Subcritical instabilities in plane Couette flow of visco-elastic fluids

AN Morozov*, W van Saarloos

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A non-linear stability analysis of plane Couette flow of the Upper-Convected Maxwell model is performed. The amplitude equation describing time-evolution of a finite-size perturbation is derived. It is shown that above the critical Weissenberg number, a perturbation in the form of an eigenfunction of the linearized equations of motion becomes subcritically unstable, and the threshold value for the amplitude of the perturbation decreases as the Weissenberg number increases.

Original languageEnglish
Title of host publicationIUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions
EditorsT Mullin, R Kerswell
Place of PublicationDORDRECHT
PublisherSpringer-Verlag GmbH
Pages313-330
Number of pages18
ISBN (Print)1-4020-4048-2
Publication statusPublished - 2005
EventSymposium on Non-Uniqueness of Solutions to the Navier-Stokes Equations and Their Connection with Laminar-Transition - Bristol, United Kingdom
Duration: 9 Aug 200411 Aug 2004

Publication series

NameFLUID MECHANICS AND ITS APPLICATIONS
PublisherSPRINGER
Volume77

Conference

ConferenceSymposium on Non-Uniqueness of Solutions to the Navier-Stokes Equations and Their Connection with Laminar-Transition
Country/TerritoryUnited Kingdom
Period9/08/0411/08/04

Keywords

  • visco-elastic flows
  • subcritical instabilities
  • amplitude equation
  • CONVECTED MAXWELL FLUID
  • ZERO REYNOLDS-NUMBER
  • ELASTIC INSTABILITY
  • POISEUILLE FLOW
  • STABILITY ANALYSIS
  • LINEAR-STABILITY
  • PARALLEL FLOWS
  • SHEAR-FLOW
  • TURBULENCE
  • MECHANICS

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