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Numerical Determination of the Secondary Acoustic Radiation Force on a Small Sphere in a Plane Standing Wave Field

1
School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK
2
OnScale Ltd., Glasgow G2 5QR, UK
3
Institute of Physics, University of São Paulo, São Paulo 05508-090, Brazil
4
Institute of Molecular Cell and Systems Biology, Centre for Cell Engineering, University of Glasgow, Glasgow G12 8QQ, UK
*
Author to whom correspondence should be addressed.
Micromachines 2019, 10(7), 431; https://doi.org/10.3390/mi10070431
Received: 7 June 2019 / Revised: 25 June 2019 / Accepted: 26 June 2019 / Published: 29 June 2019
Two numerical methods based on the Finite Element Method are presented for calculating the secondary acoustic radiation force between interacting spherical particles. The first model only considers the acoustic waves scattering off a single particle, while the second model includes re-scattering effects between the two interacting spheres. The 2D axisymmetric simplified model combines the Gor’kov potential approach with acoustic simulations to find the interacting forces between two small compressible spheres in an inviscid fluid. The second model is based on 3D simulations of the acoustic field and uses the tensor integral method for direct calculation of the force. The results obtained by both models are compared with analytical equations, showing good agreement between them. The 2D and 3D models take, respectively, seconds and tens of seconds to achieve a convergence error of less than 1%. In comparison with previous models, the numerical methods presented herein can be easily implemented in commercial Finite Element software packages, where surface integrals are available, making it a suitable tool for investigating interparticle forces in acoustic manipulation devices. View Full-Text
Keywords: secondary acoustic radiation force; scattering effects; 2D and 3D modeling secondary acoustic radiation force; scattering effects; 2D and 3D modeling
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Simon, G.; Andrade, M.A.B.; Desmulliez, M.P.Y.; Riehle, M.O.; Bernassau, A.L. Numerical Determination of the Secondary Acoustic Radiation Force on a Small Sphere in a Plane Standing Wave Field. Micromachines 2019, 10, 431.

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