directional solidification have been proposed based on considerations of the solutal diffusion problem. It is shown here that the primary spacing in dendritic solidification is fundamentally determined by the heat balance. Diffusion of solute affects the spacing only indirectly via selection of the tip radius. A simple solution for the spacing is derived. This analysis does not support the recent idea that the dendrite tip radius is selected by array interactions and indicates that the experimentally observed history dependence and range of spacings are due to the thermal hysteresis of the system, rather than to a range of physically allowable stable states.

    U2 - 10.1016/S0022-0248(99)00471-6

    DO - 10.1016/S0022-0248(99)00471-6

    M3 - Article

    VL - 208

    SP - 772

    EP - 778

    JO - Journal of Crystal Growth

    JF - Journal of Crystal Growth

    SN - 0022-0248

    IS - 1-4

    ER -