Comments on nonlinear viscosity and Grad's moment method
Statistical Mechanics
2007-05-23 v3 Fluid Dynamics
Abstract
It is shown that the steady unidirectional flow with vanishing heat flux considered by B. C. Eu [Phys. Rev. E 65, 031202 (2002)], and earlier by Uribe and Garcia--Colin [Phys. Rev. E 60, 4052 (1999)], is inconsistent with the exact conservation laws of mass, momentum, and energy. The inconsistency does not lie in the assumed symmetry properties of the flow but in the stationarity assumption. The unsteady problem is considered and its solution from the Boltzmann equation for Maxwell molecules is given.
Cite
@article{arxiv.cond-mat/0203499,
title = {Comments on nonlinear viscosity and Grad's moment method},
author = {Andres Santos},
journal= {arXiv preprint arXiv:cond-mat/0203499},
year = {2007}
}
Comments
4 pages, 1 figure; missing lines in figure corrected; accepted for publication in Phys. Rev. E