The Stability and Dissipation of Solutions for Shearing Flow of Nematic Liquid Crystals
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.
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 http://dx.doi.org/10.1093/qjmam/32.4.499
Mechanical and Aerospace Engineering
Article - Journal
© 1979 Oxford University Press, All rights reserved.