Non-axisymmetric subcritical bifurcations in viscoelastic Taylor-Couette flow

R. Sureshkumar, Antony N. Beris, Marios Avgousti

Research output: Contribution to journalArticle

66 Scopus citations

Abstract

In this paper, the bifurcating families corresponding to each one of the two possible non-axisymmetric patterns emerging at the point of criticality, namely the spirals and ribbons any are calculated and their stability are determined. It is shown that for a narrow gap size, the upper convected Maxwell and Oldroyd-B fluids, at least one of the non-axisymmetric families bifurcates subcritically. This result, in conjunction with theoretical analysis of Hopf bifurcation in presence of symmetries, implies that neither of the bifurcating families is stable. Thus, there is a finite transition corresponding to infinitesimal changes of the flow parameters in the vicinity of the Hopf bifurcation point.

Original languageEnglish (US)
Pages (from-to)135-153
Number of pages19
JournalProceedings of The Royal Society of London, Series A: Mathematical and Physical Sciences
Volume447
Issue number1929
DOIs
StatePublished - 1994

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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