Oscillatory modes in an enclosed swirling flow

Juan Lopez, F. Marques, J. Sanchez

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

The flow in a completely filled cylinder driven by a rotating endwall has multiple time-dependent stable states when the endwell rotation exceeds a critical value. These states have been observed experimentally and computed numerically elsewhere. In this article, the linear stability of the basic state, which is a non-trivial axisymmetric flow, is analysed at parameter values where the unsteady solutions exist. We show that the basic state undergoes a succession of Hopf bifurcations and the corresponding eigenvalues and eigenvectors of these excited modes describe most of the characteristics of the observed time-dependent states.

Original languageEnglish (US)
Pages (from-to)109-129
Number of pages21
JournalJournal of Fluid Mechanics
Volume439
DOIs
StatePublished - Jul 25 2001

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Swirling flow
swirling
Hopf bifurcation
Eigenvalues and eigenfunctions
axisymmetric flow
eigenvectors
eigenvalues

ASJC Scopus subject areas

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

Cite this

Oscillatory modes in an enclosed swirling flow. / Lopez, Juan; Marques, F.; Sanchez, J.

In: Journal of Fluid Mechanics, Vol. 439, 25.07.2001, p. 109-129.

Research output: Contribution to journalArticle

Lopez, Juan ; Marques, F. ; Sanchez, J. / Oscillatory modes in an enclosed swirling flow. In: Journal of Fluid Mechanics. 2001 ; Vol. 439. pp. 109-129.
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