Full-tensor alignment criteria for sheared nematic polymers

Journal of Rheology

Volumn 47, Issue 1, 2003, Pages 105-127

  Forest, M Gregory ^a   Zhou, Ruhai ^a   Wang, Q ^b  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

^b FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ASPECT RATIO; ASYMPTOTIC STABILITY; COMPUTER SIMULATION; CRYSTAL ORIENTATION; KINETIC THEORY; MATHEMATICAL MODELS; NEMATIC LIQUID CRYSTALS; PHASE TRANSITIONS; RHEOLOGY; SHEAR STRESS; TENSORS;

CONTINUUM THEORY; NEMATIC POLYMERS;

LIQUID CRYSTAL POLYMERS;

EID: 0037283001     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.1530617     Document Type: Article

References (47)

1. See EPAPS Document No. E-JORHD2-47-009301 for a discussion of full-tensor criteria for sheared nematic polymers. A direct link to this document may be found in the article's HTML reference section. The document may also be retrieved via the EPAP's home page (http://www.aip.org.pubservs.epaps.html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information.
2. Beris, A. N., and B. J. Edwards, Thermodynamics of Flowing Systems with Internal Microstructure (Oxford Science, New York, 1994).
3. Burghardt, W. R., "Molecular orientation and rheology in sheared lyotropic liquid crystalline polymers," Macromol. Chem. Phys. 199, 471-488 (1998).
4. Chaubal, C. V., L. G. Leal, and G. H. Fredrickson, "A comparison of closure approximations for the Doi theory of LCPs," J. Rheol. 39, 73-103, (1995).
5. Chillingworth, D. R. J., E. Vicente Alonso, and A. A. Wheeler, "Geometry and dynamics of a nematic liquid crystal in a uniform shear flow," J. Phys. A 34, 1393-1404 (2001).
6. Cocchini, F., C. Aratari, and G. Marrucci, "Tumbling of rodlike polymers in the liquid-crystalline phase under shear flow," Macromolecules 23, 4446-4451 (1990).
7. de Gennes, P.-G. and J. Prost, The Physics of Liquid Crystals (Oxford University Press, New York, 1993).
8. Doi, M., "Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases," J. Polym. Sci., Polym. Phys. Ed. 19, 229-243 (1981).
9. Doi, M., and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, London, 1986).
10. Ericksen, J. L., "Anisotropic fluids," Arch. Ration. Mech. Anal. 4, 231-237 (1960).
11. Faraoni, V., M. Grosso, S. Grescitelli, and P. L. Maffettone, "The rigid-rod model for nematic polymers: An analysis of the shear flow problem," J. Rheol. 43, 829-843 (1999).
12. Feng, J., G. Sgalari, and G. Leal, "A theory for flowing nematic polymers with orientational distortions," J. Rheol. 44, 1085-1101 (2000).
13. Forest, M. G., and Q. Wang, "Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows," Rheol. Acta (in press).
14. Forest, M. G., Q. Wang, and H. Zhou, "Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows," Phys. Fluids 12, 490-498 (2000).
15. Forest, M. G., Q. Wang, and H. Zhou, "Structure evolution in tumbling and kayaking nematic LCPs between shearing plates," UNC Program in Applied Mathematics Preprint No. PAMPS2002-2 (2002a), available from http://www.amath.unc.edu/PAMPS/.
16. Forest, M. G., Q. Wang, and R. Zhou, "Symmetries of the Doi kinetic theory for nematic polymers of arbitrary aspect ratio: at rest and in linear flows," Phys. Rev. E 66, 031712 (2002b).
17. Forest, M. G., Q. Wang, and R. Zhou, "The weak shear phase diagram for nematic polymers," UNC Program in Applied Mathematics Preprint No. PAMPS2002-16 (2002c), available from http://www.amath.unc.edu/PAMPS/.
18. Forest, M. G., Q. Wang, and R. Zhou, "Explicit flow-aligned orientational distribution functions for dilute nematic polymers in weak shear," UNC Program in Applied Mathematics Preprint No. PAMPS2002-26 (2002d), available from http://www.amath.unc.edu/PAMPS/.
19. Fuller, G. G., Optical Rheometry of Complex Fluids (Oxford University Press, Oxford, 1995).
20. Fuller, G. G., Optical Rheometry of Complex Fluids (Oxford University Press, Oxford, 1995).
21. Grecov, D., and A. Rey, "Theoretical and computational rheology for discotic nematic liquid crystals," Mol. Cryst. Liq. Cryst. (in press).
