Effect of long range order on sheared liquid crystalline materials: Part 1: Compatibility between tumbling behavior and fixed anchoring

Journal of Non-Newtonian Fluid Mechanics

Volumn 73, Issue 1-2, 1997, Pages 127-152

  Tsuji, Tomohiro ^a   Rey, Alejandro D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Constitutive equation; Liquid crystalline flow; Long range elasticity; Tumbling behavior

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; CONVERGENCE OF NUMERICAL METHODS; EQUATIONS OF MOTION; LIQUID CRYSTALS; MATHEMATICAL MODELS; OSCILLATIONS; VISCOELASTICITY; VISCOUS FLOW;

CONSTITUTIVE EQUATION; LIQUID CRYSTALLINE FLOW; LONG RANGE ELASTICITY; TUMBLING BEHAVIOR;

SHEAR FLOW;

EID: 0031269102     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(97)00037-2     Document Type: Article

References (32)

1. G. Marrucci, F. Greco, Adv. Chem. Phys., LXXXVI (1993) 331.
2. F.M. Leslie, Rat. Mech. Anal. 28 (1968) 265.
3. F.M. Leslie, Theory of flow phenomena in liquid crystals, Advances in Liquid Crystals, Academic Press, New York, 1979.
4. A.D. Ray, M.M. Denn, J. Non-Newtonian. Fluid Mech. 27 (1988) 375.
5. A.D. Rey, M.M. Denn, Mol. Cryst. Liq. Cryst. 153 (1987) 301.
6. G. Kiss, R.S. Porter, J. Polym. Sci. Polym. Symp. 65 (1978) 193.
7. J.L. Ericksen, Arch. Rat. Mech. Anal. 113 (1991) 97.
8. Y. Farhoudi, A.D. Rey, J. Rheol. 37 (1993) 289.
9. B.J. Edwards, A.N. Beris, M. Grmela, J. Non-Newtonian Fluid Mech. 35 (1990) 51.
10. B.J. Edwards, A.N. Beris, M. Grmela, R.G. Larson, J. Non-Newtonian Fluid Mech. 36 (1990) 243.
11. A.D. Rey, in: A.S. Mujumdar, R.A. Mashelkar (Eds.), Advances in Transport Processes, Vol. IX, Elsevier, Amsterdam, 1993, Chapter 5.
12. M. Doi, J. Polym. Sci., Polym. Phys. Ed. 19 (1981) 229.
13. G. Marrucci, P.L. Maffettone, Macromolecules 22 (1989) 4076.
14. R.G. Larson, H.C. Ottinger, Macromolecules 23 (1990) 3983.
15. P.G. deGennes, The Physics of Liquid Crystals, Clarendon Press, Oxford, 1974.
16. A.D. Rey, Liq. Cryst. 3 (1990) 315.
17. W.H. Han, A.D. Rey, Macromolecules 28 (1995) 8401.
18. P.K. Chan, A.D. Rey, Liq. Cryst. 13 (1993) 775.
19. W.H. Han, A.D. Rey, J. Non-Newtonian Fluid Mech. 50 (1993) 1.
20. W.H. Hand, J. Fluid Mech. 13 (1962) 33.
21. G. Marrucci, Macromolecules 24 (1991) 4176.
22. M.J. Stephen, J.P. Straley, Rev. Mod. Phys. 46 (1974) 617.
23. N.C. Andrews, B.J. Edwards, A.J. McHugh, J. Rheol. 39 (1995) 1161.
24. A.D. Rey, Macromol. Theory Simul. 4 (1995) 857.
25. M. Doi, S.F. Edwards, The Theory of Polymer Dynamics, Clarendon Press, Oxford, 1986.
26. J.D. Murray, Mathematical Biology, 2nd ed., Springer-Verlag, New York, 1993.
27. R.G. Larson, in: P.E. Clasis, P. Palffy-Muhoray (Eds.), Spatio-Temporal Patterns in Nonequilibrium Complex Systems, Addison Wesley, 1995, pp. 219.
28. G.L. Hand, J. Fluid Mech. 13 (1962) 33.
29. J.L. Ericksen, Kolloid Z. 173 (1960) 117.
30. R.G. Larson, Macromolecules 23 (1990) 3983.
31. P. Manneville, Mol. Cryst. Liq. Cryst. 70 (1981) 223.
32. A. Sonnet, A. Kilian, S. Hess, Phys. Rev. E 52 (1995) 718.