On the Equilibria of the Extended Nematic Polymers under Elongational Flow

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2007
Accession Number
ADA488436

Entities

People

  • Hong Zhou
  • Hongyn Wang
  • Lynda Wilson

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Axisymmetric
  • Cartesian Coordinates
  • Coordinate Systems
  • Eigenvectors
  • Energy
  • Equations
  • Flow
  • Flow Fields
  • Free Energy
  • Integral Equations
  • Integrals
  • Liquid Crystals
  • Polymers
  • Probability
  • Probability Density Functions
  • Random Variables

Readers

  • Fluid Dynamics.
  • Materials Science and Engineering.
  • Plasma Physics / Magnetohydrodynamics