Comments on nonlinear viscosity and Grad’s moment method

2002/03/31 by Andrés Santos, Andres Santos · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #cond-mat.stat-mech #physics.flu-dyn

paper · pdf · doi:10.1103/physreve.67.053201

published as Phys. Rev. E 67, 053201-1-4 (2003) · 4 pages, 1 figure; missing lines in figure corrected; accepted for publication in Phys. Rev. E

arxiv created 2003/04/09 · openalex publication_date 2003/05/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 García-Colín [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.

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