Computer simulation of finite amplitude standing waves in rigid-walled ducts.

The Coppens-Sanders theory for the one-dimensional, nonlinear, acoustic wave equation with dissipative term describing the viscous and thermal energy losses encountered in a rigid-walled, closed tube of large length-to-diameter ratio was applied to finite-amplitude standing waves by the use of the Fast Fourier Transform. Computer programs were written to determine the amplitudes and phases of the first 255 harmonics. Curves of harmonic distortion as a function of the strength parameter were found to be in excellent agreement with available experimental data, to agree with the Coppens-Sanders perturbation analysis, and to extend the theoretically describable regime closer to strengths leading to the formation of the shock front.

Department dc:contributor.department

Physics

Grantor dc:publisher

Monterey, California. Naval Postgraduate School

Year dc:date.issued

1969

Author dc:creator

• Kadlick, Richard Mark

Advisor dc:contributor.advisor

• Coppens, Alan B.

Statement dc: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.

Language dc:language.iso

en_US

Handle dc:identifier.uri

https://hdl.handle.net/10945/24639

OAI identifier oai:identifier

oai:calhoun.nps.edu:10945/24639