Exact closed-form solutions of some Stefan problems in thermally heterogeneous cylinders

O. P. Layeni, J. V. Johnson

    Research output: Contribution to journalArticlepeer-review

    Abstract

    It will be shown that one can obtain from a differential-difference equation reformulation exact closed-form solutions to a class of Stefan problems in cylinders with inverse-square thermal heterogeneity: in particular, new interfacial evolutions were discovered for this class of problems, which Gottlieb's approach [Appl. Math. Lett. 15 (2002) 167-172] had not been able to produce, alongside their associated exact closed-form temperature distributions.

    Original languageEnglish
    Pages (from-to)32-37
    Number of pages6
    JournalMechanics Research Communications
    Volume71
    DOIs
    StatePublished - Jan 2016

    Keywords

    • Clarkson-Kruskal's direct method
    • Differential-difference equations
    • Stefan problem

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