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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Simon, Gergely [1, 2] ; Andrade, Marco A. B. [3] ; Desmulliez, Marc P. Y. [1] ; Riehle, Mathis O. [4] ; Bernassau, Anne L. [1]
Total Authors: 5
Affiliation:
[1] Heriot Watt Univ, Sch Engn & Phys Sci, Edinburgh EH14 4AS, Midlothian - Scotland
[2] OnScale Ltd, Glasgow G2 5QR, Lanark - Scotland
[3] Univ Sao Paulo, Inst Phys, BR-05508090 Sao Paulo - Brazil
[4] Univ Glasgow, Ctr Cell Engn, Inst Mol Cell & Syst Biol, Glasgow G12 8QQ, Lanark - Scotland
Total Affiliations: 4
Document type: Journal article
Source: MICROMACHINES; v. 10, n. 7 JUL 2019.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 17/27078-0 - Development of acoustic levitation systems
Grantee:Marco Aurélio Brizzotti Andrade
Support Opportunities: Regular Research Grants