Radiation force due to a spherical sound field on a rigid sphere in a viscous fluid

1994 ◽  
Vol 96 (5) ◽  
pp. 3100-3105 ◽  
Author(s):  
Alexander A. Doinikov
Keyword(s):  
Viscous Fluid ◽  
Sound Field ◽  
Radiation Force ◽  
Rigid Sphere

Acoustic radiation pressure on a rigid sphere in a viscous fluid

1994 ◽  
Vol 447 (1931) ◽  
pp. 447-466 ◽  
Keyword(s):  
Viscous Fluid ◽  
Radiation Pressure ◽  
Special Interest ◽  
Acoustic Radiation ◽  
Sound Field ◽  
Radiation Force ◽  
Acoustic Radiation Force ◽  
Rigid Sphere ◽  
Sphere Radius ◽  
Acoustic Radiation Pressure

The acoustic radiation pressure exerted by an axisymmetric sound field on a rigid sphere suspended freely in a viscous fluid is calculated, the sphere being considered as having an arbitrary radius relative to the sound and viscous wavelengths. The limiting cases of special interest are then investigated, namely, the acoustic radiation force due to a plane progressive and plane standing wave is examined for the limiting cases when the sound wavelength is much more than both the sphere radius and the viscous wavelength and the sphere radius is, in its turn, small or large compared with the viscous wavelength. It is shown that the influence of the viscosity of the fluid surrounding the sphere on the radiation force can be quite considerable in both a quantitative and a qualitative sense. The case of a fastened sphere is also considered.

scholarly journals Mathematical modeling and experimental study on solid–liquid suspension separation in ultrasonic standing wave field

2021 ◽  
pp. 146134842110229
Author(s):  
Yajing Wang ◽  
Liqun Wu ◽  
Yaxing Wang ◽  
Yafei Fan
Keyword(s):  
Standing Wave ◽  
Sound Pressure ◽  
Acoustic Radiation ◽  
Sound Field ◽  
Radiation Force ◽  
High Energy ◽  
Factors Affecting ◽  
Liquid Suspension ◽  
Ultrasonic Standing Wave ◽  
Solid Liquid

A new method of removing waste chips is proposed by focusing on the key factors affecting the processing quality and efficiency of high energy beams. Firstly, a mathematical model has been established to provide the theoretical basis for the separation of solid–liquid suspension under ultrasonic standing wave. Secondly, the distribution of sound field with and without droplet has been simulated. Thirdly, the deformation and movement of droplets are simulated and tested. It is found that the sound pressure around the droplet is greater than the sound pressure in the droplet, which can promote the separation of droplets and provide theoretical support for the ultrasonic suspension separation of droplet; under the interaction of acoustic radiation force, surface tension, adhesion, and static pressure, the droplet is deformed so that the gas fluid around the droplet is concentrated in the center to achieve droplet separation, and the droplet just as a flat ball with a central sag is stably suspended in the acoustic wave node.

Brownian dynamics simulation of the motion of a rigid sphere in a viscous fluid very near a wall

2000 ◽  
Vol 113 (20) ◽  
pp. 9268-9278 ◽  
Author(s):  
David S. Sholl ◽  
Michael K. Fenwick ◽  
Edward Atman ◽  
Dennis C. Prieve
Keyword(s):  
Viscous Fluid ◽  
Brownian Dynamics ◽  
Dynamics Simulation ◽  
Rigid Sphere ◽  
Brownian Dynamics Simulation

The radiation force on a rigid sphere in standing surface acoustic waves

2018 ◽  
Vol 124 (10) ◽  
pp. 104503 ◽  
Author(s):  
Shen Liang ◽  
Wang Chaohui ◽  
Hu Qiao
Keyword(s):  
Acoustic Waves ◽  
Surface Acoustic Waves ◽  
Radiation Force ◽  
Rigid Sphere

Performance and Robustness Improvements in Ultrasonic Transportation Against Large-Scale Streaming

2016 ◽  
Vol 138 (2) ◽  
Author(s):  
Kun Jia ◽  
Ke-ji Yang ◽  
Bing-Feng Ju
Keyword(s):  
Elastic Constant ◽  
Lead Zirconate Titanate ◽  
Large Scale ◽  
Acoustic Radiation ◽  
Plane Waves ◽  
Acoustic Streaming ◽  
Sound Field ◽  
Radiation Force ◽  
Lead Zirconate ◽  
Potential Well

Acoustic streaming generated from the traveling-wave component of a synthesized sound field often has considerable influence on ultrasonic manipulations, in which the behavior of microparticles may be disturbed. In this work, the large-scale streaming pattern in a chamber with three incident plane waves is simulated, illustrating a directional traveling stream pattern and several vortical structures. Based on the numerical results, the trapping capability of an acoustic potential well is quantitatively characterized according to several evaluation criteria: the boundary and elastic constant of the acoustic potential well, the acoustic radiation force offset ratio, and the elastic constant offset ratio. By optimizing these parameters, the constraint of the acoustic potential well can be strengthened to promote the performance and robustness of the ultrasonic transportation. An ultrasonic manipulation device employing three 1.67-MHz lead zirconate titanate (PZT) transducers with rectangular radiation surface is prototyped and performance tested. The experimental results show that the average fluctuations of a microparticle during transportation have been suppressed into a region less than 0.01 times the wavelength. Particle displacement from equilibrium is no longer observed.

scholarly journals Reconstruction of transient pressure and acceleration over a tire surface using the inverse time domain boundary element method

2019 ◽  
Vol 283 ◽  
pp. 04014
Author(s):  
Yang Zhang ◽  
Chuanxing Bi ◽  
Xiaozheng Zhang ◽  
Yongbin Zhang ◽  
Liang Xu
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Time Domain ◽  
Domain Boundary ◽  
Sound Field ◽  
Rigid Sphere ◽  
Transient Pressure ◽  
Retarded Time ◽  
Reconstructed Surface ◽  
Element Method

The inverse time domain boundary element method (ITBEM) that is derived from the direct time domain boundary element method by eliminating the retarded time is able to reconstruct the transient pressure and flux on the surface of an arbitrarily shaped source by measuring the pressure on a hologram surface. In the present work, the ITBEM is applied to reconstruct the transient pressure and acceleration over the surface of a tire which is supported away from the ground in a semi-anechoic chamber. The tire is impacted by a rigid sphere to generate a transient sound field, and the measurement is controlled by a trigger which is connected to an acceleration sensor stuck on the surface of the tire. The pressure and acceleration on the surface of the tire are reconstructed from the holographic pressure measured by array microphones. By visualizing the pressure and acceleration with respect to the elapsed time, the wave propagation phenomenon of the pressure and acceleration on the surface of the tire is shown clearly. The comparison of the reconstructed surface acceleration to the measured one demonstrates the effectiveness of ITBEM for transient sound field reconstruction.

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