Journal
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
Volume 465, Issue 4, Pages 149-189Publisher
ELSEVIER
DOI: 10.1016/j.physrep.2008.04.010
Keywords
Boltzmann equation; Chapman-Enskog method; hydrodynamics
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This work is mainly concerned with the extension of hydrodynamics beyond the Navier-Stokes equations, a regime known as Burnett hydrodynamics. The derivation of the Burnett equations is considered from several theoretical approaches. In particular we discuss the Chapman-Enskog, Grad's method, and Truesdell's approach for solving the Boltzmann equation. Also, their derivation using the macroscopic approach given by extended thermodynamics is mentioned. The problems and successes of these equations are discussed and some alternatives proposed to improve them are mentioned. Comparisons of the predictions coming from the Burnett equations with experiments and/or simulations are given in order to have the necessary elements to give a critical assessment of their validity and usefulness. (C) 2008 Elsevier B.V. All rights reserved.
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