Lid-driven cavity flow of viscoelastic liquids
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 < 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.
Keywords
Cite
@article{arxiv.1603.02142,
title = {Lid-driven cavity flow of viscoelastic liquids},
author = {R. G. Sousa and R. J. Poole and A. M. Afonso and F. T. Pinho and P. J. Oliveira and A. Morozov and M. A. Alves},
journal= {arXiv preprint arXiv:1603.02142},
year = {2016}
}