Nonlinear dynamics of a solid particle in an acoustically excited viscoelastic fluid. I. Acoustic streaming

Doinikov, Alexander A.; Fankhauser, Jonas; Dual, Jürg

doi:10.1103/physreve.104.065107

Cited by 6 publications

(4 citation statements)

References 28 publications

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“…An important advance of the analytical theory of F rad was made by Doinikov, who in 1994 and 1997 replaced the ideal fluid with a viscous and heat conducting fluid and studied a rigid heat conducting solid particle and a viscous and heat conducting fluid particle and took both acoustic scattering and streaming into account [4][5][6][7][8]. More recently, further developments to the theory have been made by Settnes and Bruus in 2012 [9] and by Karlsen and Bruus in 2015 [10], who studied F rad for compressible particles in viscous and thermoviscous fluids, respectively, considering the acoustic scattering, but not the streaming, and by Doinikov, Fankhauser, and Dual in 2021, who studied an elastic solid particle in a viscoelastic fluid [11].…”

Section: Introductionmentioning

confidence: 99%

Acoustic radiation force on a spherical thermoviscous particle in a thermoviscous fluid including scattering and microstreaming

Winckelmann

Bruus

2023

Phys. Rev. E

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We derive general analytical expressions for the time-averaged acoustic radiation force on a small spherical particle suspended in a fluid and located in an axisymmetric incident acoustic wave. We treat the cases of the particle being either an elastic solid or a fluid particle. The effects of particle vibrations, acoustic scattering, acoustic microstreaming, heat conduction, and temperature-dependent fluid viscosity are all included in the theory. Acoustic streaming inside the particle is also taken into account for the case of a fluid particle. No restrictions are placed on the widths of the viscous and thermal boundary layers relative to the particle radius. We compare the resulting acoustic radiation force with that obtained from previous theories in the literature, and we identify limits, where the theories agree, and specific cases of particle and fluid materials, where qualitative or significant quantitative deviations between the theories arise.

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Section: Introductionmentioning

confidence: 99%

Acoustic radiation force on a spherical thermoviscous particle in a thermoviscous fluid including scattering and microstreaming

Winckelmann

Bruus

2023

Phys. Rev. E

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“…On the one hand, to analyze the effect of viscosity on the ultrasonic stress transient response, the data in table 2 were regarded as the initial simulation conditions according to [25]. As shown in figure 11, when the relaxation time is constant, increasing the viscosity can reduce the velocity of flow disturbance (see figure 11(b)).…”

Section: Influence Of Viscoelasticity On Ultrasonic Propagationmentioning

confidence: 99%

Influence of viscoelasticity on ultrasonic propagation in poly(ethylene oxide) aqueous solution

Wu¹,

Huang²,

Liang³

et al. 2023

J. Phys. D: Appl. Phys.

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Generally, ultrasonic propagation in ultrasonic non-destructive testing is regarded as a linear process, during which the interaction between ultrasonic and the measured material is rarely considered. In this study, the mechanisms of ultrasonic propagation in viscoelastic Poly(ethylene oxide) (PEO) aqueous solution and the interaction between ultrasound and fluid were investigated. A theoretical model of ultrasonic propagation in the viscoelastic fluid was established, which added the body force from ultrasonic waves to the fluid momentum equation, and the viscoelasticity of fluid was described by the Oldroyd-B model. The simulation results in the ultrasonic reflection coefficient at the solid-liquid boundary and attenuation coefficient based on the multi-physics coupling method were experiment verified. The results of this study show that the ultrasonic absorption coefficient at low frequencies from 2.25~7.5MHz exhibits frequency dependence through ultrasonic relaxation spectroscopy. The simulation results of the velocity of disturbed flow during ultrasonic propagation show that the viscosity of the solution has a greater impact on the disturbance than the relaxation time, and the phase angle difference between the stress and strain also shows that the viscosity is the main factor affecting the ultrasonic propagation.

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“…Doinikov published two series of papers taking into account the effects of fluid viscosity [4,5] in 1994 and the effects of heat conduction [6][7][8] in 1997, where he included both the linear scattering of the acoustic wave and the nonlinear steady acoustic microstreaming developing around the particle. More recent developments were made by Settnes and Bruus in 2012 [9]; Karlsen and Bruus in 2015 [10]; and Doinikov, Fankhauser, and Dual in 2021 [11]. A detailed study of F rad on small particles in a thermoviscous fluid was conducted in our recent work [12].…”

Section: Introductionmentioning

confidence: 98%

Acoustic radiation force on a heated spherical particle in a fluid including scattering and microstreaming from a standing ultrasound wave

Winckelmann,

Bruus

2023

Phys. Rev. E

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Analytical expressions are derived for the time-averaged, quasisteady, acoustic radiation force on a heated, spherical, elastic, solid microparticle suspended in a fluid and located in an axisymmetric incident acoustic wave. The heating is assumed to be spherically symmetric, and the effects of particle vibrations, sound scattering, and acoustic microstreaming are included in the calculations of the acoustic radiation force. It is found that changes in the speed of sound of the fluid due to temperature gradients can significantly change the force on the particle, particularly through perturbations to the microstreaming pattern surrounding the particle. For some fluid-solid combinations, the effects of particle heating even reverse the direction of the force on the particle for a temperature increase at the particle surface as small as 1 K.

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Nonlinear dynamics of a solid particle in an acoustically excited viscoelastic fluid. I. Acoustic streaming

Cited by 6 publications

References 28 publications

Acoustic radiation force on a spherical thermoviscous particle in a thermoviscous fluid including scattering and microstreaming

Acoustic radiation force on a spherical thermoviscous particle in a thermoviscous fluid including scattering and microstreaming

Influence of viscoelasticity on ultrasonic propagation in poly(ethylene oxide) aqueous solution

Acoustic radiation force on a heated spherical particle in a fluid including scattering and microstreaming from a standing ultrasound wave

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