The Stability and Dissipation of Solutions for Shearing Flow of Nematic Liquid Crystals

Author

P. K. Currie
G. P. MacSithigh, Missouri University of Science and TechnologyFollow

Abstract

It is known that there is generally a multiplicity of solutions for simple shearing flow of nematic liquid crystals, according to the usual continuum theory. With slight simplifications to this theory, we examine the stability and dissipation of solutions whose orientation lies in the plane of shear. Provided the shear rate is not too low, it is shown that there is just one solution which is feasible, stable, and least dissipative. This unique solution falls into one of two categories, depending on the boundary orientation.

Recommended Citation

P. K. Currie and G. P. MacSithigh, "The Stability and Dissipation of Solutions for Shearing Flow of Nematic Liquid Crystals," Quarterly Journal of Mechanics & Applied Mathematics, Oxford University Press, Jan 1979.

The definitive version is available at https://doi.org/10.1093/qjmam/32.4.499

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1979 Oxford University Press, All rights reserved.

Publication Date

01 Jan 1979