Derivation of a nonobjective Oldroyd model from the Boltzmann equation
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.
 Publication:

arXiv eprints
 Pub Date:
 May 2001
 arXiv:
 arXiv:condmat/0105067
 Bibcode:
 2001cond.mat..5067W
 Keywords:

 Statistical Mechanics
 EPrint:
 14 pages, 4 figures