Efficient finite element modeling of radiation forces on elastic particles of arbitrary size and geometry

Journal of the Acoustical Society of America

Volumn 133, Issue 4, 2013, Pages 1885-1893

  Glynne Jones, Peter ^a   Mishra, Puja P ^a   Boltryk, Rosemary J ^a   Hill, Martyn ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC RADIATION FORCE; ACOUSTIC WAVELENGTH; COMPLEX STRUCTURE; ELASTIC PARTICLES; FINITE ELEMENT MODELING; FUTURE APPLICATIONS; RADIATION FORCES; SPHEROIDAL PARTICLES;

ACOUSTIC WAVES; GEOMETRY;

FINITE ELEMENT METHOD;

ARTICLE; COMPUTER SIMULATION; ELASTICITY; EQUIPMENT; EQUIPMENT DESIGN; FINITE ELEMENT ANALYSIS; MATHEMATICAL COMPUTING; MOTION; PRESSURE; RADIATION SCATTERING; SOUND; STATISTICAL MODEL; THEORETICAL MODEL; TIME; ULTRASOUND;

COMPUTER SIMULATION; ELASTICITY; EQUIPMENT DESIGN; FINITE ELEMENT ANALYSIS; LINEAR MODELS; MODELS, THEORETICAL; MOTION; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PRESSURE; SCATTERING, RADIATION; SOUND; TIME FACTORS; ULTRASONICS;

EID: 84876133040     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.4794393     Document Type: Article

References (43)

