Emergence of structure in a model of liquid crystalline polymers with elastic coupling

Raz Kupferman; Mark N. Kawaguchi; Morton M. Denn

doi:10.1016/S0377-0257(99)00098-1

Emergence of structure in a model of liquid crystalline polymers with elastic coupling

Raz Kupferman, Mark N. Kawaguchi, Morton M. Denn^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

43 Scopus citations

Abstract

We have solved the equations of transient shear flow for a model of a liquid crystalline polymer that contains a long-range interaction term in the nematic potential. The model exhibits a rich set of dynamics when the structure and momentum equations are coupled, including a periodic vorticity 'burst' near the shearing surface and very large gradients in velocity at discrete planes. Textures that are independent of the macroscopic scale were not observed. (C) 2000 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	255-271
Number of pages	17
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	91
Issue number	2-3
DOIs	https://doi.org/10.1016/S0377-0257(99)00098-1
State	Published - 1 Jul 2000

Bibliographical note

Funding Information:
R. Kupferman was supported in part by the LBNL Directed Research and Development Program. M.N. Kawaguchi and M.M. Denn were supported by the Director, Office of Energy Research, Office of Basic Energy Sciences, Materials Science Division of the U.S. Department of Energy under Contract No. DE-AC073-76SF00098.

Keywords

Elastic coupling
Liquid crystalline polymers

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10.1016/S0377-0257(99)00098-1

Cite this

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abstract = "We have solved the equations of transient shear flow for a model of a liquid crystalline polymer that contains a long-range interaction term in the nematic potential. The model exhibits a rich set of dynamics when the structure and momentum equations are coupled, including a periodic vorticity 'burst' near the shearing surface and very large gradients in velocity at discrete planes. Textures that are independent of the macroscopic scale were not observed. (C) 2000 Elsevier Science B.V. All rights reserved.",

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N2 - We have solved the equations of transient shear flow for a model of a liquid crystalline polymer that contains a long-range interaction term in the nematic potential. The model exhibits a rich set of dynamics when the structure and momentum equations are coupled, including a periodic vorticity 'burst' near the shearing surface and very large gradients in velocity at discrete planes. Textures that are independent of the macroscopic scale were not observed. (C) 2000 Elsevier Science B.V. All rights reserved.

AB - We have solved the equations of transient shear flow for a model of a liquid crystalline polymer that contains a long-range interaction term in the nematic potential. The model exhibits a rich set of dynamics when the structure and momentum equations are coupled, including a periodic vorticity 'burst' near the shearing surface and very large gradients in velocity at discrete planes. Textures that are independent of the macroscopic scale were not observed. (C) 2000 Elsevier Science B.V. All rights reserved.

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Emergence of structure in a model of liquid crystalline polymers with elastic coupling

Abstract

Bibliographical note

Keywords

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