Derivation of a non-objective 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:
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arXiv e-prints
- Pub Date:
- May 2001
- DOI:
- 10.48550/arXiv.cond-mat/0105067
- arXiv:
- arXiv:cond-mat/0105067
- Bibcode:
- 2001cond.mat..5067W
- Keywords:
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- Statistical Mechanics
- E-Print:
- 14 pages, 4 figures