Fiber Flows and Technological Applications
Final rept. 1 Oct 1996-30 Sep 1999
NORTH CAROLINA UNIV AT CHAPEL HILL DEPTOF MATHEMATICS
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The primary goals of this research proposal consist of the development of mathematical tools for high performance materials. The microstructure of these complex fluids consists of macromolecules whose shape, conformation, and rigidityflexibility interact with the flow to effect molecular scare alignment that controls the ultimate performance properties of the solid material. Our approach has focused on mesoscale, moment- averaged theories derived for liquid crystalline polymer LCP materials. We aim for 1 modeling and simulation of free surface fiber processes for anisotropic, viscoelastic materials 2 exact constructions of the patterns that are routinely observed in experiments, and for which no mathematical descriptions were available 3 for fundamental understanding of nematic dynamics and phase transitions, and of the response of these complex fluids to flows that approximate finer and film processes 4 for development of numerical codes to resolve the interactions between microstructure and flow.
- Polymer Chemistry
- Fluid Mechanics
- Theoretical Mathematics