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Ultrasound-induced acoustophoretic motion of microparticles in three dimensions

Muller, P. B. ; Rossi, M. ; Marin, A. G. ; Barnkob, R. ; Augustsson, Per LU ; Laurell, Thomas LU ; Kaehler, C. J. and Bruus, H. (2013) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 88(2).
Abstract
We derive analytical expressions for the three-dimensional (3D) acoustophoretic motion of spherical microparticles in rectangular microchannels. The motion is generated by the acoustic radiation force and the acoustic streaming-induced drag force. In contrast to the classical theory of Rayleigh streaming in shallow, infinite, parallel-plate channels, our theory does include the effect of the microchannel sidewalls. The resulting predictions agree well with numerics and experimental measurements of the acoustophoretic motion of polystyrene spheres with nominal diameters of 0.537 and 5.33 mu m. The 3D particle motion was recorded using astigmatism particle tracking velocimetry under controlled thermal and acoustic conditions in a long,... (More)
We derive analytical expressions for the three-dimensional (3D) acoustophoretic motion of spherical microparticles in rectangular microchannels. The motion is generated by the acoustic radiation force and the acoustic streaming-induced drag force. In contrast to the classical theory of Rayleigh streaming in shallow, infinite, parallel-plate channels, our theory does include the effect of the microchannel sidewalls. The resulting predictions agree well with numerics and experimental measurements of the acoustophoretic motion of polystyrene spheres with nominal diameters of 0.537 and 5.33 mu m. The 3D particle motion was recorded using astigmatism particle tracking velocimetry under controlled thermal and acoustic conditions in a long, straight, rectangular microchannel actuated in one of its transverse standing ultrasound-wave resonance modes with one or two half-wavelengths. The acoustic energy density is calibrated in situ based on measurements of the radiation dominated motion of large 5-mu m-diameter particles, allowing for quantitative comparison between theoretical predictions and measurements of the streaming-induced motion of small 0.5-mu m-diameter particles. (Less)
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author
; ; ; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
volume
88
issue
2
article number
023006
publisher
American Physical Society
external identifiers
  • wos:000322918700010
  • scopus:84883874034
  • pmid:24032923
ISSN
1539-3755
DOI
10.1103/PhysRevE.88.023006
language
English
LU publication?
yes
id
41366257-6656-4c64-b887-a1ebbaf771f2 (old id 4030646)
date added to LUP
2016-04-01 10:42:52
date last changed
2022-05-18 01:19:50
@article{41366257-6656-4c64-b887-a1ebbaf771f2,
  abstract     = {{We derive analytical expressions for the three-dimensional (3D) acoustophoretic motion of spherical microparticles in rectangular microchannels. The motion is generated by the acoustic radiation force and the acoustic streaming-induced drag force. In contrast to the classical theory of Rayleigh streaming in shallow, infinite, parallel-plate channels, our theory does include the effect of the microchannel sidewalls. The resulting predictions agree well with numerics and experimental measurements of the acoustophoretic motion of polystyrene spheres with nominal diameters of 0.537 and 5.33 mu m. The 3D particle motion was recorded using astigmatism particle tracking velocimetry under controlled thermal and acoustic conditions in a long, straight, rectangular microchannel actuated in one of its transverse standing ultrasound-wave resonance modes with one or two half-wavelengths. The acoustic energy density is calibrated in situ based on measurements of the radiation dominated motion of large 5-mu m-diameter particles, allowing for quantitative comparison between theoretical predictions and measurements of the streaming-induced motion of small 0.5-mu m-diameter particles.}},
  author       = {{Muller, P. B. and Rossi, M. and Marin, A. G. and Barnkob, R. and Augustsson, Per and Laurell, Thomas and Kaehler, C. J. and Bruus, H.}},
  issn         = {{1539-3755}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}},
  title        = {{Ultrasound-induced acoustophoretic motion of microparticles in three dimensions}},
  url          = {{http://dx.doi.org/10.1103/PhysRevE.88.023006}},
  doi          = {{10.1103/PhysRevE.88.023006}},
  volume       = {{88}},
  year         = {{2013}},
}