Shear flow, viscous heating, and entropy balance from dynamical systems

Details Shear flow, viscous heating, and entropy balance from dynamical systems Shear flow, viscous heating, and entropy balance from dynamical systems

2000-09-05

arxiv.org/abs/nlin/0009013v1

Europhysics Letters 53 (2001) 458-464

Nonlinear Sciences

Chaotic Dynamics

LaTeX 2e (epl.cls + sty-files for Europhys Lett included); 7 pages + 1 eps-figure

Scientific paper

10.1209/epl/i2001-00174-3

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.

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