Non-planar shear flows for non-aligning nematic liquid crystals

Mitchell Luskin, Tsorng Whay Pan

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We investigate the stability of simple planar shear flow between moving parallel plates for non-aligning nematic liquid crystals. We present numeri- cal results for the continuation of the non-planar solution branch from its bifurcation from the planar solution branch which agree with the experi- mental results of Pieranski and Guyon that at a critical shear rate the director turns out of the shear plane to an orientation nearly orthogonal to the shear plane.

Original languageEnglish (US)
Pages (from-to)369-384
Number of pages16
JournalJournal of Non-Newtonian Fluid Mechanics
Volume42
Issue number3
DOIs
StatePublished - Apr 1992

Bibliographical note

Funding Information:
This work is part of the Transitions and Defects in Ordered Materials Project and was supportedi n part by the National ScienceF oundation and the Air Force Office of Scientific Researcht hrough grantsD MS 835-1080, DMS 871-8881a nd AFOSR-91-0301, the Army Research Office through grantsD AAL03-88-K-0110a nd DAAL03-89-G-0081,a nd by the Minnesota SupercomputerIn stitute.

Keywords

  • liquid crystals
  • nematic
  • planar shear flow
  • stability

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