Comparison of dumbell-based theory and experiment for a dilute polymer solution in a corotating two-roll mill

Journal of Rheology

Volumn 43, Issue 1, 1999, Pages 197-218

  Harrison, Graham M ^a   Remmelgas, Johan ^a   Leal, L Gary ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000811984     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.550982     Document Type: Review

References (28)

1. Bird, R. B. and J. R. DeAguiar, "An excapsulated dumbbell model for concentrated polymer solutions and melts. 1. Theoretical development and constitutive equation," J. Non-Newtonian Fluid Mech. 13, 149-160 (1983).
2. Brandrup, J. and E. H. Immergut, Eds., Polymer Handbook (Wiley, New York, 1965).
3. Chilcott, M. D. and J. M. Rallison, "Creeping flow of dilute polymer solutions past cylinders and spheres," J. Non-Newtonian Fluid Mech. 29, 381-432 (1988).
4. Chow, A., A. Keller, A. J. Muller, and J. A. Odell, "Entanglements in polymer solutions under elongational flow: A combined study of chain stretching, flow velocimetry, and elongational viscosity," Macromolecules 21, 250-256 (1988).
5. Cohen, A., "A Pade approximant to the inverse Langevin function," Rheol. Acta 30, 270-273 (1991).
6. DeAguiar, J. R., "An encapsulated dumbbell model for concentrated polymer solutions and melts. 2. Calculation of material functions and experimental comparisons," J. Non-Newtonian Fluid Mech. 13, 161-179 (1983).
7. Dunlap, P. N. and L. G. Leal, "Dilute polystyrene solutions in extensional flow: Birefringence and flow modification," J. Non-Newtonian Fluid Mech. 23, 5-48 (1987).
8. Farrell, C. J., A. Keller, M. J. Miles, and D. P. Pope, "Conformational relaxation time in polymer solutions by elongational flow experiments: 1. Determination of extensional relaxation time and its molecular weight dependence," Polymer 21, 1292-1294 (1980).
9. Fuller, G. G. and L. G. Leal, "Flow birefringence of dilute polymer solutions in two-dimensional flow," Rheol. Acta 19, 580-600 (1980).
10. effroy, E. and L. G. Leal, "Flow birefringence studies in transient flows of a two-roll mill for the test-fluid M1," J. Non-Newtonian Fluid Mech. 35, 361-400 (1990).
11. Geffroy, E. and L. G. Leal, "Flow birefringence studies of a concentrated polystyrene solution in a two-roll mill. 1. Steady flow and start-up of steady flow," J. Polym. Sci., Part B: Polym. Phys. 30, 1329-1349 (1992).
12. Harrison, G. M., J. Remmelgas, and L. G. Leal, "The dynamics of ultradilute polymer solutions in transient flow: Comparison of dumbbell-based theory and experiment," J. Rheol. 42, 1029-1058 (1998).
13. Hess, W., "Molecular theory for moderately concentrated polymer solutions in shear flow," Rheol. Acta 23, 477-488 (1984).
14. Hudson, N. E. and T. E. R. Jones, "The A1 project-an overview," J. Non-Newtonian Fluid Mech. 46, 69-88 (1993).
15. Ng, R. C. Y. and L. G. Leal, "Concentration effects on birefringence and flow modification of semidilute polymer solutions in extensional flows," J. Rheol. 37, 443-468 (1993).
16. Orr, N. V. and T. Sridhar, "Stress relaxation in uniaxial extension," J. Non-Newtonian Fluid Mech. 67, 77-103 (1996).
17. Perkins, T. T., D. E. Smith, and S. Chu, "Single polymer dynamics in an elongational flow," Science 276, 2016-2021 (1997).
18. Peterlin, A., "Streaming birefringence of soft linear macromolecules with finite chain length," Polymer 2, 257-264 (1961).
19. Quinzani, L. M., G. H. McKinley, R. A. Brown, and R. C. Armstrong, "Modeling the rheology of polyisobutylene solutions," J. Rheol. 34, 705-748 (1990).
20. Satrape, J. V. and M. J. Crochet, "Numerical simulation of the motion of a sphere in a Boger fluid," J. Non-Newtonian Fluid Mech. 55, 91-111 (1994).
21. Schneggenburger, C., M. Kroger, and S. Hess, "An extended FENE dumbbell theory for concentration dependent shear-induced anisotropy in dilute polymer solutions," J. Non-Newtonian Fluid Mech. 62, 235-251 (1996).
22. Singh, P. and L. G. Leal, "Computational studies of the FENE dumbbell model in a co-rotating two-roll mill," J. Rheol. 38, 485-517 (1994).
23. Singh, P. and L. G. Leal, "Computational studies of the FENE dumbbell model with conformation-dependent friction in a co-rotating two-roll mill," J. Non-Newtonian Fluid Mech. 67, 137-178 (1996).
24. Sridhar, T., "An overview of the project M1," J. Non-Newtonian Fluid Mech. 35, 85-92 (1990).
25. Tirtaatmadja, V. and T. Sridhar, "Comparison of constitutive equations for polymer solutions in uniaxial extension," J. Rheol. 39, 1133-1160 (1995).
26. Wang, J. J., D. Yavich, and L. G. Leal, "Time-resolved velocity gradient and optical anisotropy in linear flow by photon correlation spectroscopy," Phys. Fluids 6, 3519-3534 (1994).
27. Warner, H. R., "Kinetic theory and rheology of dilute suspensions of finitely extendible dumbbells," Ind. Eng. Chem. Fundam. 11, 379-387 (1972).
28. Zebrowski, B. E. and G. G. Fuller, "Rheo-optical studies of concentrated polystyrene solutions subjected to transient simple shear flow," J. Polym. Sci., Polym. Phys. Ed. 23, 575-589 (1985).