Computations with viscoplastic and viscoelastoplastic fluids

Fawzi Belblidia, Hamid Reza Tamaddon-Jahromi, Michael Francis Webster*, Kenneth Walters

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (SciVal)

Abstract

This numerical study focuses on regularised Bingham-type and viscoelastoplastic fluids, performing simulations for 4:1:4 contraction-expansion flow with a hybrid finite element-finite volume subcell scheme. The work explores the viscoplastic regime, via the Bingham-Papanastasiou model, and extends this into the viscoelastoplastic regime through the Papanastasiou-Oldroyd model. Our findings reveal the significant impact that elevation has in yield stress parameters, and in sharpening of the stress singularity from that of the Oldroyd/Newtonian models to the ideal Bingham form. Such aspects are covered in field response via vortex behaviour, pressure-drops, stress field structures and yielded-unyielded zones. With rising yield stress parameters, vortex trends reflect suppression in both upstream and downstream vortices. Viscoelastoplasticity, with its additional elasticity properties, tends to disturb upstream-downstream vortex symmetry balance, with knock-on effects according to solvent-fraction and level of elasticity. Yield fronts are traced with increasing yield stress influences, revealing locations where relatively unyielded material aggregates. Analysis of pressure drop data reveals significant increases in the viscoplastic Bingham-Papanastasiou case, O (12%) above the equivalent Newtonian fluid, that are reduced to 8% total contribution increase in the viscoelastoplastic Papanastasiou-Oldroyd case. This may be argued to be a consequence of strengthening in first normal stress effects.

Original languageEnglish
Pages (from-to)343-360
Number of pages18
JournalRheologica Acta
Volume50
Issue number4
DOIs
Publication statusPublished - Apr 2011
EventViscoplastic Fluids - From Theory to Application - Limassol, Cyprus
Duration: 01 Nov 200905 Nov 2009

Keywords

  • Viscoplastic
  • Viscoelastoplastic
  • Yield stress
  • Bingham
  • Papanastasiou models
  • FINITE VOLUME/ELEMENT METHOD
  • HERSCHEL-BULKLEY FLUIDS
  • YIELD-STRESS
  • TRANSIENT DISPLACEMENT
  • EXTENSIONAL RHEOLOGY
  • NUMERICAL-SIMULATION
  • CONTRACTION FLOWS
  • PRESSURE-DROP
  • LIQUIDS
  • EXPANSIONS

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