Derivation of a non-objective Oldroyd model from the Boltzmann equation
Statistical Mechanics
2007-05-23 v1
Abstract
I calculate the hydrodynamic limit of the BGK approximation of the Boltzmann equation for the case of a long stress relaxation time and find that the stress obeys a viscoelastic constitutive equation. The constitutive equation is different from standard constitutive equations used for polymeric liquids in that it is not ``objective'' because inertial effects are important. I calculate the exact solution for the stresses for simple shear flow and elongational flow.
Keywords
Cite
@article{arxiv.cond-mat/0105067,
title = {Derivation of a non-objective Oldroyd model from the Boltzmann equation},
author = {Alexander J. Wagner},
journal= {arXiv preprint arXiv:cond-mat/0105067},
year = {2007}
}
Comments
14 pages, 4 figures