Numerical study of frequency mixing in a focused ultrasonic field in bubbly liquids from a dual-frequency spherical source

Sastre, María Teresa Tejedor; Vanhille, Christian

doi:10.1016/j.rinp.2018.10.007

Cited by 3 publications

(5 citation statements)

References 17 publications

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“…With the single-frequency source, the maximal pressure amplitude at 2f with the model from [30] was 40% of the fundamental frequency amplitude f, whereas it is 46% here. In the case of the dual-frequency source, the maximal pressure amplitude at f d with the model from [31] was 5% of the pressure amplitude at the primary frequency f 1 , whereas it is 6% with the current model presented here. ).…”

Section: Dual-frequency Sourcementioning

confidence: 56%

“…It must be noted here that to verify and validate the numerical model presented in this paper, it was used with the parameters given in Sections 3.1 and 3.2 and compared with another model based on a diferent kind of numerical methods, published earlier in the literature [30,31]. Although the numerical model in the above references did not allow to get the same geometrical shape at the source, this comparison led to a quite good concordance.…”

Section: Dual-frequency Sourcementioning

confidence: 81%

“…Tis model is thus able to track in time the behavior of ultrasound in the bubbly medium in nonlinear confgurations. It has a strong advantage over other models [14,30,31], since the FEM allows us to modify the geometrical conditions of the physical problem easily. Tis important beneft will be the topic of future works.…”

Section: Dual-frequency Sourcementioning

confidence: 99%

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Modeling and Simulation of Parametric Nonlinear Focused Ultrasound in Three-Dimensional Bubbly Liquids with Axial Symmetry by a Finite-Element Model

Tejedor Sastre,

Leblanc,

Lavie

et al. 2023

Shock and Vibration

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This paper presents the development of a numerical model able to track in time the behavior of nonlinear focused ultrasound when interacting with tiny gas bubbles in a liquid. Our goal here is to analyze the frequency components of the waves by developing a model that can easily be adapted to the geometrical restrictions and complexities that come out in several application frameworks (sonochemistry, medicine, and engineering). We thus model the behavior of nonlinear focused ultrasound propagating in a liquid with gas bubbles by means of the finite-element method in an axisymmetric three-dimensional domain and the generalized-α method in the time domain. The model solves a differential system derived for the nonlinear interaction of acoustic waves and gas bubble oscillations. The high nonlinearity and dispersion of the bubbly medium hugely affect the behavior of the finite-amplitude waves. These characteristics are used here to generate frequency components of the signals that do not exist at the source through nonlinear mixing (parametric antenna). The ability of the model to work with complex geometries, which is the main advantage of the method, is illustrated through the simulation of nonlinear focused ultrasound in a medium excited from two spherical sources in opposite directions.

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Section: Dual-frequency Sourcementioning

confidence: 56%

Section: Dual-frequency Sourcementioning

confidence: 81%

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Modeling and Simulation of Parametric Nonlinear Focused Ultrasound in Three-Dimensional Bubbly Liquids with Axial Symmetry by a Finite-Element Model

Tejedor Sastre,

Leblanc,

Lavie

et al. 2023

Shock and Vibration

Self Cite

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“…Refs. [11,23] studied the generation of f s from two primary signals only (which can be useful due to its high spatial resolution and accuracy), but here we also analyzed its maximization. The results of this work showed that we could obtain much higher amplitudes of f s by slightly reducing one of the primary frequencies (see Section 3).…”

Section: Methodsmentioning

confidence: 99%

“…The control of the numerous parameters which come into play in the set-up of experimental systems to study the behavior of finite-amplitude ultrasound propagating in liquids with a stable population of gas bubbles is a very difficult task. The development of numerical models able to approximate the nonlinear response of such systems is thus necessary to analyze the generation of harmonics, difference and sum frequencies during the propagation of finite-amplitude acoustic waves in bubbly liquids [19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Maximization of the Sum-Frequency Component from Two Ultrasonic Signals in a Bubbly Liquid

Sastre

Vanhille

2019

Sensors

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Techniques based on ultrasound in nondestructive testing and medical imaging analyze the response of the source frequencies (linear theory) or the second-order frequencies such as higher harmonics, difference and sum frequencies (nonlinear theory). The low attenuation and high directivity of the difference-frequency component generated nonlinearly by parametric arrays are useful. Higher harmonics created directly from a single-frequency source and the sum-frequency component generated nonlinearly by parametric arrays are attractive because of their high spatial resolution and accuracy. The nonlinear response of bubbly liquids can be strong even at relatively low acoustic pressure amplitudes. Thus, these nonlinear frequencies can be generated easily in these media. Since the experimental study of such nonlinear waves in stable bubbly liquids is a very difficult task, in this work we use a numerical model developed previously to describe the nonlinear propagation of ultrasound interacting with nonlinearly oscillating bubbles in a liquid. This numerical model solves a differential system coupling a Rayleigh–Plesset equation and the wave equation. This paper performs an analysis of the generation of the sum-frequency component by nonlinear mixing of two signals of lower frequencies. It shows that the amplitude of this component can be maximized by taking into account the nonlinear resonance of the system. This effect is due to the softening of the medium when pressure amplitudes rise.

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Effective Nonlinearity Parameter and Acoustic Propagation Oscillation Behavior in Medium of Water Containing Distributed Bubbles

Yuezhu

Shi

Anding

2021

2021 OES China Ocean Acoustics (COA)

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Numerical study of frequency mixing in a focused ultrasonic field in bubbly liquids from a dual-frequency spherical source

Cited by 3 publications

References 17 publications

Modeling and Simulation of Parametric Nonlinear Focused Ultrasound in Three-Dimensional Bubbly Liquids with Axial Symmetry by a Finite-Element Model

Modeling and Simulation of Parametric Nonlinear Focused Ultrasound in Three-Dimensional Bubbly Liquids with Axial Symmetry by a Finite-Element Model

Nonlinear Maximization of the Sum-Frequency Component from Two Ultrasonic Signals in a Bubbly Liquid

Effective Nonlinearity Parameter and Acoustic Propagation Oscillation Behavior in Medium of Water Containing Distributed Bubbles

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