We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Nonlinear generation of vorticity in thin smectic films.
- Authors
Parfenyev, V.; Vergeles, S.; Lebedev, V.
- Abstract
We analyze a solenoidal motion in a vertically vibrated freely suspended thin smectic film. We demonstrate analytically that transverse oscillations of the film generate two-dimensional vortices in the plane of the film owing to hydrodynamic nonlinearity. An explicit expression for the vorticity of the in-plane film motion in terms of the film displacement is obtained. The air around the film is proven to play a crucial role, since it changes the dispersion relation of transverse oscillations and transmits viscous stresses to the film, modifying its bending motion. We propose possible experimental observations enabling to check our predictions.
- Subjects
SMECTIC liquid crystals; VORTEX motion; OSCILLATIONS; HYDRODYNAMICS; DISPERSION relations; BENDING moment
- Publication
JETP Letters, 2016, Vol 103, Issue 3, p201
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364016030127