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On a model representation for certain spatial-resonance phenomena

Published online by Cambridge University Press:  29 March 2006

J. J. Mahony  and
Ronald Smith
J. J. Mahony
Affiliation:
Fluid Mechanics Research Institute, University of Essex Present address: On leave from the Department of Mathematics, University of Western Australia.
Ronald Smith
Affiliation:
Fluid Mechanics Research Institute, University of Essex
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Abstract

It has been observed that standing surface waves in water may be excited by acoustic fields of very much higher frequency. No special relationship between the two frequencies appears to be required, but there is such a relationship between the spatial variations of the acoustic and surface wave modes. Another requirement is that the lower frequency should be comparable with the resonant and width of the acoustic response of the system. An explanation of such phenomena is proposed and is tested on a somewhat idealized model by the use of techniques which could be extended to deal with more realistic situations. The model serves to explain qualitatively the available experimental observations. It is suggested that the phenomenon of spatial resonance is not confined to the interaction between water waves and acoustic fields, but may occur generally in systems having modes with related spatial patterns but greatly different frequencies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 2 , 23 May 1972 , pp. 193 - 207
Copyright
© 1972 Cambridge University Press

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References

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