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

doi:10.1016/j.jnnfm.2016.03.001

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

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	129-138
Number of pages	10
Journal	Journal of non-Newtonian fluid mechanics
Volume	234
DOIs	https://doi.org/10.1016/j.jnnfm.2016.03.001
Publication status	Published - 8 Mar 2016

Keywords / Materials (for Non-textual outputs)

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

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@article{c898bf9d67b04b62b0d2b36219b27581,

title = "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. ≤. 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.",

keywords = "Finite-volume method, Log-conformation tensor, Oldroyd-B model, Purely-elastic flow instability, UCM model, Velocity regularization",

author = "Sousa, \{R. G.\} and Poole, \{R. J.\} and Afonso, \{A. M.\} and Pinho, \{F. T.\} and Oliveira, \{P. J.\} and A. Morozov and Alves, \{M. A.\}",

year = "2016",

month = mar,

day = "8",

doi = "10.1016/j.jnnfm.2016.03.001",

language = "English",

volume = "234",

pages = "129--138",

journal = "Journal of non-Newtonian fluid mechanics",

issn = "0377-0257",

publisher = "Elsevier",

}

TY - JOUR

T1 - Lid-driven cavity flow of viscoelastic liquids

AU - Sousa, R. G.

AU - Poole, R. J.

AU - Afonso, A. M.

AU - Pinho, F. T.

AU - Oliveira, P. J.

AU - Morozov, A.

AU - Alves, M. A.

PY - 2016/3/8

Y1 - 2016/3/8

N2 - 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.

AB - 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.

KW - Finite-volume method

KW - Log-conformation tensor

KW - Oldroyd-B model

KW - Purely-elastic flow instability

KW - UCM model

KW - Velocity regularization

UR - https://www.scopus.com/pages/publications/84971376559

U2 - 10.1016/j.jnnfm.2016.03.001

DO - 10.1016/j.jnnfm.2016.03.001

M3 - Article

AN - SCOPUS:84971376559

SN - 0377-0257

VL - 234

SP - 129

EP - 138

JO - Journal of non-Newtonian fluid mechanics

JF - Journal of non-Newtonian fluid mechanics

ER -

Lid-driven cavity flow of viscoelastic liquids

Abstract

Keywords / Materials (for Non-textual outputs)

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