Subharmonic capillary–gravity waves in large containers subject to horizontal vibrations

This paper deals with nearly inviscid, capillary–gravity, modulated waves parametrically excited by monochromatic horizontal vibrations in liquid containers whose width and depth are both large compared with the wavelength of the excited waves. A general linear amplitude equation is derived with app...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fluid mechanics 2014-01, Vol.739, p.196-228
Main Authors: Perez-Gracia, José M., Porter, Jeff, Varas, Fernando, Vega, José M.
Format: Article
Language:English
Subjects:
Boundary conditions
Containers
Exact sciences and technology
Fluid dynamics
Fluid mechanics
Fundamental areas of phenomenology (including applications)
Gravity waves
Hydrodynamic waves
Pattern selection
pattern formation
Physics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper deals with nearly inviscid, capillary–gravity, modulated waves parametrically excited by monochromatic horizontal vibrations in liquid containers whose width and depth are both large compared with the wavelength of the excited waves. A general linear amplitude equation is derived with appropriate boundary conditions that provides the threshold acceleration and associated spatiotemporal patterns, which compare very well with experimental measurements and visualizations. The primary instability is associated with a pair of complex Floquet multipliers that are close to (but strictly different from) −1, meaning that the instability is not strictly (2:1) subharmonic. The resulting (quasi-periodic) waves are generally oblique, not perpendicular to the vibrating endwalls. The extension of the theory to other confined systems such as vibrating containers of arbitrary shape and vibrating drops is also considered.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2013.606