On nonlinear acoustics approximation in problems of gas oscillations in pipes

DOI10.1016/0021-8928(80)90173-2zbMath0464.76063OpenAlexW1966460960MaRDI QIDQ1154363

S. H. Smith

Publication date: 1980

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90173-2

zbMATH Keywords

nonlinear acousticsmethod of characteristicsRiemann invariantsnear resonance modepipe resonant oscillationsweak shock wave

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items (2)

Near-resonace transverse oscillations in an elastic layer. Steady-state solutions ⋮ On the selfoscillatory modes of motion of a gas in pipes

Cites Work

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• Resonant oscillations in closed tubes
• On the solution of variational problems of supersonic flows of gas with foreign particles
• Finite amplitude waves in bounded media: nonlinear free vibrations of an elastic panel
• FORCED OSCILLATIONS OF SYSTEMS GOVERNED BY ONE-DIMENSIONAL NON-LINEAR WAVE EQUATIONS
• Analysis of a Self-Sustained Thermally Driven Nonlinear Vibration
• On a Perturbation Theory Based on the Method of Characteristics

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