Abstract
In the lecture delivered at the IMA Workshop on Orienting Polymers two years ago, Wissbrun (1984) presented an overview of the rheology of liquid crystal polymers and also emphasized the need for numerical simulations of the flow and orientation development. The great practical importance of such studies stems from the well-known fact that processing of liquid crystal polymers may be used for production of solid materials which have extremely valuable properties (strength, etc.) due to the high degree of molecular orientation. Molecular orientation is thus a very important function of the processing conditions (equipment geometry, flow regime, etc.), and the ability to predict and control this function can be crucial for the successful production of solid materials with required properties.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aubert, X. and M. DeVille (1983). Steady Viscous Flows by Compact Differences in Boundary-Fitted Coordinates. J. Comput. Phys. 49, 490.
Beam, R.M. and R.F. Warming (1980). Alternating Directions Implicit Methods for Parabolic Equations with a Mixed Derivative. SIAM J. Sci. Stat. Compu. 1, 131.
Chorin, A.J. (1967). A Numerical Method For Solving Incompressible Viscous Flow Problems. J. Comput. Phys. 2, 12.
DeGennes, P.G. (1974). The Physics of Liquid Crystals. Oxford Univ. Press.
Doi, M. (1981). Molecular Dynamics and Rheological Properties of Concentrated Solutions of Rodlike Polymers in Isotropic and Liquid Crystalline Phases. J. Polym. Sci.: Polym Phys. 19, 229.
Ericksen, J.L. (1960a). Transversely Isotropic Fluids. Koll. Z. 173, 117.
Ericksen, J.L. (1960b). Anisotropic Fluids. Arch. Rat. Mech. Anal. 4, 231.
Leslie, F.M. (1964). Hammel Flow of Certain Anisotropic Fluids. J. Fluid Mech. 18, 595.
Leslie, F.M. (1979). Theory of Flow Phenomena in Liquid Crystals. Adv. Liq. Cryst. 4, 1.
Marrucci, G. (1982). Prediction of Leslie Coefficients for Rodlike Polymer Nematics. Mol. Cryst. Liq. Cryst. 72, (Lett), 153.
Ryskin, G. and Leal, L.G. (1983). Orthogonal Mapping J. Comput. Phys. 50, 71.
Ryskin, G. and Leal, L.G. (1984). Solution of Free-Boundary Problems in Fluid Mechanics. Part 1. The Finite-Difference Technique. J. Fluid. Mech. 148, 1.
Wissbrun, K.F. 1984. “Orientation Development in Liquid Crystal Polymers,” Proc. IMA Workshop “Orienting Polymers”, Lect. Notes Math. 1063, Springer-Verlag, p. 1.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag New York, Inc.
About this chapter
Cite this chapter
Ryskin, G. (1987). Computer Simulation of Flow of Liquid Crystal Polymers. In: Ericksen, J.L., Kinderlehrer, D. (eds) Theory and Applications of Liquid Crystals. The IMA Volumes in Mathematics and Its Applications, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8743-5_15
Download citation
DOI: https://doi.org/10.1007/978-1-4613-8743-5_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4613-8745-9
Online ISBN: 978-1-4613-8743-5
eBook Packages: Springer Book Archive