Acoustic Radiation Pressure

Gol'dberg, Z. A.

doi:10.1007/978-1-4757-5408-7_2

Cited by 20 publications

(6 citation statements)

References 57 publications

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“…Acoustic rectification is manifested as envelope waveforms of an initially purely sinusoidal wave. Rayleigh [1] predicted the existence of the radiation-induced static stress, but Goldberg [2] argued that neither the static stress nor the static strain exists. Brillouin [3] published an extensive theoretical study asserting the necessity of the static stress, but his model does not predict a static strain.…”

Section: Introductionmentioning

confidence: 99%

Envelope solitons in acoustically dispersive vitreous silica

Cantrell

Yost

2012

J. Phys.: Condens. Matter

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Acoustic radiation-induced static strains, displacements, and stresses are manifested as rectified or 'dc' waveforms linked to the energy density of an acoustic wave or vibrational mode via the mode nonlinearity parameter of the material. An analytical model is developed for acoustically dispersive media that predicts the evolution of the energy density of an initial waveform into a series of energy solitons that generates a corresponding series of radiation-induced static strains (envelope solitons). The evolutionary characteristics of the envelope solitons are confirmed experimentally in Suprasil W1 vitreous silica. The value (- 11.9 ± 1.43) for the nonlinearity parameter, determined from displacement measurements of the envelope solitons via a capacitive transducer, is in good agreement with the value (- 11.6 ± 1.16) obtained independently from acoustic harmonic generation measurements. The agreement provides strong, quantitative evidence for the validity of the model.

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Section: Introductionmentioning

confidence: 99%

Envelope solitons in acoustically dispersive vitreous silica

Cantrell

Yost

2012

J. Phys.: Condens. Matter

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“…Numerous researchers [14][15][16][17][18][19][20] have attempted to solve the nonlinear equations of motion using a variety of approaches. A popular approach [14,15] has been an asymptotic iteration procedure whereby one assumes a perturbative expansion for the particle displacement in the form…”

Section: Solution To Nonlinear Wave Equation Revisi1edmentioning

confidence: 99%

“…Some researchers [14,19]] have simply ignored the term, since it was not relevant to their specific research objectives. Others researchers [15,16,20] have considered the term in their analyses, but do not agree on the magnitude of the predicted static displacement. The essential feature of the constant term is that it is time, but not spatially, independent.…”

Section: Solution To Nonlinear Wave Equation Revisi1edmentioning

confidence: 99%

“…Brillouin's theory, while predicting the existence of an acoustic radiation stress, does not predict the existence of an acoustic radiation-induced static strain. Gol'dberg [20] argued that the radiation stress is zero and, inferentially, so is the static strain, while Chu and Apfel [24] identified an "acoustic straining" associated with the radiation stress and calculated a resulting "coefficient of acoustic expansion." The conflicting conclusions drawn from the many arguments made regarding, not just the magnitudes of the radiation stress and strain, but the mere existence of such phenomena prompted Beyer [25] to write: "It might be said that (acoustic) radiation pressure is a phenomenon that the observer thinks he understands -for short intervals, and only every now and then."…”

Section: Solution To Nonlinear Wave Equation Revisi1edmentioning

confidence: 99%

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Materials Characterization Using Acoustic Nonlinearity Parameters and Harmonic Generation: Effects of Crystalline and Amorphous Structures

Cantrell

Yost

1990

Review of Progress in Quantitative Nondestructive Evaluation

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“…These devices rely on the generation of a standing wave in a fluid layer, which causes particles held within this layer to experience acoustic radiation forces [1,2]. These particles will typically migrate towards the acoustic pressure node whereby it is possible to form a concentrate.…”

Section: Introductionmentioning

confidence: 99%

Performance of a quarter-wavelength particle concentrator

et al. 2008

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a b s t r a c tA series of devices have been investigated which use acoustic radiation forces to concentrate micron sized particles. These multi-layered resonators use a quarter-wavelength resonance in order to position an acoustic pressure node close to the top surface of a fluid layer such that particles migrate towards this surface. As flow-through devices, it is then possible to collect a concentrate of particulates by drawing off the particle stream and separating it from the clarified fluid and so can operate continuously as opposed to batch processes such as centrifugation. The methods of construction are described which include a micro-fabricated, wet-etched device and a modular device fabricated using a micro-mill. These use silicon and macor, a machinable glass ceramic, as a carrier layer between the transducer and fluid channel, respectively. Simulations using an acoustic impedance transfer model are used to determine the influence of various design parameters on the acoustic energy density within the fluid layer and the nodal position. Concentration tests have shown up to 4.4-, 6.0-and 3.2-fold increases in concentration for 9, 3 and 1 lm diameter polystyrene particles, respectively. The effect of voltage and fluid flow rates on concentration performance is investigated and helps demonstrate the various factors which determine the increase in concentration possible.

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Acoustic Radiation Pressure

Cited by 20 publications

References 57 publications

Envelope solitons in acoustically dispersive vitreous silica

Envelope solitons in acoustically dispersive vitreous silica

Materials Characterization Using Acoustic Nonlinearity Parameters and Harmonic Generation: Effects of Crystalline and Amorphous Structures

Performance of a quarter-wavelength particle concentrator

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