On the equilibria of the extended nematic polymers under elongational flow
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Authors
Zhou, Hong
Wilson, Lynda
Wang, Hongyun
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2007
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2007
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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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The article of record as published may be located at http://dx.doi.org/10.1155/2007/36267
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Applied Mathematics
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Abstract and Applied Analysis / Volume 2007
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.