Publication:
Theoretical Study of Finite-Amplitude Traveling Waves in Rigid-Walled Ducts: Behavior for Strengths Precluding Shock Formation

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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
This paper presents three different solutions to a one‐dimensional model of the propagation of finite‐amplitude traveling waves in rigid‐walled ducts. The first two solutions, in the nature of perturbation solutions, provide useful information for relatively weak waves; the distances for which the solutions are valid range from α1x≪1 to α1x< ∞, depending on the strength of the waveform and the particular solution considered. The third solution is based on a set of first‐order coupled nonlinear differential equations with one independent and two dependent variables. This solution is useful for all values of α1x for strengths up to those necessary for shock formation. Results include graphs of relative harmonic distortion, predictions of waveform profiles, and representative graphs illustrating the dispersive behavior of the phase speeds of the individual harmonics.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1121/1.1912331
Series/Report No
Department
Physics
Other Units
Naval Postgraduate School (U.S.)
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Format
13 p.
Citation
Coppens, Alan B. "Theoretical Study of Finite‐Amplitude Traveling Waves in Rigid‐Walled Ducts: Behavior for Strengths Precluding Shock Formation." The Journal of the Acoustical Society of America 49.1B (1971): 306-318.
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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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