Exact Solutions for the Propagation of Two Simple Acoustic Transients in Waveguides with Perfectly Reflecting Walls

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Authors
Coppens, Alan B.
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Advisors
Date of Issue
1980-07
Date
Publisher
Acoustical Society of America
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Abstract
The response of a fluid‐filled waveguide with perfectly rigid or pressure‐release boundaries and uniform cross section to acoustic transients propagated down the axis of the guide is studied. Exact solutions are obtained for step‐function and gated sine‐wave excitations of the source. The particle velocity resulting from the latter input can be written as the sum of the familiar steady‐state solution and a transient signal composed of two Lommel functions. An approximate expression is obtained that allows quantitative estimation of the behavior of the first portion of the transient as a function of the dimensionless parameter zλ/a2, where ais the radius of the waveguide, z is the distance that the transient has traveled, and λ is the free‐field wavelength associated with the carrier frequency of the gated sine wave. Some experimental confirmations of the predicted waveforms are presented. The relevence of these propagation effects on the accuracy of velocimeters is discussed.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1121/1.1910075
Series/Report No
Department
Physics
Organization
Naval Postgraduate School (U.S.)
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NPS Report Number
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Format
10 p.
Citation
Coppens, A. B. "Exact solutions for the propagation of two simple acoustic transients in waveguides with perfectly reflecting walls." The Journal of the Acoustical Society of America 40.2 (1966): 331-341.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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