Napoli, G. and Vergori, L. (2016) Hydrodynamic theory for nematic shells: the interplay among curvature, flow and alignment. Physical Review E, 94, 020701. (doi: 10.1103/PhysRevE.94.020701)
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Abstract
We derive the hydrodynamic equations for nematic liquid crystals lying on curved substrates. We invoke the Lagrange-Rayleigh variational principle to adapt the Ericksen-Leslie theory to two-dimensional nematics in which a degenerate anchoring of the molecules on the substrate is enforced. The only constitutive assumptions in this scheme concern the free-energy density, given by the two-dimensional Frank potential, and the density of dissipation which is required to satisfy appropriate invariance requirements. The resulting equations of motion couple the velocity field, the director alignment, and the curvature of the shell. To illustrate our findings, we consider the effect of a simple shear flow on the alignment of a nematic lying on a cylindrical shell.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Vergori, Dr Luigi |
| Authors: | Napoli, G., and Vergori, L. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Physical Review E |
| Publisher: | American Physical Society |
| ISSN: | 1539-3755 |
| ISSN (Online): | 2470-0053 |
| Related URLs: |
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