Generation of swirl due to symmetry breaking

V. Shtern, M. Goldshtik, F. Hussain

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

We study symmetry breaking in a meridional steady motion of viscous incompressible fluids by considering the case of a laminar axisymmetric ''vortex dynamo.'' Using a linear and subsequently a nonlinear analysis we demonstrate the feasibility of a supercritical pitchfork birfurcation from an initially ''trivial'' nonswirling flow solution to one with a steady (clockwise or counterclockwise) swirling regime as the Reynolds number exceeds a critical value. This agrees with recent experimental results for a flow inside a conical meniscus, as observed in electrosprays.

Original languageEnglish
Pages (from-to)2881-2886
Number of pages6
JournalPhysical Review E
Volume49
Issue number4
DOIs
StatePublished - 1994

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