On the Equilibria of the Extended Nematic Polymers under Elongational Flow | Zendy

Hong Zhou | Zendy; Lynda Wilson | Zendy; Hongyun Wang | Zendy

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On the Equilibria of the Extended Nematic Polymers under Elongational Flow

Author(s) -

Hong Zhou,

Lynda Wilson,

Hongyun Wang

Publication year - 2007

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2007/36267

Subject(s) - liquid crystal , dipole , flow (mathematics) , smoluchowski coagulation equation , polymer , rotational symmetry , observable , statistical physics , classical mechanics , range (aeronautics) , mechanics , physics , condensed matter physics , materials science , quantum mechanics , composite material , nuclear magnetic resonance

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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