Numerical determination of the secondary acoustic radiation force on a small sphere in a plane standing wave field

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)

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 > Institute of Molecular Cell and Systems Biology
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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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
748241Sonopill: minimally invasive gastrointestinal diagnosis and therapyAlexander CochranEngineering and Physical Sciences Research Council (EPSRC)EP/K034537/2ENG - ENGINEERING SYSTEMS POWER & ENERGY