Lid-driven cavity flow of viscoelastic liquids



Sousa, RG, Poole, RJ ORCID: 0000-0001-6686-4301, Afonso, AM, Pinho, FT, Oliveira, PJ, Morozov, A and Alves, MA
(2016) Lid-driven cavity flow of viscoelastic liquids. JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 234. pp. 129-138.

[thumbnail of Sousa_et_al_accepted.pdf] Text
Sousa_et_al_accepted.pdf - Unspecified

Download (5MB)

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.

Item Type: Article
Uncontrolled Keywords: UCM model, Oldroyd-B model, Purely-elastic flow instability, Velocity regularization, Finite-volume method, Log-conformation tensor
Depositing User: Symplectic Admin
Date Deposited: 12 Apr 2016 11:16
Last Modified: 16 Dec 2022 00:01
DOI: 10.1016/j.jnnfm.2016.03.001
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3000441