Thermodynamics of viscoelastic fluids: The temperature equation

Journal of Rheology

Volumn 42, Issue 5, 1998, Pages 999-1019

  Wapperom, Peter ^a,b   Hulsen, Martien A ^b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011380281     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.550922     Document Type: Article

References (36)

1. Astarita, G. and G. C. Sarti, "The dissipative mechanism in flowing polymers: Theory and experiments," J. Non-Newtonian Fluid Mech. 1, 39-50 (1976).
2. Bird, R. B., W. E. Stewart, and E. N. Lightfoot, Transport Phemonena (Wiley, New York, 1960).
3. Braun, H., "A model for the thermorheological behavior of viscoelastic fluids," Rheol. Acta 30, 523-529 (1991).
4. Bush, M. B., "Prediction of polymer melt extrudate swell using a differential constitutive equation," J. Non-Newtonian Fluid Mech. 31, 179-191 (1989).
5. Carreau, P. J. and M. Grmela, "Conformation tensor rheological models," Lect. Notes Phys. 381, 126-157 (1991).
6. Choy, C. L., E. L. Ong, and F. C. Chen, "Thermal diffusivity and conductivity of crystalline polymers," J. Appl. Polym. Sci. 25, 2325-2335 (1981).
7. de Groot, S. R. and P. Mazur. Non-equilibrium Thermodynamics (Dover, New York, 1984).
8. Ferry, J. D. Viscoelastic Properties of Polymers, 2nd ed. (Wiley, New York, 1981).
9. Flaman, T. A. M. and B. Veltman, "Injection moulding experiments, a challenge to numerical simulation programs," Rheol. Acta 26, 129-131 (1988).
10. Godovsky, Y. K. Thermophysical Properties of Polymers (Springer, Berlin, 1992).
11. Grmela, M. and P. J. Carreau, "Conformation tensor rheological models," J. Non-Newtonian Fluid Mech. 23, 271-294 (1987).
12. Gupta, R. K. and A. B. Metzner, "Modelling of nonisothermal polymer processes," J. Rheol. 26, 181-198 (1982).
13. Hellwege, K. H., J. Hennig, and W. Knappe, "Anisotropie der Wärmeausdehnung und Wärmeleitung in einachsig verstreckten amorphen Hochpolymeren," Kolloid Z. Z. Polym. 188, 121-127 (1963).
14. Hulsen, M. A., "A sufficient condition for a positive definite configuration tensor in differential models," J. Non-Newtonian Fluid Mech. 38, 93-100 (1990).
15. Jongschaap, R. J. J., K. H. de Haas, and C. A. J. Damen, "A generic matrix representation of configuration tensor rheological models," J. Rheol. 38, 769-796 (1994).
16. Kadijk, S. E. and B. H. A. A. van den Brule, "On the pressure dependence of the viscosity of molten polymers," Polym. Eng. Sci. 34, 1535-1546 (1994).
17. Kuiken, G. D. C., Thermodynamics of Irreversible Processes (Wiley, Chichester, U.K., 1994).
18. Larson, R. G., Constitutive Equations for Polymer Melts and Solutions (Butterworths, Boston, 1988).
19. Leonov, A. I., "Non-equilibrium thermodynamics and rheology of viscoelastic polymer media," Rheol. Acta 15, 85-98 (1976).
20. Leonov, A. I., "On a class of constitutive equations for viscoelastic fluids," J. Non-Newtonian Fluid Mech. 25, 1-59 (1987).
21. Leonov, A. I., "Analysis of simple constitutive equations for viscoelastic fluids," J. Non-Newtonian Fluid Mech. 42, 323-350 (1992).
22. Mark, J. E., "Thermoelastic properties of rubberlike networks and their thermodynamic and molecular interpretation," Rubber Chem. Technol. 46, 593-618 (1973).
23. Mark, J. E., "Thermoelastic results on rubberlike networks and their bearing on the foundations of elasticity theory," J. Polym. Sci., Part D: Macromol. Rev. 11, 135-159 (1976).
24. Peters, G. W. M., in "Thermorheological Modelling of Viscoelastic Materials," Numerical Simulation of Nonisothermal Flow of Viscoelastic Liquids, edited by J. F. Dijksman and G. D. C. Kuiken (Kluwer, Dordrecht, 1996), pp. 21-35.
25. Sarti, G. C. and N. Esposito, "Testing thermodynamic constitutive equations for polymers by adiabatic deformation experiments," J. Non-Newtonian Fluid Mech. 3, 65-76 (1977/1978).
26. Shen, M. and M. Croucher, "Contribution of internal energy to the elasticity of rubberlike materials," J. Macromol. Sci. Rev. Macromol. Chem. C 12, 287-329 (1975).
27. Tanner, R. I., Engineering Rheology (Clarendon, Oxford, 1985).
28. Thiele, J. L. and R. E. Cohen, "Thermal expansion phenomena in filled and unfilled natural rubbers vulcanizates," Rubber Chem. Technol. 53, 313-320 (1980).
29. Tobolsky, A. V. and M. Shen, "Thermoelasticity, chain conformation, and the equation of state for rubber networks," J. Appl. Phys. 37, 1952-1955 (1966).
30. Treloar, L., Physics of Rubber Elasticity (Oxford University Press, Oxford, 1975).
31. van den Brule, B. H. A. A., "The non-isothermal elastic dumbbell: A model for the thermal conductivity of a polymer solution," Rheol. Acta 29, 416-422 (1990).
32. van Krevelen, D. W. and P. J. Hoftyzer, Properties of Polymers (Elsevier, Amsterdam, 1976).
33. Wallace, D. J., C. Moreland, and J. J. C. Picot, "Shear dependence of thermal conductivity in polyethylene melts," Polym. Eng. Sci. 25, 70-74 (1985).
34. Wapperom, P., "Nonisothermal flows of viscoelastic fluids: Thermodynamics, analysis and numerical simulation," Ph.D. thesis, Delft University of Technology (1996).
35. Wapperom, P. and M. A. Hulsen, "A lower bound for the invariants of the configuration tensor for some well-known differential models," J. Non-Newtonian Fluid Mech. 60, 349-355 (1995).
36. Wedgewood, L. E. and R. B. Bird, "From molecular models to the solution of flow problems," Ind. Eng. Chem. Res. 27, 1313-1320 (1988).