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

T. Tél, J. Vollmer, L. Mátyá

Research output: Contribution to journalArticle

9 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)458-464
Number of pages7
JournalEPL
Volume53
Issue number4
DOIs
Publication statusPublished - Feb 11 2001

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shear flow
dynamical systems
entropy
heating
heat sinks
viscous flow
conductive heat transfer
temperature distribution
inclusions
molecular dynamics
simulation
temperature

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Shear flow, viscous heating, and entropy balance from dynamical systems. / Tél, T.; Vollmer, J.; Mátyá, L.

In: EPL, Vol. 53, No. 4, 11.02.2001, p. 458-464.

Research output: Contribution to journalArticle

Tél, T. ; Vollmer, J. ; Mátyá, L. / Shear flow, viscous heating, and entropy balance from dynamical systems. In: EPL. 2001 ; Vol. 53, No. 4. pp. 458-464.
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