Journal ArticleDOI
Nonlinear Faraday resonance
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In this article, the dominant axisymmetric (AAS) modes in a cylinder containing liquid with a free surface are subjected to a vertical oscillation of amplitude eg/ω2 and frequency 2ω, where ω is within O(eω) of the natural frequency of a particular (primary) mode in the surface wave spectrum and 0 δ, where δ is the damping ratio (actual/critical) of a primary mode, is a necessary condition for subharmonic response of that mode.Abstract:
A cylinder containing liquid with a free surface is subjected to a vertical oscillation of amplitude eg/ω2 and frequency 2ω, where ω is within O(eω) of the natural frequency of a particular (primary) mode in the surface-wave spectrum and 0 δ, where δ is the damping ratio (actual/critical) of the primary mode, is a necessary condition for subharmonic response of that mode. Explicit results are given for the dominant axisymmetric and antisymmetric modes in a circular cylinder. Internal resonance, in which a pair of modes have frequencies that approximate ω and 2ω, is discussed separately, and the fixed points and their stability for the special case ω2 = 2ω1 are determined. Internal resonance for ω2 = ω1 is discussed in an appendix.read more
Citations
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Pattern formation outside of equilibrium
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TL;DR: A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented in this article, with emphasis on comparisons between theory and quantitative experiments, and a classification of patterns in terms of the characteristic wave vector q 0 and frequency ω 0 of the instability.
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Microscale acoustofluidics: Microfluidics driven via acoustics and ultrasonics
James Friend,Leslie Y. Yeo +1 more
TL;DR: In this article, the use of acoustic fields, principally ultrasonics, for application in microfluidics is reviewed, and the abundance of interesting phenomena arising from nonlinear interactions in ultrasound that easily appear at these small scales is considered, especially in surface acoustic wave devices that are simple to fabricate with planar lithography techniques.
Book
Liquid Sloshing Dynamics
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Recent Advances in Liquid Sloshing Dynamics
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Modal Interactions in Dynamical and Structural Systems
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References
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Journal ArticleDOI
On a Peculiar Class of Acoustical Figures; and on Certain Forms Assumed by Groups of Particles upon Vibrating Elastic Surfaces
TL;DR: Chladni as mentioned in this paper observed that shavings from the hairs of the exciting violin bow did not proceed to the nodal lines, but were gathered together on those parts of the plate the most violently agitated, i. e. at the centres of oscillation.
Journal ArticleDOI
The stability of the plane free surface of a liquid in vertical periodic motion
Thomas Brooke Benjamin,F. Ursell +1 more
TL;DR: In this article, the stability of the plane free surface is investigated theoretically when the vessel is a vertical cylinder with a horizontal base, and the liquid is an ideal frictionless fluid making a constant angle of contact of 90° with the walls of the vessel.
Journal ArticleDOI
XVII. On the maintenance of vibrations by forces of double frequency, and on the propagation of waves through a medium endowed with a periodic structure
TL;DR: In this paper, the maintenance of vibrations by forces of double frequency, and propagation of waves through a medium endowed with a periodic structure are discussed, and the authors propose a method to solve the problem.
Journal ArticleDOI
Surface-Wave Damping in Closed Basins
TL;DR: In this article, the authors show that the damping of surface waves in closed basins appears to be due to viscous dissipation at the boundary of the surrounding basin, (b) viscous dissolution at the surface in consequence of surface contamination, and (c) capillary hysteresis associated with the meniscus surrounding the free surface.
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