Sheared Nematic Liquid Crystal Polymer Monolayers
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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We provide a comprehensive study on the planar 2D orientational distributions of nematic polymers under an imposed shear flow of arbitrary strength. We extend previous analysis for persistence of equilibria in steady shear and for transitions to unsteady limit cycles, from closure models 21 to the Doi-Hess 2D kinetic equation. A variation on the Boltzmann distribution analysis of Constantin et al. 3, 4, 5 and others 8, 22, 23 for potential flow is developed to solve for all persistent steady equilibria, and characterize parameter boundaries where steady states cease to exist, which predicts the transition to tumbling limit cycles.
- Physical Chemistry
- Polymer Chemistry
- Fluid Mechanics