Effects of anisotropy on the stability of Giesekus fluid flow

In the present work, the stability of a viscoelastic fluid flow is studied by linear stability theory, and some results are verified by direct numerical simulation. The investigation considers the fluid flow between two parallel plates, modeled by the Giesekus constitutive equation. The results show...

Full description

Saved in:
Bibliographic Details
Published in:Physics of fluids (1994) 2022-12, Vol.34 (12)
Main Authors: Furlan, L. J. S., Araujo, M. T., Mendonca, M. T., Brandi, A. C., Souza, L. F.
Format: Article
Language:English
Subjects:
Anisotropy
Computational fluid dynamics
Constitutive equations
Constitutive relationships
Direct numerical simulation
Disturbances
Flow stability
Fluid flow
Mathematical models
Parallel plates
Parameters
Reynolds number
Viscoelastic fluids
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the present work, the stability of a viscoelastic fluid flow is studied by linear stability theory, and some results are verified by direct numerical simulation. The investigation considers the fluid flow between two parallel plates, modeled by the Giesekus constitutive equation. The results show the influence of the anisotropic tensorial correction parameter αG on this model, showing a stabilizing influence for two-dimensional disturbances for small values of αG. However, as αG increases, a reduction in the critical Reynolds number values is observed, possibly hastening the transition to turbulence. Low values for αG for three-dimensional disturbances cause more significant variations for the critical Reynolds number. This variation decreases as the value of this parameter increases. The results also show that low values of αG increase the instability of three-dimensional disturbances and confirm that Squire's theorem is not valid for this model. As for the two-dimensional disturbances, the anisotropic term on the Giesekus model lowers the critical Reynolds number for higher quantities of polymer viscosity in the mixture and high values for the Weissenberg number.
ISSN:1070-6631
1089-7666
DOI:10.1063/5.0125989