Poiseuille flow of nematic liquid crystals

M. Carme Calderer, Chun Liu

Research output: Contribution to journalConference article

14 Scopus citations

Abstract

We study flow phenomena of nematic liquid crystals with variable degree of orientation. There are three non-dimensional parameters, the Ericksen number, the Reynolds number and the Interface number that are very relevant in determining the flow behavior. We establish a dissipative relation for the governing system that holds for general flow domains. In the case of plane Poiseuille flow, we study the well-posedness of the governing system of differential equations. We discuss stationary configurations with many defects that are due to the large Ericksen number of the flow. We also present numerical simulations of the boundary value problem for the stationary system.

Original languageEnglish (US)
Pages (from-to)1007-1022
Number of pages16
JournalInternational Journal of Engineering Science
Volume38
Issue number9
DOIs
StatePublished - Jun 1 2000
EventThe Eringen Symposium Dedicated to Pierre-Gilles De Gennes - 36th Annual Technical Meeting of the Society of Engineeing Science - Pullman, WA, USA
Duration: Sep 27 1998Sep 30 1998

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Engineering(all)
  • Mechanics of Materials
  • Mechanical Engineering

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