dorsal/arxiv
View SchemaOrientational instabilities in nematics with weak anchoring under combined action of steady flow and external fields
| Authors | I. Sh. Nasibullayev, O. S. Tarasov, A. P. Krekhov, L. Kramer |
|---|---|
| Categories | |
| ArXiv ID | physics/0503091 |
| URL | https://arxiv.org/abs/physics/0503091 |
| DOI | 10.1103/PhysRevE.72.051706 |
Abstract
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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"abstract": "We study the homogeneous and the spatially periodic instabilities in a\nnematic liquid crystal layer subjected to steady plane {\\em Couette} or {\\em\nPoiseuille} flow. The initial director orientation is perpendicular to the flow\nplane. Weak anchoring at the confining plates and the influence of the external\n{\\em electric} and/or {\\em magnetic} field are taken into account. Approximate\nexpressions for the critical shear rate are presented and compared with\nsemi-analytical solutions in case of Couette flow and numerical solutions of\nthe full set of nematodynamic equations for Poiseuille flow. In particular the\ndependence of the type of instability and the threshold on the azimuthal and\nthe polar anchoring strength and external fields is analysed.",
"arxiv_id": "physics/0503091",
"authors": [
"I. Sh. Nasibullayev",
"O. S. Tarasov",
"A. P. Krekhov",
"L. Kramer"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1103/PhysRevE.72.051706",
"title": "Orientational instabilities in nematics with weak anchoring under combined action of steady flow and external fields",
"url": "https://arxiv.org/abs/physics/0503091"
},
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