Determination of acoustical nonlinear parameter β of water using the finite amplitude method

Pantea, Cristian; Osterhoudt, Curtis F.; Sinha, Dipen N.

doi:10.1016/j.ultras.2013.01.008

Cited by 35 publications

(24 citation statements)

References 18 publications

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“…Pantea et al 19 measured the nonlinear parameter β of water using the slope of experimental data in the near-field region of a piston transducer. The experimental data shown in Fig.…”

Section: Aip Advances 5 097179 (2015)mentioning

confidence: 99%

Significance of accurate diffraction corrections for the second harmonic wave in determining the acoustic nonlinearity parameter

et al. 2015

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The accurate measurement of acoustic nonlinearity parameter β for fluids or solids generally requires making corrections for diffraction effects due to finite size geometry of transmitter and receiver. These effects are well known in linear acoustics, while those for second harmonic waves have not been well addressed and therefore not properly considered in previous studies. In this work, we explicitly define the attenuation and diffraction corrections using the multi-Gaussian beam (MGB) equations which were developed from the quasilinear solutions of the KZK equation. The effects of making these corrections are examined through the simulation of β determination in water. Diffraction corrections are found to have more significant effects than attenuation corrections, and the β values of water can be estimated experimentally with less than 5% errors when the exact second harmonic diffraction corrections are used together with the negligible attenuation correction effects on the basis of linear frequency dependence between attenuation coefficients, α2 ≃ 2α1.

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“…Pantea et al 19 measured the nonlinear parameter β of water using the slope of experimental data in the near-field region of a piston transducer. The experimental data shown in Fig.…”

Section: Aip Advances 5 097179 (2015)mentioning

confidence: 99%

Significance of accurate diffraction corrections for the second harmonic wave in determining the acoustic nonlinearity parameter

et al. 2015

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“…[9][10][11] In the FA method, an acoustic wave of a particular frequency, f 1 , is launched in a nonlinear medium and the amplitude of the second harmonic with frequency 2· f 1 is recorded. The more nonlinear a medium is, the higher the observed amplitude of the second (and higher) harmonic.…”

Section: Introductionmentioning

confidence: 99%

“…• C. 3,[11][12][13][14][15][16] The present work is motivated in part by the need to determine B/A at higher temperatures to enable technological applications in downhole geothermal or petroleum boreholes. The 523 K temperature limit of this work was chosen because it is representative of the higher temperatures observed at depths up to 10 km in the continental United States.…”

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confidence: 99%

Measured sound speeds and acoustic nonlinearity parameter in liquid water up to 523 K and 14 MPa

2016

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Sound speed in liquid water at temperatures between 275 and 523 K and pressures up to 14 MPa were experimentally determined using a high temperature/high pressure capable acoustic resonance cell. The measurements enabled the determination of the temperature and pressure dependence of sound speed and thus the parameter of acoustic nonlinearly, B/A, over this entire P-T space. Most of the sound speeds measured in this work were found to be within 0.4% of the IAPWS-IF97 formulation, an international standard for calculating sound speed in water as a function of temperature and pressure. The values for B/A determined at laboratory ambient pressure and at temperatures up to 356 K, were found to be in general agreement with values calculated from the IAPWS-IF97 formulation. Additionally, B/A at 293 K was found to be 4.6, in agreement with established literature values. C 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license

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“…25,26 If small deformations are assumed and plastic flow neglected, the following elasticity governing equations that relate the quantities in Table I are the starting point of the detailed derivation provided in the supplementary material 27 and summarized here: the equilibrium, compatibility and constitutive equations, respectively,…”

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confidence: 99%

“…As an illustrative example of the prediction of the hydrostatic pressure phenomenon, the ultrasonic pressure that generates a 10 mm piezometric height using a 95% duty cycle is experimentally estimated from 25,26 ) predicts 348 kPa, whereas the formerly believed viscosity-based Reynolds streaming (R, Eq. (9)) predicts 1181 kPa.…”

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confidence: 99%

Nature of acoustic nonlinear radiation stress

Rus

2014

Applied Physics Letters

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When a fluid is insonified with ultrasound, a flow consequence of a net stress becomes observable, which has been described as acoustic streaming, quartz wind, acoustic radiation force, or acoustic fountain. Following Sir James Lighthill's formulation of the Reynold's streaming, these phenomena have been attributed to a cumulative viscous effect. Instead, a multiscale effect, whereby the constitutive elastic nonlinearity scales from the ultrasonic to the macroscopic time, is here proposed and formulated to explain its origin. This raises an additional term in the Navier-Stokes equation, which ultimately stems from the anharmonicity of the atomic potential. In our experimental validation, this theory is consistent in water and for a range of ultrasonic configurations, whereas the formerly established viscous theory fails by an order of magnitude. This ultrasonic-fluid interaction, called nonlinear mechanical radiation since it is able to remotely exert a stress field, correctly explains a wide range of industrial and biomedical active ultrasonic uses including jet engines, acoustic tweezers, cyanobacteria propulsion mechanisms, nanofluidics, or acoustic radiation force elastography.

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Determination of acoustical nonlinear parameter β of water using the finite amplitude method

Cited by 35 publications

References 18 publications

Significance of accurate diffraction corrections for the second harmonic wave in determining the acoustic nonlinearity parameter

Significance of accurate diffraction corrections for the second harmonic wave in determining the acoustic nonlinearity parameter

Measured sound speeds and acoustic nonlinearity parameter in liquid water up to 523 K and 14 MPa

Nature of acoustic nonlinear radiation stress

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