Effects of elastic anisotropy on the flow and orientation of sheared nematic liquid crystals

Journal of Rheology

Volumn 47, Issue 4, 2003, Pages 1051-1070

  Tao, Jianjun ^a,b   Feng, James J ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

^b LMSI CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; ELASTICITY; FINITE DIFFERENCE METHOD; NUCLEATION; SHEAR FLOW; TEXTURES;

ELASTIC ANISOTROPY; ELASTIC CONSTANTS; ORIENTATION PATTERNS; ROLL CELLS;

NEMATIC LIQUID CRYSTALS;

EID: 0042196174     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.1584429     Document Type: Article

References (36)

1. Burghart, W. R., and G. G. Fuller, "Transient shear flow of nematic liquid crystals: manifestations of director tumbling," J. Rheol. 34, 959-992 (1990).
2. Chen, C. C., A. Labhabi, H.-C. Chang, and R. E. Kelly, "Spanwise pairing of finite-amplitude longitudinal vortex rolls in inclined free-convection boundary layers," J. Fluid Mech. 231, 73-111 (1991).
3. Chono, S., T. Tsuji, and M. M. Denn, "Spatial development of director orientation of tumbling nematic liquid crystals in pressure-driven channel flows," J. Non-Newtonian Fluid Mech. 79, 515-527 (1998).
4. Chuang, I., N. Turok, and B. Yurke, "Late-time coarsening dynamics in a nematic liquid crystal," Phys. Rev. Lett. 66, 2472-2476 (1991).
5. Cladis, P. E., and M. Kléman, "Non-singular disclinations of strength S = +1 in nematics," J. Phys. (Paris) 33, 591-598 (1972).
6. Colby, R. H., L. M. Nentwich, S. R. Clingman, and C. K. Ober, "Defect-mediated creep of structured materials," Europhys. Lett. 54, 269-274 (2001).
7. Coles, D., "Transition in circular Couette flow," J. Fluid Mech. 21, 385-425 (1965).
8. 11 determination in nematic liquid crystals: ad optical birefringence technique," Appl. Phys. Lett. 60, 3226-3228 (1992).
9. de Gennes, P. G., and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Oxford University Press, Oxford, 1993).
10. Elias, F., S. M. Clarke, R. Peck, and E. M. Terentjev, "Equilibrium textures in main-chain liquid crystalline polymers," Europhys. Lett. 47, 442-448 (1999).
11. Feng, J. J., G. Sgalari, and L. G. Leal, "A theory for flowing nematic polymer with orientational distortion," J. Rheol. 44, 1085-1101 (2000).
12. Feng, J., and L. G. Leal, "Pressure-driven channel flows of a model liquid-crystalline polymer," Phys. Fluids 11, 2821-2835 (1999).
13. Feng, J. J., J. Tao, and L. G. Leal, "Roll cells and disclinations in sheared nematic polymers," J. Fluid Mech. 449, 179-200 (2001).
14. Han, W. H., and A. D. Rey, "Simulation and validation of nonplanar nematorheology," J. Rheol. 38, 1317-1334 (1994).
15. Han, W. H., and A. D. Rey, "Theory and simulation of optical banded textures of nematic polymers during shear flow," Macromolecules 28, 8401-8405 (1995).
16. Hongladarom, K., W. R. Burghardt, S. G. Baek, S. Cementwala, and J. J. Magda, "Molecular alignment of polymer liquid crystals in shear flows. 1. Spectrographic birefringence technique, steady-state orientation, and normal stress behavior in poly(benzyl glutamate) solutions," Macromolecules 26, 772-784 (1993).
17. Hudson, S. D., J. W. Fleming, E. Gholz, and E. L. Thomas, "Disclination core structure in rigid and semiflexible main-chains polymer nematic liquid crystals," Macromolecules 26, 1270-1276 (1993).
18. Hudson, S. D., and E. L. Thomas, "Frank elastic-constant anisotropy measured from transmission-electron-microscope images of disclinations," Phys. Rev. Lett. 62, 1993-1996 (1989).
19. Kléman, M., Points, Lines, and Walls in Liquid Crystals, Magnetic Systems and Ordered Media (Wiley, New York, 1988).
20. Kupferman, R., M. N. Kawaguchi, and M. M. Denn, "Emergence of structure in a model of liquid crystalline polymers with elastic coupling," J. Non-Newtonian Fluid Mech. 91, 255-271 (2000).
21. Larson, R. G., "Roll-cell instabilities in shearing flows of nematic polymers," J. Rheol. 37, 175-197 (1993).
22. Larson, R. G., and D. W. Mead, "Development of orientation and texture during shearing of liquid-crystalline polymers," Liq. Cryst. 12, 751-768 (1992).
23. Larson, R. G., and D. W. Mead, "The Ericksen number and Deborah number cascades in sheared polymeric nematics," Liq. Cryst. 15, 151-169 (1993); Corrigendum: 20, 265 (1996).
24. Manneville, P., and E. Dubois-Violette, "Shear flow instability in sheared nematic liquids: Theory steady simple shear flows," J. Phys. (Paris) 37, 285-296 (1976).
25. 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).
26. 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).
27. Rey, A. D., and M. M. Denn, "Dynamic phenomena in liquid-crystalline materials," Annu. Rev. Fluid Mech. 34, 233-266 (2002).
28. Rey, A. D., and T. Tsuji, "Recent advances in theoretical liquid crystal rheology," Macromol. Theory Simul. 7, 623-639 (1998).
29. Sangalli, M., C. T. Gallagher, D. T. Leighton, H.-C. Chang, and M. J. McCready, "Finite amplitude wave evolution at the interface between two viscous fluids: theory and experiments," Phys. Rev. Lett. 75, 77-80 (1995).
30. Sangalli, M., M. J. McCready, and H.-C. Chang, "Stabilization mechanisms of short waves in stratified gas-liquid flow," Phys. Fluids 9, 919-939 (1997).
31. Sgalari, G., L. G. Leal, and J. J. Feng, "The shear flow behavior of LCPs based on a generalized Doi model with distortional elasticity," J. Non-Newtonian Fluid Mech. 102, 361-382 (2002).
32. Shaqfeh, E. S. G., "Fully elastic instabilities in viscometric flows," Annu. Rev. Fluid Mech. 28, 129-185 (1996).
33. Sparrow, E. M., and R. B. Husar, "Longitudinal vortices in natural convection flow on inclined surfaces," J. Fluid Mech. 37, 251-255 (1969).
34. Suen, J. K., Y. L. Joo, and R. C. Armstrong, "Molecular orientation effects in viscoelasticity," Annu. Rev. Fluid Mech. 34, 417-444 (2002).
35. Wang, Q., "A hydrodynamic theory for solutions of nonhomogeneous nematic liquid crystalline polymers of different configurations," J. Chem. Phys. 116, 9120-9136 (2002).
36. Wang, W., T. Hashimoto, G. Lieser, and G. Wegner, "Elastic constant anisotropy, core structure of wedge disclinations and optical texture of main-chain P-4-BCMU liquid crystals," J. Polym. Sci., Part B: Polym. Phys. 32, 2171-2186 (1994).