Geometrical effects in resonant gas oscillations

DOI10.1017/S0022112093003040zbMath0789.76078OpenAlexW2138042702MaRDI QIDQ4281844

W. Chester, M. R. Peake, John R. Ockendon, Hilary Ockendon

Publication date: 10 March 1994

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

Full work available at URL: https://doi.org/10.1017/s0022112093003040

zbMATH Keywords

Duffing equationdetuningcylindrical acoustic resonatorspherical annular resonator

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Hydro- and aero-acoustics (76Q05)

Related Items (8)

On the transition between continuous and shocked solutions for resonant gas oscillations in the frustum of a closed cone ⋮ Resonant radial oscillations of an inhomogeneous gas in the frustum of a cone ⋮ Nonlinear analysis of periodic modulation in resonances of cylindrical and spherical acoustic standing waves ⋮ TRANSVERSE RESONANT OSCILLATIONS IN ACOUSTIC DUCTS ⋮ The evolution of macrosonic standing waves in a resonator ⋮ The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry ⋮ Asymptotic solutions for shocked resonant acoustic oscillations between concentric spheres and coaxial cylinders ⋮ Resonant oscillations of an inhomogeneous gas between concentric spheres

Cites Work

• Explicit solution of the inverse problem for a vibrating string
• Nonlinear elastic surface gravity waves: Continuous and discontinuous solutions
• Third order resonances in closed tubes
• Nonlinear acoustic resonances in shock tubes with varying cross-sectional area
• Resonant oscillations of a gas in an open-ended tube

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