Subcritical finite-amplitude solutions for plane Couette flow of viscoelastic fluids

AN Morozov*, W van Saarloos

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Plane Couette flow of viscoelastic fluids is shown to exhibit a purely elastic subcritical instability at a very small-Reynolds number in spite of being linearly stable. The mechanism of this instability is proposed and the nonlinear stability analysis of plane Couette flow of the Upper-Convected Maxwell fluid is presented. Above a critical Weissenberg number, a small finite-size perturbation is sufficient to create a secondary flow, and the threshold value for the amplitude of the perturbation decreases as the Weissenberg number increases. The results suggest a scenario for weakly turbulent viscoelastic flow which is similar to the one for Newtonian fluids as a function of Reynolds number.

Original languageEnglish
Article number024501
Number of pages4
JournalPhysical Review Letters
Volume95
Issue number2
DOIs
Publication statusPublished - 8 Jul 2005

Keywords / Materials (for Non-textual outputs)

  • CONVECTED MAXWELL FLUID
  • ZERO REYNOLDS-NUMBER
  • ELASTIC INSTABILITY
  • SHEAR-FLOW
  • COHERENT STRUCTURES
  • STABILITY ANALYSIS
  • POISEUILLE FLOW
  • TURBULENCE

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