Abstract
Some tools of Non-Equilibrium Thermodynamics of closed discrete systems are considered: the non-equilibrium state space, the non-equilibrium entropy as a state function and its connection with the entropy production, Clausius’ inequality, equilibrium and accompanying processes. Why can the thermostatic temperature be used successfully in thermal engineering even in cases of non-equilibrium?
References
[1] W. Muschik, Discrete systems in thermal physics and engineering: A glance from non-equilibrium thermodynamics, Contin. Mech. Thermodyn. https://doi.org/10.1007/s00161-021-01037-9.10.1007/s00161-021-01037-9Suche in Google Scholar
[2] W. Schottky, Thermodynamik, Erster Teil 
[3] S. Kjelstrup, D. Bedeaux, E. Johannessen and J. Gross, Non-Equilibrium Thermodynamics for Engineers, Sect. 2, World Scientific, Singapore, 2017.10.1142/10286Suche in Google Scholar
[4] W. Muschik, Aspects of Non-Equilibrium Thermodynamics, Sect. 1.2, World Scientific, Singapore, 1990.10.1515/jnet.1990.15.2.127Suche in Google Scholar
[5] W. Muschik, Internal variables in non-equilibrium thermodynamics, J. Non-Equilib. Thermodyn. 15 (1990), 127–137.10.1007/978-3-642-84332-7_2Suche in Google Scholar
[6] G. A. Maugin and W. Muschik, Thermodynamics with internal variables, J. Non-Equilib. Thermodyn. 19 (1994), no. 217–249, 250–289.10.1142/9789812796271_0004Suche in Google Scholar
[7] W. Muschik, Second law and non-equilibrium entropy of Schottky systems – Doubts and verification, Entropy 20 (2018), 740, 1–15, DOI: 10.3390/c20100740.Suche in Google Scholar
[8] W. Muschik, Empirical foundation and axiomatic treatment of non-equilibrium temperature, Arch. Ration. Mech. Anal. 66 (1977), 379–401.10.1007/BF00248902Suche in Google Scholar
[9] W. Muschik and G. Brunk, A concept of non-equilibrum temperature, Int. J. Eng. Sci. 15 (1977), 377–389.10.1016/0020-7225(77)90047-7Suche in Google Scholar
[10] W. Muschik, Contact quantities and non-equilibriun entropy of discrete systems, J. Non-Equilib. Thermodyn. 34 (2009), 75–92.10.1515/JNETDY.2009.005Suche in Google Scholar
[11] G. Brunk and W. Muschik, Temperatur und irreversibilität in der rationalen mechanik, Z. Angew. Math. Mech. 55 (1975), T102–T105.Suche in Google Scholar
[12] W. Muschik, Contact temperature as an internal variable of discrete systems in non-equilibrium, in: H. Altenbach, J. Pouget, M. Rousseau, B. Collet and T. Michelitsch, (eds.), Generalized Models and Non-classical Approaches in Complex Materials 1, Springer Nature (2018), 605–618.Suche in Google Scholar
[13] J. Kestin, A Course in Thermodynamics, Vol. I, Sect. 13.6, Hemisphere Pub. Corp., Washington/London, 1979.Suche in Google Scholar
[14] C. Papenfuß, Continuum Thermodynamics and Constitutive Theory, Sect. 4.2, Springer Nature Switzerland, 2020.10.1007/978-3-030-43989-7Suche in Google Scholar
[15] W. Muschik, Fundamentals of Non-Equilibrium Thermodynamics, in: W. Muschik (ed.), Non-Equilibrium Thermodynamics with Application to Solids, CISM Courses and Lectures, 336, Springer, Wien (1993), 1–63.10.1007/978-3-7091-4321-6Suche in Google Scholar
[16] J. Kestin, A Course in Thermodynamics, Vol. I, Sect. 9.11, Hemisphere Pub. Corp., Washington/London, 1979.Suche in Google Scholar
[17] J. U. Keller, Ein beitrag zur thermodynamik fluider systeme, Physica 53 (1971), 602–620.10.1016/0031-8914(71)90117-0Suche in Google Scholar
© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
 - Editorial
 - Editorial
 - Research Articles
 - Pattern Formation in Thermal Convective Systems: Spatio-Temporal Thermal Statistics, Emergent Flux, and Local Equilibrium
 - A Thermodynamical Description of Third Grade Fluid Mixtures
 - A Robust Physics-Based Calculation of Evolving Gas–Liquid Interfaces
 - Thermal Shear Waves Induced in Mesoscopic Liquids at Low Frequency Mechanical Deformation
 - Sources of Finite Speed Temperature Propagation
 - Non-Linear Heat Transport Effects in Systems with Defects
 - Nonlinear Thermal Transport with Inertia in Thin Wires: Thermal Fronts and Steady States
 - Optimizing the Piston Paths of Stirling Cycle Cryocoolers
 - Non-Linear Stability and Non-Equilibrium Thermodynamics—There and Back Again
 - Variational Approach to Fluid-Structure Interaction via GENERIC
 - Short Communication
 - Thermodynamical Foundations of Closed Discrete Non-Equilibrium Systems
 - Review
 - Thermotics As an Alternative Nonequilibrium Thermodynamic Approach Suitable for Real Thermoanalytical Measurements: A Short Review
 
Artikel in diesem Heft
- Frontmatter
 - Editorial
 - Editorial
 - Research Articles
 - Pattern Formation in Thermal Convective Systems: Spatio-Temporal Thermal Statistics, Emergent Flux, and Local Equilibrium
 - A Thermodynamical Description of Third Grade Fluid Mixtures
 - A Robust Physics-Based Calculation of Evolving Gas–Liquid Interfaces
 - Thermal Shear Waves Induced in Mesoscopic Liquids at Low Frequency Mechanical Deformation
 - Sources of Finite Speed Temperature Propagation
 - Non-Linear Heat Transport Effects in Systems with Defects
 - Nonlinear Thermal Transport with Inertia in Thin Wires: Thermal Fronts and Steady States
 - Optimizing the Piston Paths of Stirling Cycle Cryocoolers
 - Non-Linear Stability and Non-Equilibrium Thermodynamics—There and Back Again
 - Variational Approach to Fluid-Structure Interaction via GENERIC
 - Short Communication
 - Thermodynamical Foundations of Closed Discrete Non-Equilibrium Systems
 - Review
 - Thermotics As an Alternative Nonequilibrium Thermodynamic Approach Suitable for Real Thermoanalytical Measurements: A Short Review