Resonant acoustic oscillations with damping: small rate theory
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Publication:5180539
DOI10.1017/S0022112073002636zbMath0272.76047OpenAlexW2125393840MaRDI QIDQ5180539
Brian R. Seymour, Michael P. Mortell
Publication date: 1973
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0022112073002636
Related Items (26)
On the transition between continuous and shocked solutions for resonant gas oscillations in the frustum of a closed cone ⋮ The evolution of nonlinear resonant oscillations in closed tubes: Solution of the standard mapping ⋮ The evolution of resonant water-wave oscillations ⋮ The calculation of resonance separatrices for the near-integrable case of the standard mapping ⋮ Standing waves in an open pipe: A nonlinear initial-boundary value problem ⋮ Resonant radial oscillations of an inhomogeneous gas in the frustum of a cone ⋮ Resonance: The Effect of Nonlinearity, Geometry and Frequency Dispersion ⋮ On nonlinear acoustics approximation in problems of gas oscillations in pipes ⋮ Resonant gas oscillations exhibiting mixed nonlinearity ⋮ Nonlinear analysis of periodic modulation in resonances of cylindrical and spherical acoustic standing waves ⋮ Finite-Amplitude, Shockless, Resonant Vibrations of an Inhomogeneous Elastic Panel ⋮ On chaotic wave patterns in periodically forced steady-state KdVB and extended KdVB equations ⋮ Third order resonances in closed tubes ⋮ The evolution of nonlinear standing waves in bounded media ⋮ Non-linear self-excited acoustic oscillations ⋮ 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 ⋮ Nonlinear resonant wave motion of a weakly relaxing gas ⋮ A review of the multiple scale and reductive perturbation methods for deriving uncoupled nonlinear evolution equations ⋮ Near-resonance oscillations of a gas moving along a channel of variable cross section ⋮ The evolution of a finite rate periodic oscillation ⋮ Nonlinear resonant oscillations of a gas in a tube under the action of a periodically varying pressure ⋮ The evolution of resonant oscillations in closed tubes ⋮ Nonlinear elastic surface gravity waves: Continuous and discontinuous solutions ⋮ A finite-rate theory of quadratic resonance in a closed tube
Cites Work
- On conditions for stability of solutions of pendulum-type equations
- Resonant thermal-acoustic oscillations
- On the equation for a damped pendulum under constant torque
- Nonlinear Oscillations of a Column of Gas
- Resonant Oscillations: A Regular Perturbation Approach
- Pulse Propagation in a Nonlinear Viscoelastic Rod of Finite Length
- Thermally Driven Nonlinear Oscillations in a Pipe with Traveling Shock Waves
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