Finite-amplitude standing waves within real cavities
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Authors
Coppens, Alan B.
Sanders, James V.
Subjects
Advisors
Date of Issue
1980-07
Date
Publisher
Acoustical Society of America
Language
Abstract
A three‐dimensional mathematical model for acoustical standing waves in lossy fluid‐filled cavities has been obtained which requires empirical values for the resonance frequencies fnand quality factors Qn (all measured in the linear acoustic régime) of the pertinent standing waves which the cavity can support. The nonlinear distortion of the observed pressure waveform depends strongly on the f’s and Q’s of those standing waves excited by harmonicsof the driving frequency. The model is applicable to nonideal cavities if the deviations from idealized geometry and boundary conditions are small. It is restricted to small values of M(1+1/2 B/A) Q1 where M is the peak Mach number and Q1 the quality factor of the fundamental component of the driven standing wave, and B/A is the parameter of nonlinearity of the fluid. Comparisons between the model and experiment are made for a rectangular cavity driven in one‐ and two‐dimensional modes. Agreement is excellent except when there are degeneracies involving the predicted nonlinearly excited standing waves and other standing waves of the cavity. Small discrepancies appear to result from the coupling of energy from the nonlinearly excited standing wave into its degenerate neighbor.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1121/1.380795
Series/Report No
Department
Physics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
8 p.
Citation
Coppens, Alan B., and James V. Sanders. "Finite‐amplitude standing waves within real cavities." The Journal of the Acoustical Society of America 58.6 (1975): 1133-1140.
Distribution Statement
Rights
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.