Thermo-diffusion revisited: A comparative approach between two recent thermodynamic formalisms
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G. Lebon
Abstract
Extended irreversible thermodynamics and the general equation for the non-equilibrium reversible–irreversible coupling are two thermodynamic theories that have recently received much attention, not only from the fundamental but also from the practical point of view. The objective of the present work is to compare the respective merits of these two approaches by emphasising their similarities and differences. To avoid formal and tedious developments, we have applied both formalisms to a concrete problem, namely thermo-diffusion in a binary fluid mixture of non-viscous fluids.
References
1 Jou, D., Casas-Vazquez, J., Lebon, G., Extended Irreversible Thermodynamics, 3rd edition, Springer, Berlin, 2001.10.1007/978-3-642-56565-6Suche in Google Scholar
2 Müller, I., Ruggieri, T., Extended Rational Thermodynamics, 2nd edition, Springer, NewYork, 1998.10.1007/978-1-4612-2210-1Suche in Google Scholar
3 Beris, A., Edwards, B., Thermodynamics of Flowing Fluids with Internal Microstructure, Oxford Univ. Press, Washington, 1994.10.1093/oso/9780195076943.001.0001Suche in Google Scholar
4 Jou, D., Casas-Vazquez, J., Lebon, G., Extended irreversible thermodynamics revisited 1988–1998, Rep. Prog. Phys., 62 (1999), 1005–1142.10.1088/0034-4885/62/7/201Suche in Google Scholar
5 Lebon, G., Jou, D., Casas-Vazquez, J., Questions and answers about a thermodynamic theory of the third type, Contemporary Physics, 33 (1992), 41–51.10.1080/00107519208219139Suche in Google Scholar
6 Hutter, C., The foundations of thermodynamics, its basic postulates and implications. A review of modern thermodynamics, Acta Mechanica, 27 (1977), 1–54.10.1007/BF01180075Suche in Google Scholar
7 Grmela, M., Lebon, G., Lhuillier, D., A comparative study of the coupling of flow with non-Fickean thermo-diffusion, parts I, II and III, J. Non-Equilib. Thermodyn., 28 (2003), 1–22, 23–50, 51–68.10.1515/JNETDY.2003.001Suche in Google Scholar
8 Grmela, M., Ottinger, H.C., Dynamics and thermodynamics of complex fluids, parts I and II, Phys. Rev. E, 56 (1996), 6620–6655.10.1103/PhysRevE.56.6620Suche in Google Scholar
9 Edwards, B., Ottinger, H.C., Jongschaap, R., On the relationship between thermodynamic formalisms for complex fluids, J. Non-Equilib. Thermodyn., 22 (1992) 356–373.Suche in Google Scholar
10 Grmela, M., Bracket formulation of diffusion-convection equations, Physica D, 21 (1986), 179–202.10.1016/0167-2789(86)90001-1Suche in Google Scholar
11 Grmela, M., Complex fluids subjected to external in.uences, J. Non-Newtonian Fluid Mech., 96 (2001), 221–254.10.1016/S0377-0257(00)00186-5Suche in Google Scholar
12 Onsager, L., Reciprocal relations in irreversible processes, Phys. Rev., 37 (1931), 405–426; 38 (1931), 2265–2279.Suche in Google Scholar
13 Prigogine, I., Thermodynamics of Irreversible Processes, Wiley, New York, 1967.Suche in Google Scholar
14 De Groot, S.R., Mazur, P., Non-Equilibrium Thermodynamics, North-Holland, Amsterdam, 1962.Suche in Google Scholar
15 Cattaneo, C., Sur une forme de l'equation de la chaleur é liminant le paradoxe de la propagation instantanée, C.R. Acad. Sc. Paris, 247 (1958), 431–434.Suche in Google Scholar
16 Valenti, A., Torrisi, M., Lebon, G., Shock waves in crystalline dielectrics at low temperature, J. Phys. Condens. Matter, 14 (2002), 3553–3564.10.1088/0953-8984/14/13/313Suche in Google Scholar
© Walter de Gruyter
Artikel in diesem Heft
- Contents of Volume 29 (2004)
- Analytical Subject Index
- Index of Authors
- Acknowledgement
- Highlight: 8th Joint European Thermodynamics Conference
- The non-equilibrium thermodynamics approach to the dynamics of mesoscopic systems
- Mesoscopic nonequilibrium kinetics of nucleation processes
- About some current frontiers of the second law
- Hydrodynamic stability of binary mixtures in Bénard and thermogravitational cells
- Hydrothermal waves and corotating rolls in laterally heated convection in simple liquids
- Toward a complete description of nucleation and growth in liquid–liquid phase separation
- Interplay between thermodynamics and geometry in the adsorption of non-spherical nanoparticles at liquid/liquid interfaces
- Thermo-diffusion revisited: A comparative approach between two recent thermodynamic formalisms
Artikel in diesem Heft
- Contents of Volume 29 (2004)
- Analytical Subject Index
- Index of Authors
- Acknowledgement
- Highlight: 8th Joint European Thermodynamics Conference
- The non-equilibrium thermodynamics approach to the dynamics of mesoscopic systems
- Mesoscopic nonequilibrium kinetics of nucleation processes
- About some current frontiers of the second law
- Hydrodynamic stability of binary mixtures in Bénard and thermogravitational cells
- Hydrothermal waves and corotating rolls in laterally heated convection in simple liquids
- Toward a complete description of nucleation and growth in liquid–liquid phase separation
- Interplay between thermodynamics and geometry in the adsorption of non-spherical nanoparticles at liquid/liquid interfaces
- Thermo-diffusion revisited: A comparative approach between two recent thermodynamic formalisms