Shear flow, viscous heating, and entropy balance from dynamical systems
Chaotic Dynamics
2009-10-31 v1
Abstract
A consistent description of a shear flow, the accompanied viscous heating, and the associated entropy balance is given in the framework of a deterministic dynamical system, where a multibaker dynamics drives two fields: the velocity and the temperature distributions. In an appropriate macroscopic limit their transport equations go over into the Navier-Stokes and the heat conduction equation of viscous flows. The inclusion of an artificial heat sink can stabilize steady states with constant temperatures. It mimics a thermostating algorithm used in non-equilibrium molecular-dynamics simulations.
Keywords
Cite
@article{arxiv.nlin/0009013,
title = {Shear flow, viscous heating, and entropy balance from dynamical systems},
author = {Tamas Tel and Juergen Vollmer and Laszlo Matyas},
journal= {arXiv preprint arXiv:nlin/0009013},
year = {2009}
}
Comments
LaTeX 2e (epl.cls + sty-files for Europhys Lett included); 7 pages + 1 eps-figure