Lid-driven cavity flow of viscoelastic liquids

R. G. Sousa, R. J. Poole, A. M. Afonso, F. T. Pinho, P. J. Oliveira, A. Morozov, M. A. Alves*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The lid-driven cavity flow is a well-known benchmark problem for the validation of new numerical methods and techniques. In experimental and numerical studies with viscoelastic fluids in such lid-driven flows, purely-elastic instabilities have been shown to appear even at very low Reynolds numbers. A finite-volume viscoelastic code, using the log-conformation formulation, is used in this work to probe the effect of viscoelasticity on the appearance of such instabilities in two-dimensional lid-driven cavities for a wide range of aspect ratios (0.125. ≤. Λ. =. height/length. ≤. 4.0), at different Deborah numbers under creeping-flow conditions and to understand the effects of regularization of the lid velocity. The effect of the viscoelasticity on the steady-state results and on the critical conditions for the onset of the elastic instabilities are described and compared to experimental results.

Original languageEnglish
Pages (from-to)129-138
Number of pages10
JournalJournal of non-Newtonian fluid mechanics
Volume234
DOIs
Publication statusPublished - 8 Mar 2016
Externally publishedYes

Keywords

  • Finite-volume method
  • Log-conformation tensor
  • Oldroyd-B model
  • Purely-elastic flow instability
  • UCM model
  • Velocity regularization

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