Numerical analysis for nonlinear resonant oscillations of gas in axisymmetric closed tubes

Chun, Young-Doo; Kim, Yang-Hann

doi:10.1121/1.1312363

Cited by 54 publications

(41 citation statements)

References 10 publications

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“…Figs. [4][5][6][7] show that the nonlinearity has a greater effect on the acoustic field in the resonator with an increase in the driving amplitude. In particular, the distributions of the pressure, temperature and velocity become more complex in large amplitude cases (l=510µm and 1040µm), which are completely different from the finite amplitude cases (l=60µm and 120µm).…”

Section: ) and Chester's Results [6] (……) (B) The Experimental Resmentioning

confidence: 99%

Numerical Simulation of Two-Dimensional Large-Amplitude Acoustic Oscillations

Feng¹,

Peng²,

Gong³

et al. 2016

IJHT

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The two-dimensional nonlinear acoustic oscillations in the resonator of four different driving amplitudes are simulated by a gas-kinetic scheme. The shock in the resonator, the effects of the driving amplitude on the acoustic field and flow and the distribution of harmonics are investigated based on the simulaton results. Moreover, this work discusses the reasons for the nonlinear effects such as annular effect and velocity reverse. It is pointed out that the waveforms of the acoustics variables increasingly distort with the driving-amplitude increasing. And it is found that the acoustic field and the flow under the large-amplitude are quite different from those under the finite-amplitude. Moreover, it has been shown that the shock greatly affects the pressure, temperature and the axial velocity and has no effect on the radial velocity. All of this shows that the largeamplitude has a large effect on the nonlinearity in the resonator.

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Section: ) and Chester's Results [6] (……) (B) The Experimental Resmentioning

confidence: 99%

Numerical Simulation of Two-Dimensional Large-Amplitude Acoustic Oscillations

Feng¹,

Peng²,

Gong³

et al. 2016

IJHT

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“…The authors considered the specific case of an exponential horn. Chun and Kim, 5 numerically integrating the 1D conservation equations directly, simulated resonators having several different shapes.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear frequency shifts in acoustical resonators with varying cross sections

Hamilton

Ilinskii

Zabolotskaya

2009

The Journal of the Acoustical Society of America

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The frequency response and nonlinear resonance frequency shift of an acoustical resonator with losses and having a varying cross section were investigated previously using Lagrangian mechanics and perturbation for resonator shapes that are close to cylindrical [M. F. Hamilton, et al., J. Acoust. Soc. Am. 110, 109-119 (2001)]. The same approach is extended here to include resonators having any shape for which the Webster horn equation is a valid model in the linear approximation. Admissible shapes include cones and bulbs proposed for acoustical compressors. The approach is appropriate for approximate but rapid parameter estimations for resonators with complicated shapes, requiring far less computation time than for direct numerical solution of the one-dimensional model equation frequently used for such resonators [Ilinskii et al., J. Acoust. Soc. Am. 104, 2664-2674 (1998)]. Results for cone and bulb shaped resonators with losses are compared with results from the direct numerical solution. The direction of the resonance frequency shift is determined by the efficiency of second-harmonic generation in modes having natural frequencies below versus above the frequency of the second harmonic, and how the net effect of this coupling compares with the frequency shifts due to cubic nonlinearity and static deformation.

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“…In the last several years several papers have been published dealing with numerical models solving the onedimensional equations for a rigid tube. [8][9][10] These models work with strongly nonlinear plane waves and only bulk attenuation is considered. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Numerical and experimental analysis of second-order effects and loss mechanisms in axisymmetrical cavities

Campos-Pozuelo

Elvira

Dubus

2004

The Journal of the Acoustical Society of America

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This paper deals with the analysis of finite amplitude acoustic waves in three-dimensional resonant cavities. A specific finite element model is proposed which includes: ͑i͒ the pressure field nonlinearity using a perturbative method; ͑ii͒ the loss mechanisms using an experimentally determined effective bulk attenuation or modeling viscous and thermal losses at the walls and acoustic radiation through the aperture with complex impedances. An axisymmetrical cavity with transversal dimension larger than the wavelength has been experimentally studied. The acoustic field is generated by a high-power flexurally vibrating transducer which generates high pressures. Measurements are performed for the fundamental and second-order pressure components for several cavity resonance modes. An important standard deviation is observed. Experimental data are compared to predicted pressure field distributions. Numerical models describe the pressure distribution correctly but overestimate the amplitude.

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Numerical analysis for nonlinear resonant oscillations of gas in axisymmetric closed tubes

Cited by 54 publications

References 10 publications

Numerical Simulation of Two-Dimensional Large-Amplitude Acoustic Oscillations

Numerical Simulation of Two-Dimensional Large-Amplitude Acoustic Oscillations

Nonlinear frequency shifts in acoustical resonators with varying cross sections

Numerical and experimental analysis of second-order effects and loss mechanisms in axisymmetrical cavities

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