The Stewartson layer of a rotating disk of finite radius

A. I. Van de Vooren

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    Abstract

    It is shown that if a disk of finite radius and the surrounding medium rotate coaxially with slightly different angular velocities, an axial layer in the form of a cylindrical shell exists at the edge of the disk. This shell of thickness O(E1/3) has length O(E-1) in axial direction, where E is the Ekman number. Its most characteristic element is the axial velocity of O(E1/6) which is larger than everywhere else in the field. We calculate the velocity components and the pressure in this layer.

    Original languageEnglish
    Pages (from-to)131-152
    Number of pages22
    JournalJournal of Engineering Mathematics
    Volume26
    Issue number1
    DOIs
    Publication statusPublished - Feb-1992

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