Simon, G., Andrade, M. A. B., Desmulliez, M. P.Y., Riehle, M. O. and Bernassau, A. L. (2019) Numerical determination of the secondary acoustic radiation force on a small sphere in a plane standing wave field. Micromachines, 10(7), 431. (doi: 10.3390/mi10070431)
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Abstract
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.
| Item Type: | Articles |
|---|---|
| Additional Information: | Funding: This study was partially financially supported by the UK Engineering & Physical Research Council (EPSRC) under the Programme Grant entitled Sonopill (EP/K034537/2). The authors are grateful to São Paulo Research Foundation (grant number 17/27078-0) for its support. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Riehle, Dr Mathis |
| Authors: | Simon, G., Andrade, M. A. B., Desmulliez, M. P.Y., Riehle, M. O., and Bernassau, A. L. |
| College/School: | College of Medical Veterinary and Life Sciences > School of Molecular Biosciences |
| Journal Name: | Micromachines |
| Publisher: | MDPI |
| ISSN: | 2072-666X |
| ISSN (Online): | 2072-666X |
| Copyright Holders: | Copyright © 2019 by the authors |
| First Published: | First published in Micromachines 10(7):e431 |
| Publisher Policy: | Reproduced under a Creative Commons license |
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