On the Equilibria of the Extended Nematic Polymers under Elongational Flow

Zhou, Hong; Wilson, Lynda; Wang, Hongyun

doi:https://doi.org/10.1155/2007/36267

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Research Article | Open Access

Volume 2007 | Article ID 036267 | https://doi.org/10.1155/2007/36267

On the Equilibria of the Extended Nematic Polymers under Elongational Flow

Hong Zhou,¹Lynda Wilson,¹and Hongyun Wang²

Academic Editor: Norimichi Hirano

Received21 Dec 2006

Accepted16 Mar 2007

Published20 May 2007

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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Copyright

Copyright © 2007 Hong Zhou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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