On the Equilibria of the Extended Nematic Polymers under Elongational Flow
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Abstract and Applied Analysis

On the Equilibria of the Extended Nematic Polymers under Elongational Flow

Hong Zhou, Lynda Wilson, and Hongyun Wang

Source: Abstr. Appl. Anal. Volume 2007 (2007), 15 pages.

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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1183666874
Digital Object Identifier: doi:10.1155/2007/36267
Mathematical Reviews number (MathSciNet): MR2320796


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