Application of Gibbs equality for the description of heat and mass transport in continuum

Document Type

Conference Proceeding

Publication Date

12-1-1988

Abstract

This paper is concerned with the description of real (or irreversible) transport processes in continuous systems. The formalism of non-equilibrium thermodynamics and the Clausius-Duhem inequality enable us to describe heat transfer in a continuum by equations relating heat flux, entropy flux, density of entropy production, density, specific energy, absolute temperature and time. Heat transfer in real systems is then described by an equality involving specific entropy. By incorporating material motion and change of chemical potentials, the equality can be expanded into the general form of Gibbs equation. This shows that Gibbs equality rather than Gibbs inequality can be used for description of a wide range of transport processes in a continuous system. Analysis of such processes as shock waves or laser heating demonstrates the feasibility of such an application.

Identifier

0024174483 (Scopus)

Publication Title

American Society of Mechanical Engineers Advanced Energy Systems Division Publication AES

First Page

25

Last Page

28

Volume

6

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