Orientational instabilities in nematics with weak anchoring under combined action of steady flow and external fields

Details Orientational instabilities in nematics with weak anchoring under combined action of steady flow and external fields Orientational instabilities in nematics with weak anchoring under combined action of steady flow and external fields

2005-03-10

arxiv.org/abs/physics/0503091v1

Physics

Fluid Dynamics

12 pages, 6 figures

Scientific paper

10.1103/PhysRevE.72.051706

We study the homogeneous and the spatially periodic instabilities in a nematic liquid crystal layer subjected to steady plane {\em Couette} or {\em Poiseuille} flow. The initial director orientation is perpendicular to the flow plane. Weak anchoring at the confining plates and the influence of the external {\em electric} and/or {\em magnetic} field are taken into account. Approximate expressions for the critical shear rate are presented and compared with semi-analytical solutions in case of Couette flow and numerical solutions of the full set of nematodynamic equations for Poiseuille flow. In particular the dependence of the type of instability and the threshold on the azimuthal and the polar anchoring strength and external fields is analysed.

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