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 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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 2007
Source ID
10.1155/2007/36267

Entities

People

  • Hong Zhou
  • Hongyun Wang
  • Lynda Wilson

Organizations

  • Air Force Office of Scientific Research

Tags

Readers

  • Control Systems Engineering.
  • Materials Science and Engineering.
  • Plasma Physics / Magnetohydrodynamics