DISSIPATION AND ORDERING IN CAPILLARY WAVES AT HIGH ASPECT RATIOS

Citation
B. Christiansen et al., DISSIPATION AND ORDERING IN CAPILLARY WAVES AT HIGH ASPECT RATIOS, Journal of Fluid Mechanics, 291, 1995, pp. 323-341
Citations number
29
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
ISSN journal
00221120
Volume
291
Year of publication
1995
Pages
323 - 341
Database
ISI
SICI code
0022-1120(1995)291:<323:DAOICW>2.0.ZU;2-U
Abstract
We present an experimental study of high-aspect-ratio Faraday waves. W e have measured the dispersion relation and the damping rate, together with the critical amplitude for the primary instability for a wide ra nge of frequencies. We find that our results are well explained by the linear theory, if damping from the moving contact line is considered in addition to the bulk damping, Just above the primary instability a seemingly disordered stationary state is observed. We argue that this state is a superposition of normal modes. Approximately 5 % above the primary instability this state breaks down in favour of a quasi-crysta lline state. This result is discussed, partly in the light of the rece nt third-order nonlinear theory.