Lid-driven cavity flow of viscoelastic liquids

The lid-driven cavity flow is a well-known benchmark problem for the validation of new numerical meth- ods 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...

Full description

Bibliographic Details
Main Author: Sousa, R. G. (author)
Other Authors: Poole, R. J. (author), Afonso, A. M. (author), Pinho, F. T. (author), Oliveira, P. J. (author), Morozov, A. (author), Alves, M. A. (author)
Format: article
Language:eng
Published: 2021
Subjects:
Online Access:http://hdl.handle.net/10400.6/11047
Country:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/11047
Description
Summary:The lid-driven cavity flow is a well-known benchmark problem for the validation of new numerical meth- ods 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 ≤ = 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.