Numerical and experimental analysis of strongly nonlinear standing acoustic waves in axisymmetric cavities

Vanhille, Christian; Campos-Pozuelo, Cleofé

doi:10.1016/j.ultras.2005.02.001

Cited by 13 publications

(4 citation statements)

References 11 publications

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“…Additionally, Vanhille etc. [9]- [10] has proposed a numerical model for the nonlinear stand wave by expanding the state equation to the second order. This model includes the continuity equation, the momentum equations and the energy equation.…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

Numerical Simulation of Two-Dimensional Large-Amplitude Acoustic Oscillations

Feng¹,

Peng²,

Gong³

et al. 2016

IJHT

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“…Most of the analytical and numerical studies for describing propagation of acoustic waves in fluids have focused on determining the velocity or acoustic pressure field in an ideal gas media like air. In these works, the domain of interest is a one-dimensional tube (Nabavi et al, 2008;Vanhille and Campos-Pozuelo, 2000Vanhille et al, 2004), a rectangular channel (Vanhille and Campos-Pozuelo, 2004a; Wan and Kuznetsov, 2005), an enclosed chamber or tube (Kawahashi and Arakawa, 1996;Aktas and Farouk, 2004;Vanhille and Campos-Pozuelo, 2005;Yano,1999 and2006;Walsh and Torres, 2007), or an open space gap (Loh et al, 2002;Wan and Kuznetsov, 2003) filled with an ideal gas. Vanhille and Campos-Pozuelo (2000, 2004a calculated nonlinear standing wave effects in air for different geometries by using finite-difference method (FDM).…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Acoustic Streaming for Nonlinear Standing Ultrasonic Wave in Water Inside Axisymmetric Enclosure

Tajik

Abbassi

Saffar‐Avval

et al. 2012

Engineering Applications of Computational Fluid Mechanics

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In this paper, acoustic streaming generated by standing waves in a cylindrical enclosure filled with water is simulated. The effects of geometry, vibrating amplitude and frequency on formation of streaming structures are numerically investigated. The vibrating source is located at the central region of the lower plate. This source generates a plane wave at the bottom of the cylinder. The complete Navier-Stokes equations are considered and an explicit finite-difference method is used to track the acoustic waves. Water in this simulation is assumed to be a Newtonian rotational compressible single-phase liquid with an accurate equation of state. Equations are derived in Lagrangian cylindrical coordinates, using the condition of axial symmetry. The variation of acoustic pressure demonstrates a periodic modulation. The shape of the mean flow field in a period of the modulation does not differ significantly from the second period and there is a steady state condition for all periods. Results showed stronger acoustic streaming because of a decrease in enclosure height and decrease in frequencies.In addition, the increase in the enclosure radius or radius of the vibrating plate and the increase in the maximum displacement of the vibrating plate caused higher acoustic streaming velocities.

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“…When a standing wave is induced in a tube, the shape and amplitude of pressure and particle velocity inside the tube are strongly dependent on the amplitude of the excitation signal. Although several papers dealing with the analytical [6][7][8] and numerical [3,[9][10][11][12][13] studies of nonlinear standing waves, as well as experimental investigation of the acoustic pressure in the nonlinear standing wave tube [14,15] can be found in the literature, relatively few experimental investigations have been performed to measure the acoustic velocity fields inside a standing wave resonator.…”

Section: Introductionmentioning

confidence: 99%