Volume 53, Number 4, February 2001
|Page(s)||458 - 464|
|Published online||01 December 2003|
Shear flow, viscous heating, and entropy balance from dynamical systems
Institute of Theoretical Physics,
P.O. Box 32, H-1518 Budapest, Hungary
2 Department of Theoretical Physics, University of Essen - 45117 Essen, Germany
3 Max Planck Institute for Polymer Research - 55128 Mainz, Germany
Accepted: 27 November 2000
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.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.45.Ac – Low-dimensional chaos / 51.20.+d – Viscosity, diffusion, and thermal conductivity
© EDP Sciences, 2001
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