Application of diffusive internal variables in complex fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 96, Issue 1-2, 2001, Pages 31-43

  Drouot, R ^a,b   Maugin, G A ^b  

^a LABORATOIRE DES SCIENCES DU CLIMAT ET DE L ENVIRONNEMENT   (France)

^b INSTITUT JEAN LE ROND D ALEMBERT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; ENTROPY; MICROSTRUCTURE; THERMAL DIFFUSION IN SOLIDS; THERMODYNAMIC STABILITY;

EVOLUTION-DIFFUSION EQUATIONS;

NON NEWTONIAN FLOW;

DIFFUSION; FLUID MECHANICS; RHEOLOGY; THERMODYNAMICS;

EID: 0034745511     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(00)00133-6     Document Type: Article

References (25)

1. D. Aussere, J.E. Edwards, J. Lecourtier, E. Hervé, F. Rondelez, Hydrodynamic thickening of depletion in layers of colloidal solutions, Europhys. Lett. 14 (1) (1991) 33-38.
2. R. Drouot, M. Berrajaa, A thermodynamical approach of wall effects on the rheology of dilute polymer solutions, Int. J. Eng. Sci. 31 (1993) 1463-1473.
3. R. Drouot, M. Berrajaa, Wall effects for dilute polymer solutions in Poiseuille flow, Int. J. Eng. Sci. 34 (1996) 1101-1109.
4. A.C. Eringen, G.A. Maugin, Electrodynamics of Continua, Vol. 2, Springer, New York, 1990.
5. P. Germain, Cours de Mécanique (Ecole Polytechnique), Vol. I, Editions Ellipse, Paris, 1986.
6. S. Hess, Irreversible thermodynamics of non-equilibrium alignment phenomena in molecular liquids and in liquid crystals, Z. Naturforschg. 30a (1975) 728-738, 1224.
7. S. Hess, Transport phenomena in anisotropic fluids and liquid crystals, J. Non-Equilib. Thermodyn. 11 (1986) 175-193.
8. S. Hess, H.-M. Koo, Boundary effects on the flow-induced orientational anisotropy and the flow properties of a molecular liquid, J. Non-Equilib. Thermodyn. 14 (1989) 159-172.
9. S. Hess, I. Pardowitz, On the unified theory for non-equilibrium phenomena in the isotropic and nematic phases of a liquid crystal spatially; inhomogeneous alignment, Z. Naturforschg. 36a (1981) 554-558.
10. J. Kestin, Internal variables in the local-equilibrium approximation, in: W. Muschik, G.A. Maugin (Eds.), Nonlinear Thermodynamical Processes in Continua, TUB-Dokumentation Kongresse und Tagungen, Vol. 61, Heft, Berlin, 1992, pp. 13-44.
11. D. Kondepudi, I. Prigogine, Modern Thermodynamics, Wiley, Chichester, UK, 1998.
12. D. Lhuillier, Phenomenology of polymer migration, J. Physique (Paris) 44 (1983) 303-309.
13. D. Lhuillier, A. Ouibrahim, A thermodynamical model for solutions of deformable macromolecules, J. Mécanique (Paris) 19 (1980) 1-17.
14. G.A. Maugin, Nonlocal theories or gradient-type theories: a matter of convenience? Arch. Mech. (Warsaw) 31 (1979) 15-26.
15. G.A. Maugin, Vectorial internal variables in magnetoelasticity, J. Mécanique (Paris) 18 (1979) 541-563.
16. G.A. Maugin, Internal variables and dissipative structures, J. Non-Equilib. Thermodyn. 15 (1990) 173-192.
17. G.A. Maugin, Thermomechanics of Nonlinear Irreversible Behaviors: An Introduction, World Scientific, Singapore, 1999.
18. G.A. Maugin, R. Drouot, Internal variables and the thermodynamics of macromolecule solutions, Int. J. Eng. Sci. 21 (1983) 705-724.
19. G.A. Maugin, R. Drouot, Thermodynamic modelling of polymers in solutions, in: D.R. Axelrad, W. Muschik (Eds.), Constitutive Laws and Microstructure, Springer, Berlin, 1988, pp. 136-161.
20. G.A. Maugin, R. Drouot, Non-equilibrium thermodynamics of solutions of macromolecules, in: P. Salamon, S. Sieniutycz (Eds.), Non-Equilibrium Thermodynamics: Extended Thermodynamics, Vol. 7, Taylor and Francis, New York, 1991, pp. 53-76.
21. G.A. Maugin, W. Muschik, Thermodynamics with internal variables I and II, J. Non-Equilib. Thermodyn. 19 (1994) 217-289.
22. G.A. Maugin, J. Pouget, R. Drouot, B. Collet, Nonlinear Electromechanical Couplings, Wiley, New York, 1992.
23. H. Müller-Mohnsen, D. Weiss, A. Tippe, Concentration dependent changes of apparent slip in polymer solution flow, J. Rheol. 34 (1990) 223-244.
24. C. Truesdell, Rational Thermodynamics, 2nd revised and enlarged Edition, Springer, New York, 1986.
25. L. Waldman, Non-equilibrium thermodynamics of boundary conditions, Z. Naturforschg. 22a (1967) 1269-1286.