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Generation of acoustic pulses by baffled plane pistons

Published online by Cambridge University Press:  26 February 2010

G. E. Tupholme
G. E. Tupholme
Affiliation:
Department of Mathematics, University of Bradford, Bradford, 7, England.
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Extract

One of the earliest investigations of the acoustic disturbance created in a fluid of semi-infinite extent by the movement of a piston surrounded by an infinite plane rigid baffle was undertaken in 1878 by Rayleigh [1], who studied the harmonic oscillations of a piston of arbitrary shape. In subsequent years, a number of authors have presented methods for studying the “baffled piston problem”. A large portion of the literature has been concerned with a circular piston and particular attention has been devoted to the case in which the small amplitude oscillations of the piston are harmonic. References to these earlier works are given by Chadwick and Tupholme [2]. A solution to the more general problem in which the normal velocity of a circular piston is an arbitrary function of time was derived from the corresponding time-harmonic solution by Oberhettinger [3] and obtained more directly by Miles [4, see also 5]. Kozina and Makarov [6] considered the acoustic fields produced by the time-dependent motion of an arbitrarily-shaped piston.

Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 209 - 224
Copyright
Copyright © University College London 1969

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References

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