Hysteretic Faraday Waves
Fluid Dynamics
2016-07-20 v1
Abstract
We report on the numerical and theoretical study of the subcritical bifurcation of parametrically amplified waves appearing at the interface between two immiscible incompressible fluids when the layer of the lower fluid is very shallow. As a critical control parameter is surpassed, small amplitude surface waves bifurcate towards highly nonlinear ones, with twice their amplitude. We propose a simple phenomenological model which can describe the observed bifurcation. We relate this hysteresis with the change of shear stress using a simple stress balance, in agreement with numerical results.
Cite
@article{arxiv.1606.04007,
title = {Hysteretic Faraday Waves},
author = {Nicolas Périnet and Claudio Falcón and Jalel Chergui and Damir Juric and Seungwon Shin},
journal= {arXiv preprint arXiv:1606.04007},
year = {2016}
}
Comments
5 pages, 4 figures. Submitted to Physical Review E