Linear stability analysis for plane-Poiseuille flow of an elastoviscoplastic fluid with internal microstructure for large Reynolds numbers

Miguel Moyers-Gonzalez*, Teodor I. Burghelea, Julian Mak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We study the linear stability of Plane Poiseuille flow of an elastoviscoplastic fluid using a revised version of the model proposed by Putz and Burghelea (A.M.V. Putz, T.I. Burghelea, Rheol. Acta 48 (2009) 673-689). The evolution of the microstructure upon a gradual increase of the external forcing is governed by a structural variable (the concentration of solid material elements) which decays smoothly from unity to zero as the stresses are gradually increased beyond the yield point. Stability results are in close conformity with the ones of a pseudo-plastic fluid. Destabilizing effects are related to the presence of an intermediate transition zone where elastic solid elements coexist with fluid elements. This region brings an elastic contribution which does modify the stability of the flow. (C) 2011 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)515-531
Number of pages17
JournalJournal of non-Newtonian fluid mechanics
Volume166
Issue number9-10
DOIs
Publication statusPublished - May 2011
Externally publishedYes

Keywords / Materials (for Non-textual outputs)

  • Linear stability
  • Plane Poiseuille flow
  • Viscoplastic fluids
  • Elastoviscoplastic fluids
  • Internal microstructure
  • YIELD-STRESS FLUIDS
  • COUETTE-FLOW
  • BINGHAM FLUID
  • MAXWELL FLUID
  • SCALING LAWS
  • TRANSITION
  • VISCOSITY
  • CHANNEL
  • SPECTRUM
  • LIQUIDS

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