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By Farid F. Abraham

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Chern. Phys. 99 (1993) 3913; J. NonEquilib. Thermodyn. 19 (1994) 170; A. N. Perez-Guerrero and L. S. Garcfa-Colfn, J. Non-Equilib. Thermodyn. 16 (1991) 201; A. N. Perez-Guerrero, J. Non-Equilib. Thermodyn. 22 (1997) 20. 24. R. E. Nettleton, J. Phys. A: Math. Gen. 21 (1988) 1079; 1. Chern. Phys. 99 (1993) 3059. 34 1. 25. M. Silhavy, The Mechanics and Thermodynamics 0/ Continuous Media, Springer, Berlin, 1997. 26. V. Ciancio and J. Verhas, J. Non-Equilib. Thennodyn. 16 (1991) 57; V. Ciancio, L. Restuccia and G.

2 Infonnation Theory S= kB[Nlnz+ ßU + LAiiVP;)' + LLAijVP;;]. 44) This equation is the main result in this section; it gives an explicit expression for a nonequilibrium entropy dependent on the shear stress, and which is not limited to secondorder non-equilibrium contributions, thus providing a generalization of previous results on thermodynamics of fluids under shear stress. 0 Vpt2/ U Fig. 1. Non-equilibrium contribution to the entropy as a function of the ratio V lj;/U. 44) whereas the dashed line corresponds to its second-order approximation in V lj;/U.

Ciancio, L. Restuccia and G. A. Kluitenberg, J. Non-Equilib. Thennodyn. 15 (1990) 157. 27. J. Kestin, J. Non-Equilib. Thennodyn. 15 (1990) 193; 18 (1993) 360; W. Muschik, J. Non-Equilib. Thennodyn. 15 (1990) 127; 18 (1993) 380. 28. R. B. Bird, C. F. Curtiss, R. C. Annstrong and O. Hassager, Dynamies 0/ Polymerie Liquids. Volume 2: Kinetie Theory, Wiley, New York, 1977. 29. M. Gnne1a and H. C. Öttinger, Phys. Rev. E 56 (1997) 6620; H. C. Öttinger and M. Gnne1a, Phys. Rev. E 56 (1997) 6633. 30. M.

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