Thermodynamics of continuous systems

Document Type

Conference Proceeding

Publication Date

1-1-2003

Abstract

The formalism of the classical thermodynamics, for example Gibbs equations, is routinely and successfully applied to the highly non-equilibrium processes in dynamic systems. Such applications are based on the local equilibrium hypothesis. The presented paper discusses the conditions of the application of this hypothesis. It is shown that the local equilibrium hypothesis is applicable with no limitations to continuous systems. This application is validated by the solution of the Boltzmann equation. This solution was obtained by Enskog, Chapman and Bogolubov. From the Boltzmann equation follows that regardless of the initial state of the system the duration of its approach to the local equilibrium conditions by far less than the time scale of the evolution of the macro properties of the continuous media. This result shows that the local equilibrium is the intrinsic property of this media. Thus it is possible to apply the formalism of the non-equilibrium thermodynamics (the generalized variables, forces and fluxes) to description of the continuous system with no limitations. The derivation of the Carnot theorem is presented to show the effectiveness of such an application.

Identifier

1842479206 (Scopus)

Publication Title

American Society of Mechanical Engineers Advanced Energy Systems Division Publication AES

External Full Text Location

https://doi.org/10.1115/IMECE2003-42676

ISSN

10716947

First Page

285

Last Page

290

Volume

43

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