Interaction force between a bubble and a solid particle in a sound field

Doinikov, Alexander A.; Zavtrak, S. T.

doi:10.1016/s0041-624x(96)00072-8

Cited by 24 publications

(10 citation statements)

References 7 publications

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“…Investigations on this force dates back to the nineteenth century, when Bjerknes studied the mutual force between a pair of bubbles [11], and the analysis performed by König on the acoustic interaction force between two rigid spheres [12]. Subsequently, this force was investigated considering short-range interaction between particles of the types rigid-rigid [13,14], bubble-bubble [15,16], bubble-rigid [17], and bubble-droplet [18]; whereas longrange rigid-rigid [19] and bubble-bubble [20,21] interactions have also been studied. The acoustic interaction force between two droplets aligned relative to an incident plane wave with arbitrary inter-particle distance was also analyzed [22].…”

Section: Introductionmentioning

confidence: 99%

Acoustic interaction forces between small particles in an ideal fluid

2014

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We present a theoretical expression for the acoustic interaction force between small spherical particles suspended in an ideal fluid exposed to an external acoustic wave. The acoustic interaction force is the part of the acoustic radiation force on one given particle involving the scattered waves from the other particles. The particles, either compressible liquid droplets or elastic microspheres, are considered to be much smaller than the acoustic wavelength. In this so-called Rayleigh limit, the acoustic interaction forces between the particles are well approximated by gradients of pair-interaction potentials with no restriction on the interparticle distance. The theory is applied to studies of the acoustic interaction force on a particle suspension in either standing or traveling plane waves. The results show aggregation regions along the wave propagation direction, while particles may attract or repel each other in the transverse direction. In addition, a mean-field approximation is developed to describe the acoustic interaction force in an emulsion of oil droplets in water.

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Section: Introductionmentioning

confidence: 99%

Acoustic interaction forces between small particles in an ideal fluid

2014

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“…Most of the theoretical work deals with bubble-bubble interactions; for reviews see Crum (1975), Pelekasis & Tsamopoulos (1993a, b), Doinikov & Zavtrak (1995, and Mettin et al (1997). There are also papers on the interaction forces between particles of different nature (König 1891;Embleton 1962;Mednikov 1965;Weiser & Apfel 1984;Doinikov & Zavtrak 1996;Doinikov 1996).…”

Section: Introductionmentioning

confidence: 99%

Acoustic radiation interparticle forces in a compressible fluid

Doinikov

2001

J. Fluid Mech.

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An analytical expression is derived for the time-averaged radiation force induced by an acoustic wave field between N particles freely suspended in a fluid. Both the host fluid and the medium inside the particles are assumed to be ideal compressible fluids. The incident field is assumed to be moderate so that the scattered and refracted fields of the particles can be taken to linear approximation. Multiple re-scattering of sound between the particles and shape modes of all orders are allowed for. No restrictions are imposed on the size of the particles, the separation distances between them and their number. The present study substantially extends the existing theory, which is based on essential simplifications and valid only for pairwise interactions. In particular, the new theory allows one to follow continuously the evolution of the radiation interaction force from large to small separation distances. The general results are illustrated in the case of two air bubbles in water. It is shown that generally the interbubble force behaves in far more complicated way than is predicted by the classical Bjerknes theory.

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“…Since the relative position of the lower particle does not significantly change the force on the upper one (Figure 5b), the relative movement between the upper and middle particles resembles to the case of two particles where one is fixed. According to Silva and Bruce's analytical model [49], the interaction force of Rayleigh scatters (ka << 1) only depends on distance between the source and the probe. Our numerical results show that the constraint of ka << 1 can be extended to ka < 2 for Rayleigh limit, which applies to the majority targets in acoustofuidics.…”

Section: Acoustic Interactions Between Massive Particlesmentioning

confidence: 99%

“…The bubble dynamics for different pressure amplitudes, particle sizes, and separation distances were analysed, which gave plausible explanations for the formation of bubble grapes and acoustic streamers observed in the corresponding experiments. Later, Doinikov extended the interaction force theory to a general form that allows for particles with different nature (bubble-drop, bubble-solid, and drop-drop) [47][48][49]. Departing from here, the studies of the secondary ARF theory returned to solving the acoustic scattering problem, but this time with multiple obstacles.…”

Section: Introductionmentioning

confidence: 99%

Inter-Particle Effects with a Large Population in Acoustofluidics

Jia

Wang

et al. 2020

Actuators

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The ultrasonic manipulation of cells and bioparticles in a large population is a maturing technology. There is an unmet demand for improved theoretical understanding of the particle–particle interactions at a high concentration. In this study, a semi-analytical method combining the Jacobi–Anger expansion and two-dimensional finite element solution of the scattering problem is proposed to calculate the acoustic radiation forces acting on massive compressible particles. Acoustic interactions on arrangements of up to several tens of particles are investigated. The particle radius ranges from the Rayleigh scattering limit (ka«1) to the Mie scattering region (ka≈1). The results show that the oscillatory spatial distribution of the secondary radiation force is related to the relative size of co-existing particles, not the absolute value (for particles with the same radius). In addition, the acoustic interaction is non-transmissible for a group of identical particles. For a large number of equidistant particles arranged along a line, the critical separation distance for the attraction force decreases as the number of particles increases, but eventually plateaus (for 16 particles). The range of attraction for the formed cluster is stabilized when the number of aggregated particles reaches a certain value.

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Interaction force between a bubble and a solid particle in a sound field

Cited by 24 publications

References 7 publications

Acoustic interaction forces between small particles in an ideal fluid

Acoustic interaction forces between small particles in an ideal fluid

Acoustic radiation interparticle forces in a compressible fluid

Inter-Particle Effects with a Large Population in Acoustofluidics

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