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Sharp-interface nematic-isotropic phase transitions with flow

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Title: Sharp-interface nematic-isotropic phase transitions with flow
Author(s): Fried, Eliot
Subject(s): nematic-isotropic phase transitions
Abstract: We present a sharp-interface theory for phase transformations between the isotropic and uniaxial nematic phases of a flowing liquid crystal. These equations include a supplemental interface condition which expresses the balance of configurational momentum. As an application, we study the behavior a spherical isotropic drop surrounded by a radially-oriented nematic phase. For this problem, the bulk and interfacial equations collapse to a single nonlinear second-order ordinary differential equation for the radius of the droplet. We determine and study the stability of the corresponding equilibria. In addition, we find that motion of the interface generates a backflow in the nematic phase. Our analysis indicates that a backflow measurement can be used to determine independently the density difference between the isotropic and uniaxial nematic phases.
Issue Date: 2006-06
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1093, (2006)
Genre: Technical Report
Type: Text
Language: English
URI: http://hdl.handle.net/2142/346
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is not peer reviewed
Rights Information: Copyright owned by Eliot Fried
Date Available in IDEALS: 2007-03-09
 

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  • Theoretical and Applied Mechanics (TAM) Technical Reports
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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