Nonlinear waves near a cut-off frequency in an acoustic duct – a numerical study

DOI10.1017/S0022112082001992zbMath0509.76076OpenAlexW2149151883MaRDI QIDQ4749487

Dick K. P. Yue, Chiang C. Mei, J. A. P. Aranha

Publication date: 1982

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112082001992

zbMATH Keywords

perturbation methodinitial-boundary-value problemguided waveasymptotic stateacoustic ductfrequency detuning and nonlinearityinputs of finite and long durationKeller and Millman's nonlinear wave equationsmodified cubic Schrödinger equationresponse near cut-off frequencyrigid pistonrigid walls without dissipation

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Basic methods in fluid mechanics (76M99)

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Cites Work

• Resonant surface waves
• Finite-Amplitude Sound-Wave Propagation in a Waveguide
• The damping of surface gravity waves in a bounded liquid