22. Hess, S., "Fokker-Planck-equation approach to flow alignment in liquid crystals," Z. Naturforsch. Teil A 31A, 1034 (1976).
23. Hinch, E. J., and L. G. Leal, "Constitutive equations in suspension mechanics, part 2, Approximate forms for a suspension of rigid particles affected by Browian rotations," J. Fluid Mech. 76, 187-208 (1976).
24. Kuzuu, N., and M. J. Doi, "Constitutive equation for nematic liquid crystals under weak velocity gradient derived from a molecular kinetic equation," J. Phys. Soc. Jpn. 52, 3486-3494 (1983).
25. Kuzuu, N., and M. J. Doi, "Constitutive equation for nematic liquid crystals under weak velocity gradient derived from a molecular kinetic equation, II. Leslie coefficients rodlike polymers," J. Phys. Soc. Jpn. 53, 1031-1040 (1984).
26. Landau, L. D., in Collected Papers, edited by S. Kranse (Gordon and Breach, New York, 1965), p. 193.
27. Larson, R. G., "Arrested tumbling in shearing flows of liquid crystal polymers," Macromolecules 23, 3983-3992 (1990).
28. Larson, R. G., Rheology of Complex Fluids (Oxford University Press, New York, 1998).
29. Larson, R. G., and H. Ottinger, "The effect of molecular elasticity on out-of-plane orientations in shearing flows of liquid crystalline polymers," Macromolecules 24, 6270-6282 (1991).
30. Leslie, F. M., "Some constitutive equations for liquid crystals," Arch. Ration. Mech. Anal. 28, 265-283 (1968).
31. Maffettone, P. L., A. M. Sonnet, and E. G. Virga, "Shear-induced biaxiality in nematic polymers," J. Non-Newtonian Fluid Mech. 90, 283-297 (2000).
32. Marrucci, G., and N. Grizzuti, Paper presented at the 59th Annual Meeting of the Society of Rheology, Atlanta, GA, October 1987.
33. Marrucci, C., "Tumbling regime of liquid crystalline polymers," Macromolecules 24, 4176-4182 (1991).
34. Marrucci, G., and F. Greco, "The elastic constants of Maier-Saupe rodlike molecular nematics," Mol. Cryst. Liq. Cryst. 206, 17-30 (1991).
35. Marrucci, G., and F. Greco, "Flow behavior of liquid crystalline polymers," Adv. Chem. Phys. 86, 331-404 (1993).
36. Marrucci, G., and P. L. Maffettone, "Description for the liquid crystalline phase of rodlike polymers at high shear rates," Macromolecules 22, 4076-4082 (1989).
37. Mather, P. T., D. S. Pearson, and R. G. Larson, "Flow patterns and disclination-density measurements in sheared nematic liquid crystals, I. Flow-aligning 5CB," Liq. Cryst. 20, 527-538 (1996a).
38. Mather, P. T., D. S. Pearson, and R. G. Larson, "Flow patterns and disclination-density measurements in sheared nematic liquid crystals, II. Tumbling 8CB," Liq. Cryst. 20, 539-546 (1996b).
39. Mewis, J., M. Mortier, J. Vermant, and P. Moldenaers, "Experimental evidence for the existence of a wagging regime in polymeric liquid crystals," Macromolecules 30, 1323-1328 (1997).
40. Moldenaers, P., and J. Mewis, "On the nature of viscoelasticity in polymeric liquid crystals," J. Rheol. 37, 367-380 (1993).
41. Rienacker, G., and S. Hess, "Orientational dynamics of nematic liquid crystals under shear flow," Physica A 267, 294-321 (1999).
42. Tsuji, T., and A. D. Rey, "Effect of long range order on sheared liquid crystalline polymers, Part 1: Compatibility between tumbling behavior and fixed anchoring," J. Non-Newtonian Fluid Mech. 73, 127-152 (1997).
43. Ugaz, V. M., R. Burghardt, W. Zhou, and J. A. Kornfield, "Transient molecular orientation and rheology in flow aligning thermotropic liquid crystalline polymers," J. Rheol. 45, 1029-1062 (2001).
44. Van Horn, B. L., and H. H. Winter, "Dynamics of shear aligning of nematic liquid crystal monodomains," Rheol. Acta 39, 294-300 (2000).
45. Wang, Q., "Biaxial steady states and their stability in shear flows of liquid crystal polymers," J. Rheol. 41, 943-970 (1997).
46. Wang, Q., "A hydrodynamic theory for solutions of nonhomogeneous nematic liquid crystalline polymers of different configuration," J. Chem. Phys. 116, 9120-9136 (2002).
47. Zhou, W. J., J. Kornfield, and W. Burghardt, "Shear alignment properties of a main chain thermotropic liquid crystalline polymer," Macromolecules 34, 3654-3660 (2001).