Hydrodynamic theory for nematic shells: The interplay among curvature, flow, and alignment

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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.

Autore Pugliese

Tutti gli autori

  • Napoli G. , Vergori L.

Titolo volume/Rivista

PHYSICAL REVIEW. E

Anno di pubblicazione

2016

ISSN

2470-0045

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

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0

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

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Codici ASJC

Non Disponibile