A lattice Boltzmann model for Jeffreys viscoelastic fluid
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
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