Propagation of nonlinear acoustic waves in a tunnel with an array of Helmholtz resonators

DOI10.1017/S0022112092002969zbMath0760.76085OpenAlexW2031490814MaRDI QIDQ4022953

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Publication date: 20 January 1993

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

Full work available at URL: https://doi.org/10.1017/s0022112092002969

zbMATH Keywords

shock wavesboundary layerfar-fieldwall frictionlinear dispersion relationacoustic solitonquasi-one-dimensional formulationtravelling train

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05)

Related Items (9)

Approximate theory of acoustic waveguide of metamaterials ⋮ Numerical modeling of nonlinear acoustic waves in a tube connected with Helmholtz resonators ⋮ Nonlinear effects in acoustic metamaterial based on a cylindrical pipe with ordered Helmholtz resonators ⋮ A two-way model for nonlinear acoustic waves in a non-uniform lattice of Helmholtz resonators ⋮ Generation of acoustic solitary waves in a lattice of Helmholtz resonators ⋮ Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method ⋮ Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation ⋮ Analysis of a Sugimoto Model of Nonlinear Acoustics in an Array of Helmholtz Resonators ⋮ Fractal Burgers equations

Cites Work

• Propagation of simple non-linear waves in gas filled tubes with friction
• On the oscillations near and at resonance in open pipes
• The response of Helmholtz resonators to external excitation. Part 1. Single resonators
• The response of Helmholtz resonators to external excitation. Part 2. Arrays of slit resonators
• Resonant oscillations in closed tubes

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