| Issue |
Europhys. Lett.
Volume 42, Number 6, June II 1998
|
|
|---|---|---|
| Page(s) | 625 - 630 | |
| Section | Classical areas of phenomenology | |
| DOI | https://doi.org/10.1209/epl/i1998-00296-0 | |
| Published online | 01 September 2002 | |
A lattice Boltzmann model for Jeffreys viscoelastic fluid
1
Laboratoire CNRS-ASCI -
Bât. 506, 91405 Orsay Cedex, France
2
Laboratoire de Physique Statistique
de l'École Normale Supérieure (Associated to CNRS,
Université Paris VI and Paris VII.) 24, Rue Lhomond, 75321 Paris Cedex 05, France
Received:
5
January
1998
Accepted:
28
April
1998
In this letter, we show that an eleven-velocity two-dimensional lattice Boltzmann model using several relaxation times obeys a Jeffreys viscoelastic constitutive law with full isotropic behavior. The connection between the free parameters of the model and the Jeffreys transport coefficients is made with the help of a modified Chapman-Enskog expansion taking into account large relaxation time effects. Numerical simulation of a pulsed Couette flow is performed leading to an excellent agreement with predictions.
PACS: 47.50.+d – Non-Newtonian fluid flows / 05.20.Dd – Kinetic theory / 83.50.Eb – Weissenberg effect
© EDP Sciences, 1998
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