Abstract
In this work, we investigate the validity of axioms such as Onsager Reciprocal Relations (ORR) for heat transfer in irreversible thermodynamics close to equilibrium. We show that the ORR for this case could be directly derived by introducing the widely accepted concept of heat transfer coefficients into the entropy production rate and by assuming that the thermal conductivity coefficients are uniquely defined. It is believed that this work can not only be used for pedagogical purposes but may also be generalized to other processes beyond heat transfer, thus leading to a generalized framework for transport phenomena and irreversible thermodynamics.
Highlights
The field of irreversible thermodynamics close to equilibrium is a powerful tool for the macroscopic description of processes
In this work, we investigate the validity of axioms such as Onsager Reciprocal Relations (ORR) for heat transfer in irreversible thermodynamics close to equilibrium
In order to investigate the theoretical grounds of ORR, the local heat transfer coefficients close to equilibrium are introduced:
Summary
The field of irreversible thermodynamics close to equilibrium is a powerful tool for the macroscopic description of processes. One of the most important principles for irreversible thermodynamics close to equilibrium is Onsager Reciprocal Relations (ORR). This principle states that in the absence of magnetic fields and assuming linearly independent fluxes (J) or thermodynamic forces (X) (Linearity Axiom: J = L.X), the matrix of phenomenological coefficients (L) in the flux–force relations is symmetric (ORR: Lij = Lji) [1–8]. Onsager derived these relations for the first time in 1931 [9,10].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
