Surface tension effects in a wedge

Neville Fowkes, M.J. Hood

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    The linearized Laplace-Young capillary equation has been served for the depth of liquid contained in a region bounded by vertical wails at an arbitrary wedge angle 2 alpha using the Kantorovich-Lebedev transform. These solutions accurately describe the surface displacement for surface contact angles gamma close enough to pi/2, for both convex and concave (re-entrant) wedge angles.By matching solutions of the linearized Laplace-Young equation solutions onto the exactly known one-dimensional nonlinear Laplace-Young wall solutions, far-field approximations are obtained for arbitrary contact angle gamma situations for possibly a restricted range of wedge angles.
    Original languageEnglish
    Pages (from-to)553 - 561
    JournalQuarterly Journal of Mechanics and Applied Mathematics
    Volume51
    DOIs
    Publication statusPublished - 1998

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