Numerical Simulation of
viscoelastic flows with Oldroyd-B constitutive equations and novel
algebraic stress models
type de publication |
article dans une revue internationale avec comité de lecture |
date de publication |
2006 |
auteur(s) |
Thais Laurent; Helin Lionel; Mompean Gilmar |
journal (abréviation) |
Journal of Non-Newtonian Fluid Mechanics (Journal of Non-Newtonian Fluid Mechanics) |
volume (numéro) |
140 (1-3) |
| |
pages |
145 – 158 |
résumé |
The purpose of the present study is to compare numerical simulations
of viscoelastic flows using the differential Oldroyd-B constitutive
equations and two newly devised simplified algebraic explicit stress models (AES-Models).
The flows of a viscoelastic fluid in a 180textsuperscript{o} bent planar channel and in a 4:1 planar contraction are considered to illustrate and support the underlying theory.
The flow in the bent channel is used to illustrate the frame-invariant property of the new models in a pure shear flow exhibiting strong streamline curvature.
The flow in the 4:1 contraction serves as a benchmark test in a situation where strong elongation occurs.
For both geometries, it is found that the predictions of the new AES-models are in good agreement with mbox{Oldroyd-B} up to Deborah numbers of order 0.5, with a significant reduction in computational effort. |
mots clés |
algebraic viscelastic models, 4:1 contraction, Oldroyd-B, finite volume |
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