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Title page for ETD etd-07092005-005409


Type of Document Dissertation
Author Cui, Zhenlu
Author's Email Address zcui@email.unc.edu
URN etd-07092005-005409
Title Rheology and Mesoscale Morphology of Flows of Cholesteric and Nematic Liquid Crystal Polymers
Degree Doctor of Philosophy
Department Mathematics, Department of
Advisory Committee
Advisor Name Title
Qi Wang Committee Chair
Christopher Tam Committee Member
Guosheng Liu Committee Member
Jerry F. Magnan Committee Member
Mark Sussman Committee Member
Keywords
  • Cholesteric Liquid Crystal
  • Liquid Crystal
  • Polymers
  • Asymptotic Expansion
  • Instability
  • Phase Transition
Date of Defense 2005-06-13
Availability unrestricted
Abstract
Cholesteric liquid crystals(CLC) are mesophases, where the average direction of molecular orientation exhibits a chiral (twisted) pattern along its normal direction. In the past, the rheological and flow properties of CLC have been studied scarcely. This is due to the natural tendency of a cholesteric to favor its characteric, twisted configuration, which naturally leads to more complex arrangements of the optic axis than in pure nematics and complicated spatial structures. In this dissertation, we address the issues

related to rheology and flow induced structures in CLC and nematic polymers, with

emphasis on the role of the anisotropic elasticities.

In the first part of this dissertation, we study the permeation flow problem using a mesoscopic theory obtained from the kinetic theory for Cholesteric liquid crystal polymers and resolve

the inconsistency issue in the literature. Then we give a systematic study on steady

structures and transient behavior in flows of nematic polymers.

In the second part of this dissertation, we develop a hydrodynamic theory

for flows of CLCPs following the continuum mechanics formulation of McMillan's second order tensor theory for liquid crystals and study phase transition in chiral nematic liquid crystals as well as the rheological hebaviors and the flow properties of CLCPs.

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