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Acoustic excitation of superharmonic capillary waves on a meniscus in a planar microgeometry
 

Summary: Acoustic excitation of superharmonic capillary waves on a meniscus
in a planar microgeometry
Jie Xu and Daniel Attinger
Laboratory for Microscale Transport Phenomena, Department of Mechanical Engineering,
Columbia University, New York, New York 10027, USA
Received 22 January 2007; accepted 6 September 2007; published online 18 October 2007
The effects of ultrasound on the dynamics of an air-water meniscus in a planar microgeometry are
investigated experimentally. The sonicated meniscus exhibits harmonic traveling waves or standing
waves, the latter corresponding to a higher ultrasound level. Standing capillary waves with
subharmonic and superharmonic frequencies are also observed, and are explained in the framework
of parametric resonance theory, using the Mathieu equation. 2007 American Institute of Physics.
DOI: 10.1063/1.2790968
Instabilities at a liquid-gas interface appear in a wide
range of physical systems, from large ocean waves to micro-
scopic oscillations of a cavitating bubble.1,2
For a linear and
conservative system the response is harmonic; i.e., with the
same frequency as the excitation frequency.3
However, in
1831, Faraday observed4

  

Source: Attinger, Daniel - Department of Mechanical Engineering, Columbia University

 

Collections: Engineering