On the Equilibria of the Extended Nematic Polymers under Elongational Flow
NAVAL POSTGRADUATE SCHOOL MONTEREY CA DEPT OF MATHEMATICS
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We classify the equilibrium solutions of the Smoluchowski equation for dipolar extended rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples theMaier-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. 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.
- Polymer Chemistry
- Manufacturing and Industrial Engineering and Control of Production Systems