TITLE

Extended Hydrodynamics from Enskog’s Equation for a Two-Dimensional System General Formalism

AUTHOR(S)
Ugawa, Hideaki; Cordero, Patricio
PUB. DATE
April 2007
SOURCE
Journal of Statistical Physics;Apr2007, Vol. 127 Issue 2, p339
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Balance equations are derived from Enskog’s kinetic equation for a two-dimensional system of hard disks using Grad’s moment expansion method. This set of equations constitute an extended hydrodynamics for moderately dense bi-dimensional fluids. The set of independent hydrodynamic fields in the present formulations are: density, velocity, temperature and also—following Grad’s original idea—the symmetric and traceless pressure tensor p ij and the heat flux vector q k . An approximation scheme similar in spirit to one made by Grad in his original work is made. Once the hydrodynamics is derived it is used to discuss the nature of a simple one-dimensional heat conduction problem. It is shown that, not too far from equilibrium, the nonequilibrium pressure in this case only depends on the density, temperature and heat flux vector.
ACCESSION #
24783357

 

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