Mode competition between rotating waves in a swirling flow with reflection symmetry

Juan Lopez, F. Marques

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Flow in a cylinder driven by the co-rotation of the top and bottom endwalls displays distinct instability mechanisms, depending on whether its aspect ratio (length to diameter) is large or small. When the cylinder length is about the same as its diameter, the two mechanisms compete and lead to a stable mixed mode solution. Using numerical computations of the three-dimensional Navier-Stokes equations, together with equivariant bifurcation and normal form theory, we explore the nature of this mode competition, both from a flow physics point of view and from a dynamical systems with symmetry point of view. The results help to clarify the distinct behaviours observed experimentally in some short and long cylinder flows.

Original languageEnglish (US)
Pages (from-to)265-288
Number of pages24
JournalJournal of Fluid Mechanics
Issue number507
DOIs
StatePublished - May 25 2004

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Swirling flow
swirling
Navier Stokes equations
Aspect ratio
Dynamical systems
Physics
symmetry
corotation
dynamical systems
Navier-Stokes equation
aspect ratio
physics

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Mode competition between rotating waves in a swirling flow with reflection symmetry. / Lopez, Juan; Marques, F.

In: Journal of Fluid Mechanics, No. 507, 25.05.2004, p. 265-288.

Research output: Contribution to journalArticle

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