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

Laust Tophøj; Søren Møller; Morten Brøns

doi:10.1063/1.2337660

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 language	English
Journal	Physics of Fluids
Volume	18
Issue number	8
Pages (from-to)	083102
ISSN	1070-6631
DOIs	https://doi.org/10.1063/1.2337660
Publication status	Published - 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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10.1063/1.2337660

BrønsFinal published version, 228 KB

http://link.aip.org/link/?PHFLE6/18/083102/1

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AB - 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

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