Singularities at rims in three-dimensional fluid flow

C.H. Driesen, Johannes G.M. Kuerten

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    Abstract

    Asymptotic solutions are presented for Stokes flow near circular rims in three-dimensional geometries. Using nonstandard toroidal coordinates, asymptotic analytical expressions are derived for different corner angles. In comparison to the two-dimensional case, an extra critical corner angle value is derived, below which the swirling behaviour of a particle is absent. Illustrations of the motion of a particle near a rim in a three-dimensional fluid flow are given for different corner angles.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 1999

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1497
    ISSN (Print)0169-2690

    Keywords

    • EWI-3317
    • MSC-32S05
    • MSC-41A60
    • MSC-76D07
    • IR-65685

    Cite this

    Driesen, C. H., & Kuerten, J. G. M. (1999). Singularities at rims in three-dimensional fluid flow. Enschede: University of Twente, Department of Applied Mathematics.