On energy and entropy infuxes in the Green-Naghdi Type III theory of heat conduction

Publikationstyp
Journal Article
Date Issued
2013-04-08
Sprache
English
Author(s)
Bargmann, Swantje  
Favata, Antonino  
Podio-Guidugli, Paolo  
Institut
Kontinuums- und Werkstoffmechanik M-15  
TORE-URI
http://hdl.handle.net/11420/3300
Journal
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences  
Volume
469
Issue
2152
Article Number
20120705
Citation
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2152 (469): 20120705 (2013)
Publisher DOI
10.1098/rspa.2012.0705
Scopus ID
2-s2.0-84874375639
Publisher
Royal Society
The energy-influx/entropy-influx relation in the Green-Naghdi Type III theory of heat conduction is examined within a thermodynamical framework à la Müller-Liu, where that relation is not specified a priori irrespectively of the constitutive class under attention. It is shown that the classical assumption, i.e. that the entropy influx and the energy influx are proportional via the absolute temperature, holds true if heat conduction is, in a sense that is made precise, isotropic. In addition, it is proved that influx proportionality cannot be postulated in general, because a counterexample can be given in the case of transversely isotropic conduction. © 2013 The Author(s) Published by the Royal Society.
Subjects
Coldness
Energy infux
Entropy infux
Müller-Liu entropy principle
Thermal displacement
DDC Class
500: Naturwissenschaften
530: Physik
More Funding Information
Deutsche Forschungsgemeinschaft