Streamline Patterns and their Bifurcations near a wall with Navier slip Boundary Conditions

Laust Tophøj, Søren Møller, Morten Brøns

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    Abstract

    We consider the two-dimensional topology of streamlines near a surface where the Navier slip boundary condition applies. Using transformations to bring the streamfunction in a simple normal form, we obtain bifurcation diagrams of streamline patterns under variation of one or two external parameters. Topologically, these are identical with the ones previously found for no-slip surfaces. We use the theory to analyze the Stokes flow inside a circle, and show how it can be used to predict new bifurcation phenomena. ©2006 American Institute of Physics
    Original languageEnglish
    JournalPhysics of Fluids
    Volume18
    Issue number8
    Pages (from-to)083102
    ISSN1070-6631
    DOIs
    Publication statusPublished - 2006

    Bibliographical note

    Copyright (2006) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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