Small aspect ratio Taylor-Couette flow: Onset of a very-low-frequency three-torus state

Juan Lopez, Francisco Marques

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

The nonlinear dynamics of Taylor-Couette flow in small aspect ratio annulus was discussed by numerically solving the full three-dimensional Navier-Stokes equations. Four distinct cases for the symmetries of the bifurcated orbit were derived. The codimension-two double Hopf bifurcation where the two Hopf bifurcations coincide was also located.

Original languageEnglish (US)
Article number036302
Pages (from-to)363021-363029
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number3 2
StatePublished - Sep 1 2003

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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