Capillary wave motion excited by high frequency surface acoustic waves

Tan, M, Friend, J, Matar, O and Yeo, L 2010, 'Capillary wave motion excited by high frequency surface acoustic waves', Physics of Fluids, vol. 22, no. 11, pp. 1-23.


Document type: Journal Article
Collection: Journal Articles

Title Capillary wave motion excited by high frequency surface acoustic waves
Author(s) Tan, M
Friend, J
Matar, O
Yeo, L
Year 2010
Journal name Physics of Fluids
Volume number 22
Issue number 11
Start page 1
End page 23
Total pages 23
Publisher American Institute of Physics
Abstract This paper presents a numerical and experimental study of capillary wave motion excited by high frequency surface acoustic waves (SAWs) The objective of this study is to provide insight into the dynamic behavior of the fluid free surface and its dependence on the excitation amplitude A two-dimensional numerical model that couples the motion of the piezoelectric substrate to a thin liquid layer atop the substrate is constructed A perturbation method, in the limit of small-amplitude acoustic waves, is used to decompose the equations governing fluid motion to resolve the widely differing time scales associated with the high frequency excitation While this model focuses on the free surface dynamics in the low-amplitude flow regime, the experimental study focuses on the high-amplitude flow regime Transformation of time series data from both experiments and simulations into the frequency domain reveals that, in the low-amplitude regime, a fundamental resonant frequency and a superharmonic frequency are found in the frequency spectra The former is found to be identical to that of the applied SAW, and the free surface displacement magnitude is comparable to that of the substrate displacement Our numerical results also confirm previous speculation that the separation distance between two displacement antinodal points on the free surface is delta(St) approximate to lambda(SAW)/2 for a film and delta(St) approximate to lambda(f)/2 for a drop, where lambda(SAW) and lambda(f) denote the SAW wavelength and the acoustic wavelength in the fluid, respectively Finally, in the high-amplitude regime, strong nonlinearities shift the acoustic energy to a lower frequency than that of the SAW, this low-frequency broadband response, quite contrary to the subharmonic half-frequency capillary wave excitation predicted by the classical linear or weakly nonlinear Faraday theories, is supported by a scaling analysis of the momentum equations.
Subject Fluid Physics
DOI - identifier 10.1063/1.3505044
Copyright notice © 2010 American Institute of Physics
ISSN 1070-6631
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