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

Publication: Research - peer-reviewJournal article – Annual report year: 2006

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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
Publication date2006
Volume18
Issue8
Pages083102
ISSN1070-6631
DOIs
StatePublished

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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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