Thermodynamically admissible reptation models with anistropic tube cross sections and convective constraint release

Journal of Non-Newtonian Fluid Mechanics

Volumn 89, Issue 1-2, 2000, Pages 165-185

  Öttinger, Hans Christian ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Anisotropic tube cross sections; Convective constraint release; GENERIC; Independent alignment; Life span distribution; Reptation; Thermodynamic admissibility

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; HEAT CONVECTION; MATHEMATICAL MODELS; MOLTEN MATERIALS; PIPE FLOW; SHEAR FLOW; SHEAR STRESS; STRAIN; VISCOELASTICITY;

CONVECTIVE CONSTRAINT RELEASE; DOUBLE-STEP SHEAR STRAIN; THERMODYNAMICALLY ADMISSIBLE REPTATION MODELS;

POLYMERS;

THERMODYNAMICS;

EID: 0034652504     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(99)00025-7     Document Type: Article

References (60)

1. de Gennes P.G. J. Chem. Phys. 55:1971;572.
2. M. Doi, S.F. Edwards, J. Chem. Soc., Faraday Trans. II, 74 (1978) 1789, 1802, 1818.
3. M. Doi, S.F. Edwards, The Theory of Polymer Dynamics, Clarendon, Oxford, 1986.
4. C.F. Curtiss, R.B. Bird, J. Chem. Phys. 74 (1981) 2016, 2026.
5. Bird R.B., Saab H.H., Curtiss C.F. J. Phys. Chem. 86:1982;1102.
6. Bird R.B., Saab H.H., Curtiss C.F. J. Chem. Phys. 77:1982;4747.
7. R.B. Bird, C.F. Curtiss, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. 2, Kinetic Theory, Wiley-Interscience, New York, 2nd edn., 1987.
8. Osaki K., Kurata M. Macromolecules. 13:1980;671.
9. Osaki K., Kimura S., Kurata M. J. Rheol. 25:1981;549.
10. Venerus D.C., Kahvand H. J. Polym. Sci.: Polym. Phys. 32:1994;1531.
11. Brown E.F., Burghardt W.R. J. Rheol. 40:1996;37.
12. Doi M. J. Polym. Sci.: Polym. Phys. 18:1980;1891.
13. Doi M. J. Polym. Sci.: Polym. Phys. 18:1980;2055.
14. Marrucci G., Grizzuti N. J. Non-Newtonian Fluid Mech. 21:1986;319.
15. Marrucci G. J. Non-Newtonian Fluid Mech. 21:1986;329.
16. Doi M. J. Polym. Sci.: Polym. Phys. 21:1983;667.
17. Ketzmerick R., Öttinger H.C. Continuum Mech. Thermodyn. 1:1989;113.
18. O'Connor N.P.T., Ball R.C. Macromolecules. 25:1992;5677.
19. Tuminello W.H. Polym. Eng. Sci. 26:1986;1339.
20. Tsenoglou C. ACS Polym. Preprints. 28:1987;185.
21. des Cloizeaux J. Europhys. Lett. 5:1988;437.
22. des Cloizeaux J. Macromolecules. 23:1990;3992.
23. Marrucci G. J. Non-Newtonian Fluid Mech. 62:1996;279.
24. Ianniruberto G., Marrucci G. J. Non-Newtonian Fluid Mech. 65:1996;241.
25. Ianniruberto G., Marrucci G. J. Non-Newtonian Fluid Mech. 79:1998;225.
26. Marrucci G., Ianniruberto G. J. Non-Newtonian Fluid Mech. 82:1999;275.
27. Hua C.C., Schieber J.D., Andrews N.C. Rheol. Acta. 36:1997;544.
28. Hua C.C., Schieber J.D. J. Chem. Phys. 109:1998;10018.
29. Hua C.C., Schieber J.D., Venerus D.C. J. Chem. Phys. 109:1998;10028.
30. C.C. Hua, J.D. Schieber, D.C. Venerus, Segment connectivity, chain-length breathing, segmental stretch, and constraint release in reptation models III. Shear flows.
31. Mead D.W., Larson R.G., Doi M. Macromolecules. 31:1998;7895.
32. Öttinger H.C., Grmela M. Phys. Rev. E. 56:1997;6633.
33. Öttinger H.C., Beris A.N. J. Chem. Phys. 110:1999;6593.
34. Feigl K., Öttinger H.C. Macromol. Symp. 121:1997;187.
35. Feigl K., Öttinger H.C. J. Chem. Phys. 109:1998;815.
36. Marrucci G., Grizzuti N. Gazzetta Chimica Italiana. 118:1988;179.
37. Geurts B.J., Jongschaap R.J.J. J. Rheol. 32:1988;353.
38. Geurts B.J. J. Non-Newtonian Fluid Mech. 28:1988;319.
39. Pearson D.S., Herbolzheimer E., Grizzuti N., Marrucci G. J. Polym. Sci.: Polym. Phys. 29:1991;1589.
40. Mead D.W., Leal L.G. Rheol. Acta. 34:1995;339.
41. Mead D.W., Yavich D., Leal L.G. Rheol. Acta. 34:1995;360.
42. Archer L.A., Mhetar V.R. Rheol. Acta. 37:1998;170.
43. H.C. Öttinger, Stochastic Processes in Polymeric Fluids, Tools and Examples for Developing Simulation Algorithms, Springer, Berlin, 1996.
44. A.N. Beris, B.J. Edwards, Thermodynamics of Flowing Systems with Internal Microstructure, Oxford University Press, New York, 1994.
45. Grmela M., Öttinger H.C. Phys. Rev. E. 56:1997;6620.
46. Wagner M.H., Bastian H., Ehrecke P., Kraft M., Hachmann P., Meissner J. J. Non-Newtonian Fluid Mech. 79:1998;283.
47. J.D. Schieber, private communication.
48. Wagner M.H., Schaeffer J. J. Rheol. 36:1992;1.
49. Viovy J.L. J. Physique. 46:1985;847.
50. Öttinger H.C. Phys. Rev. E. 50:1994;4891.
51. Öttinger H.C. J. Chem. Phys. 91:1989;6455.
52. Öttinger H.C. J. Chem. Phys. 92:1990;4540.
53. H.C. Öttinger, in: R.J. Roe (Ed.), Computer Simulation of Polymers, Prentice-Hall, Englewood Cliffs, 1991, Chap. 14.
54. Laso M., Öttinger H.C. J. Non-Newtonian Fluid Mech. 47:1993;1.
55. Feigl K., Laso M., Öttinger H.C. Macromolecules. 28:1995;3261.
56. Laso M., Picasso M., Öttinger H.C. AIChE J. 43:1997;877.
57. Hulsen M.A., van Heel A.P.G., van den Brule B.H.A.A. J. Non-Newtonian Fluid Mech. 70:1997;79.
58. Öttinger H.C., van den Brule B.H.A.A., Hulsen M.A. J. Non-Newtonian Fluid Mech. 70:1997;225.
59. Petruccione F., Biller P. J. Chem. Phys. 92:1990;6327.
60. Schieber J.D., Öttinger H.C. J. Rheol. 38:1994;1909.