GENERATION OF SWIRL DUE TO SYMMETRY-BREAKING

Citation
V. Shtern et al., GENERATION OF SWIRL DUE TO SYMMETRY-BREAKING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 2881-2886
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
49
Issue
4
Year of publication
1994
Part
A
Pages
2881 - 2886
Database
ISI
SICI code
1063-651X(1994)49:4<2881:GOSDTS>2.0.ZU;2-6
Abstract
We study symmetry breaking in a meridional steady motion of viscous in compressible fluids by considering the case of a laminar axisymmetric ''vortex dynamo.'' Using a linear and subsequently a non-linear analys is we demonstrate the feasibility of a supercritical pitchfork birfurc ation from an initially ''trivial'' nonswirling flow solution to one w ith a steady (clockwise or counterclockwise) swirling regime as the Re ynolds number exceeds a critical value. This agrees with recent experi mental results for a flow inside a conical meniscus, as observed in el ectrosprays.