Lid-driven cavity flow of viscoelastic liquids

• Autor(a) principal: Sousa, R. G.
• Data de Publicação: 2016
• Outros Autores: Poole, R. J., Afonso, A. M., Pinho, F. T., Oliveira, P. J., Morozov, A., Alves, M. A.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
• Texto Completo: http://hdl.handle.net/10400.6/11047
• topic: UCM model; Oldroyd-B model;; Purely-elastic flow instability; Velocity regularization; Finite-volume method; Log-conformation tensor

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.