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Main Title: A note on couette flow of nematic crystals according to the Ericksen–Leslie theory
Author(s): Rickert, Wilhelm
Vilchevskaya, Elena N.
Müller, Wolfgang H.
Type: Article
Language Code: en
Abstract: In order to model the flow of nematic crystals, the theoretical framework according to Ericksen and Leslie is applied. The essentials of the theory are compiled and then specialized to Couette flow. The profiles for linear velocity and orientation angle will be computed and, in particular, we shall also study the rise in temperature due to viscous dissipation, which is frequently ignored by mechanicians. Analytical and numerical solutions for the fields are derived for different boundary conditions and will subsequently be discussed.
Issue Date: 12-Dec-2019
Date Available: 13-Feb-2020
DDC Class: 510 Mathematik
530 Physik
Subject(s): analytical solutions
polar materials
theory of constitutive functions
Sponsor/Funder: TU Berlin, Open-Access-Mittel - 2019
Journal Title: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Publisher: Wiley
Publisher Place: Berlin
Volume: 1
Issue: 100
Article Number: e201900035
Publisher DOI: 10.1002/zamm.201900035
EISSN: 1521-4001
ISSN: 0044-2267
Appears in Collections:FG Kontinuumsmechanik und Materialtheorie » Publications

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