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.
Bibliographical noteFunding 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.
- liquid crystals
- planar shear flow