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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

IMPACT FACTOR 2017: 1.414

CiteScore 2018: 1.15

SCImago Journal Rank (SJR) 2018: 0.370
Source Normalized Impact per Paper (SNIP) 2018: 0.431

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Volume 31, Issue 12


Reciprocity and Boundary Conditions for Transport-Relaxation Equations

L. Waldmann
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-1976-1201


Recently a reciprocity theorem has been derived from the transport-relaxation equations for a simple system, consisting of one medium (Ref.1). With a composite system, consisting of two immiscible media in contact, a plausible generalized reciprocity scheme, here called universal reciprocity postulate, is suggested now. It leads to an equivalent reciprocity requirement at the inter-face between both media and thus decisively restricts - in form of provable Onsager relations - the possible constitutive laws connecting the thermodynamical forces and fluxes at the interface. For the formulation of these ideas, some mathematical tools are developed in advance. Finally, heat conduction is treated, as the most simple example, first in the direct way, then according to the more sophisticated mathematical tools.

About the article

Received: 1976-11-03

Published Online: 2014-06-02

Published in Print: 1976-12-01

Citation Information: Zeitschrift für Naturforschung A, Volume 31, Issue 12, Pages 1439–1450, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-1976-1201.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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