Near-equilibrium dynamics of Dio models for liquid crystal polymer flows: Catastrophic and regularized behavior

Journal of Non-Newtonian Fluid Mechanics

Volumn 83, Issue 1-2, 1999, Pages 131-150

  Forest, M Gregory ^a   Wang, Qi ^b  

^a University of North Carolina at Chapel Hill   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Flow stability; Ill posedness; Liquid crystals; Non Newtonian flows

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FLUID STRUCTURE INTERACTION; HYDRODYNAMICS; NEMATIC LIQUID CRYSTALS; NON NEWTONIAN FLOW; NUMERICAL METHODS; STABILITY; VISCOSITY OF LIQUIDS;

DOI NEMATODYNAMIC EQUATIONS; FLOW STABILITY; ILL POSEDNESS; QUADRATIC CLOSURE APPROXIMATION;

LIQUID CRYSTAL POLYMERS;

FLOW STABILITY; MATHEMATICAL MODELING; NON-NEWTONIAN FLOW; POLYMER;

EID: 0032766287     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00130-X     Document Type: Article

References (19)

1. Doi M. Rheological properties of rodlike polymers in isotropic and liquid crystalline phases. Ferroelectrics. 30:1980;247-254.
2. Marrucci G. Rheology of rodlike polymers in the nematic phase with tumbling with tumbling or shear orientation. Macromolecules. 24:1991;4176-4182.
3. Larson R.G., Öttinger H. Effect of molecular elasticity on out-of-plane orientations in shearing flows of liquid crystalline polymers. Macromolecules. 24:1991;6270-6282.
4. See H., Doi M., Larson R.G. The effect of steady flow fields on the isotropic-nematic phase transition of rigid rod-like polymers. J. Chem. Phys. 92(1):1990;792-800.
5. Chaubal C.V., Leal L.G., Fredrickson G.H. A comparison of closure approximations for the Doi theory of LCPs. J. Rheol. 39:1995;73-103.
6. Wang Q. Biaxial steady states and their stability in shear flows of liquid crystal polymers. J. Rheol. 41:1997;943-970.
7. Rey A. Bifurcational analysis of the isotropic-nematic phase transition of rigid rod polymer subjected to biaxial flow. Macromol. Theory Simul. 4(5):1995;857-872.
8. M.G. Forest, Q. Wang, Biaxial Patterns and Director Instabilities of Lyotropic Liquid Crystalline Polymers in Imposed Elongational Flows, University of North Caroline Mathematics Department Preprint Series 14 (1997).
9. Feng J., Leal L.G. Simulating complex flows of liquid-crystalline polymers using the Doi theory. J. Rheol. 41(6):1997;1317-1336.
10. Mori N., Hamaguchi Y., Nakamura K. Numerical simulation of the spinning flow of liquid polymers. J. Rheol. 41(5):1997;1095-1104.
11. Bhave A.V., Menon R.K., Armstrong R.C., Brown R.A. A constitutive equation for liquid crystalline polymer solutions. J. Rheol. 37:1993;413-441.
12. Hu T., Ryskin G. Numerical simulation of rodlike polymers in extensional and sink/source flows using the order-parameter version of Doi's theory. J. Chem. Phys. 96(6):1992;4705-4717.
13. Forest M.G., Wang Q., Bechtel S.E. 1-D Models for thin filaments of liquid crystalline polymers: coupling of orientation and flow in the stability of simple solution. Physica D. 99:1997;527-554.
14. D.D. Joseph, Fluids Dynamics of Viscoelastic Liquids, Springer, New York, 1990.
15. A.V. Bhave, Kinetic theory for dilute and concentrated polymer solutions: study of nonhomogeneous effects, Ph.D. Thesis, MIT, 1992.
16. Marrucci G., Greco F. Molecular structure of hedgehog point defects in nematics. Mol. Cryst. Liq. Cryst. 210:1992;129-141.
17. 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. 19:1981;229-243.
18. M.G. Forest, Q. Wang, Anisotropic microstructure-induced reduction of the Rayleigh instability for liquid crystalline polymers, Physical Letters A, 245 (1998), 518-526.
19. R. Camassa, J.M. Hyman (Eds.), The role of microstructure in taming the Rayleigh instability of cylindrical jets, (special issue on Nonlinear and Solitons in Physical Systems), Physica D, 1998, in press.