A Stefan problem in a Bridgman crystal grower

P. Decker, den, R. Hout, van der, C.J. Duijn, van, L.A. Peletier

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    We discuss a one-dimensional model for a Bridgman crystal grower, where the removal of heat is described by an internal heat sink. A consequence is the apparent existence of mushy regions for relatively large velocities of the cooling machine; these mushy regions are an artefact of the one-dimensional approximation. We show that for some types of cooling profiles there exists a critical speed for the existence of mushy regions, whereas for different cooling profiles no such critical speed exists. The presence of a mushy region may indicate a strong curvature of the liquid/solid interface in the real situation.
    Original languageEnglish
    Pages (from-to)191-199
    JournalEuropean Journal of Applied Mathematics
    Volume6
    Issue number3
    DOIs
    Publication statusPublished - 1995

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