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2007 On the Equilibria of the Extended Nematic Polymers under Elongational Flow
Hong Zhou, Lynda Wilson, Hongyun Wang
Abstr. Appl. Anal. 2007: 1-15 (2007). DOI: 10.1155/2007/36267

Abstract

We classify the equilibrium solutions of the Smoluchowski equation for dipolar (extended) rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples the Maier-Saupe short-range interaction, dipole-dipole interaction, and an external elongational flow. We show that all stable equilibria of rigid, dipolar rod dispersions under imposed uniaxial elongational flow field are axisymmetric. This finding of axisymmetry significantly simplifies any procedure of obtaining experimentally observable equilibria.

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Hong Zhou. Lynda Wilson. Hongyun Wang. "On the Equilibria of the Extended Nematic Polymers under Elongational Flow." Abstr. Appl. Anal. 2007 1 - 15, 2007. https://doi.org/10.1155/2007/36267

Information

Published: 2007
First available in Project Euclid: 5 July 2007

zbMATH: 1140.76309
MathSciNet: MR2320796
Digital Object Identifier: 10.1155/2007/36267

Rights: Copyright © 2007 Hindawi

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