[en] 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 nonviscous fluids.
Disciplines :
Mechanical engineering Physics
Author, co-author :
Lebon, Georgy ; Université de Liège - ULiège > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences)
Desaive, Thomas ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles
Colinet, P.
Language :
English
Title :
Thermo-diffusion revisited: A comparative approach between two recent thermodynamic formalisms
Beris, A., Edwards, B., (1994) Thermodynamics of Flowing Fluids with Internal Microstructure, , Oxford Univ. Press, Washington
Jou, D., Casas-Vazquez, J., Lebon, G., Extended irreversible thermodynamics revisited 1988-1998 (1999) Rep. Prog. Phys., 62, pp. 1005-1142
Lebon, G., Jou, D., Casas-Vazquez, J., Questions and answers about a thermodynamic theory of the third type (1992) Contemporary Physics, 33, pp. 41-51
Hutter, C., The foundations of thermodynamics, its basic postulates and implications. A review of modern thermodynamics (1977) Acta Mechanica, 27, pp. 1-54
Grmela, M., Lebon, G., Lhuillier, D., A comparative study of the coupling of flow with non-fickean thermo-diffusion, parts I, II and III (2003) J. Non-equilib. Thermodyn., 28, pp. 1-22
Grmela, M., Ottinger, H.C., Dynamics and thermodynamics of complex fluids, parts I and II (1996) Phys. Rev. E, 56, pp. 6620-6655
Edwards, B., Ottinger, H.C., Jongschaap, R., On the relationship between thermo-dynamic formalisms for complex fluids (1992) J. Non-equilib. Thermodyn., 22, pp. 356-373
Grmela, M., Bracket formulation of diffusion-convection equations (1986) Physica D, 21, pp. 179-202
Grmela, M., Complex fluids subjected to external influences (2001) J. Non-newtonian Fluid Mech., 96, pp. 221-254
Onsager, L., Reciprocal relations in irreversible processes (1931) Phys. Rev., 37, pp. 405-426
(1931) Phys. Rev., 38, pp. 2265-2279
Prigogine, I., (1967) Thermodynamics of Irreversible Processes, , Wiley, New York
Cattaneo, C., Sur une forme de l'equation de la chaleur éliminant le paradoxe de la propagation instantanée (1958) C.R. Acad. Sc. Paris, 247, pp. 431-434
Valenti, A., Torrisi, M., Lebon, G., Shock waves in crystalline dielectrics at low temperature (2002) J. Phys. Condens. Matter, 14, pp. 3553-3564