Amplitude measurements of Faraday waves

Abstract

A light reflection technique is used to measure quantitatively the surface elevation of Faraday waves. The performed measurements cover a wide parameter range of driving frequencies and sample viscosities. In the capillary wave regime the bifurcation diagrams exhibit a frequency independent scaling proportional to the wavelength. We also provide numerical simulations of the full Navier-Stokes equations, which are in quantitative agreement up to supercritical drive amplitudes of ε ≃ 20%. The validity of an existing perturbation analysis is found to be limited to ε < 2.5%. PACS: 47.54.+r 47.20.Ma 47.20.Lz

Faraday instability threshold in large-aspect-ratio containers

“…(iv) We have only taken a few from the many experimental points by Wernet et al (2001), namely those points in which the wavelength of the excited waves was small Edwards (1994) are unpublished and are taken from Kumar & Tuckerman (1994), Kumar (1996) and Cerda & Tirapegui (1998). compared with the container depth.…”

The Faraday instability in wormlike micelle solutions

“…Until about a decade ago, the Faraday instability had been intensively studied in Newtonian fluids [4][5][6]8,9]. Only recently have vertically vibrated complex fluids been the subject of experimental [10][11][12][13][14] and theoretical research [15,16].…”

Anomalous modes in Faraday instability

“…Secondly, if the fluid is too viscous one cannot observe the anomalous mode. Since it has been showed that for viscous fluids the instability pattern is independent on the shape of the container (Edwards and Fauve, 1993;Wernet et al, 2001), one can think that if the fluid is too viscous, the dissipation damps the resonance. By taking into account the experimental observations presented above, we can support our conjecture by considering the cell as a two-dimensional system and by decomposing the wavenumber of the excited mode, , in two components, a longitudinal one, kx l=nπ with n=0,1,2,3,… and a transverse one, ky d=qπ, by taking q=2.…”

“…When the acceleration exceeds a threshold value, surface waves appear oscillating at half the forcing frequency and with a critical wave number k. In the recent years, this system has been widely studied, both experimentally and theoretically, since it is a paradigm experiment for the investigation of pattern formation (Kumar and Tuckerman, 1994;Edwards and Fauve, 1993;Wernet et al, 2001), spatio-temporal phenomena (Epstein and Fineberg, 2004) and localized oscillations (Arbell and Fineberg, 2000).…”