1. D. Bazou, W. T. Coakley, A. J. Hayes, and S. K. Jackson, Long-term viability and proliferation of alginate-encapsulated 3-D HepG2 aggregates formed in an ultrasound trap., Toxicol. In Vitro 22, 1321-1331 (2008). 10.1016/j.tiv.2008.03.014
2. J. Hultström, O. Manneberg, K. Dopf, H. M. Hertz, H. Brismar, and M. Wiklund, Proliferation and viability of adherent cells manipulated by standing-wave ultrasound in a microfluidic chip Ultrasound Med. Biol. 33, 175-181 (2006).
3. J. Svennebring, O. Manneberg, P. Skafte-Pedersen, H. Bruus, and M. Wiklund, Selective bioparticle retention and characterization in a chip-integrated confocal ultrasonic cavity., Biotechnol. Bioeng. 103, 323-328 (2009). 10.1002/bit.22255
4. P. Glynne-Jones, R. J. Boltryk, M. Hill, F. Zhang, L. Dong, J. S. Wilkinson, T. Brown, T. Melvin, and N. R. Harris, Multi-modal particle manipulator to enhance bead-based bioassays., Ultrasonics 50, 235-239 (2010). 10.1016/j.ultras.2009.09.025
5. C. Ratier and M. Hoyos, Acoustic programming in step-split-flow lateral-transport thin fractionation., Anal. Chem. 82, 1318-1325 (2010). 10.1021/ac902357b
6. P. Augustsson, L. B. Aberg, A. M. K. Sward-Nilsson, and T. Laurell, Buffer medium exchange in continuous cell and particle streams using ultrasonic standing wave focusing., Microchim. Acta 164, 269-277 (2009). 10.1007/s00604-008-0084-4
7. K. A. Garvin, D. C. Hocking, and D. Dalecki, Controlling the spatial organization of cells and extracellular matrix proteins in engineered tissues using ultrasound standing wave fields., Ultrasound Med. Biol. 36, 1919-1932 (2010). 10.1016/j.ultrasmedbio.2010.08.007
8. L. V. King, On the acoustic radiation pressure on spheres., Proc R. Soc. London Ser. A 147, 212-240 (1934). 10.1098/rspa.1934.0215
9. K. Yosioka and Y. Kawasima, Acoustic radiation pressure on a compressible sphere., Acustica 5, 167-173 (1955).
10. L. P. Gorkov, On the forces acting on a small particle in an acoustical field in an ideal fluid., Sov. Phys. Dokl. 6, 773-775 (1962).
11. T. F. W. Embleton, Mean force on a sphere in a spherical sound field. I. Theoretical., J. Acoust. Soc. Am. 26, 40-45 (1954). 10.1121/1.1907286
12. X. C. Chen and R. E. Apfel, Radiation force on a spherical object in the field of a focused cylindrical transducer., J. Acoust. Soc. Am. 101, 2443-2447 (1997). 10.1121/1.418539
13. M. Barmatz and P. Collas, Acoustic radiation potential on a sphere in plane, cylindrical, and spherical standing wave fields., J. Acoust. Soc. Am. 77, 928-945 (1985). 10.1121/1.392061
14. P. J. Westervelt, The theory of steady forces caused by sound waves., J. Acoust. Soc. Am. 23, 312-315 (1951). 10.1121/1.1906764
15. A. A. Doinikov, On the radiation pressure on small spheres., J. Acoust. Soc. Am. 100, 1231-1233 (1996). 10.1121/1.415969
16. A. A. Doinikov, Acoustic radiation force on a spherical particle in a viscous heat-conducting fluid. 1. General formula., J. Acoust. Soc. Am. 101, 713-721 (1997). 10.1121/1.418035
17. L. V. King, On the acoustic radiation pressure on circular discs: Inertia and diffraction corrections., Proc. R. Soc. London Ser. A 153, 1-16 (1935). 10.1098/rspa.1935.0218
18. W. J. Xie and B. Wei, Dynamics of acoustically levitated disk samples., Phys. Rev. E 70, 046611 (2004). 10.1103/PhysRevE.70.046611
19. W. T. Shi and R. E. Apfel, Deformation and position of acoustically levitated liquid drops., J. Acoust. Soc. Am. 99, 1977-1984 (1996). 10.1121/1.415384
20. F. Cai, L. Meng, C. Jiang, Y. Pan, and H. Zheng, Computation of the acoustic radiation force using the finite-difference time-domain method., J. Acoust. Soc. Am. 128, 1617-1622 (2010). 10.1121/1.3474896
21. D. Haydock, Lattice Boltzmann simulations of the time-averaged forces on a cylinder in a sound field., J. Phys. A 38, 3265-3277 (2005). 10.1088/0305-4470/38/15/003
22. F. G. Mitri, Theoretical calculation of the modulated acoustic radiation force on spheres and cylinders in a standing plane wave-field., Physica D 212, 66-81 (2005). 10.1016/j.physd.2005.09.006
23. J. T. Wang and J. Dual, Numerical simulations for the time-averaged acoustic forces acting on rigid cylinders in ideal and viscous fluids., J. Phys. A 42 285502 (2009). 10.1088/1751-8113/42/28/285502
24. P. L. Marston, W. Wei, and D. B. Thiessen, in Innovations in Nonlinear Acoustics, edited by, A. A. Atchley, V. W. Sparrow, and, R. M. Keolian, (AIP, Melville, NY, 2006), Vol. 838, pp. 495-499.
25. T. Hasegawa and K. Yosioka, Acoustic radiation force on a solid elastic sphere., J. Acoust. Soc. Am. 46, 1139-1143 (1969). 10.1121/1.1911832
26. T. Hasegawa, Acoustic radiation force on a sphere in a quasistationary wave field-theory., J. Acoust. Soc. Am. 65, 32-40 (1979). 10.1121/1.382263
27. M. Gröschl, Ultrasonic separation of suspended particles-Part I: Fundamentals., Acustica 84, 432-447 (1998).
28. H. Nowotny, E. Benes, and M. Schmid, Layered piezoelectric resonators with an arbitrary number of electrodes (general one-dimensional treatment)., J. Acoust. Soc. Am. 90, 1238-1245 (1991). 10.1121/1.401915
29. M. Hill, Y. Shen, and J. J. Hawkes, Modelling of layered resonators for ultrasonic separation., Ultrasonics 40, 385-392 (2002). 10.1016/S0041-624X(02) 00127-0
30. M. Hill, R. J. Townsend, and N. R. Harris, Modelling for the robust design of layered resonators for ultrasonic particle manipulation., Ultrasonics 48, 521-528 (2008). 10.1016/j.ultras.2008.06.007
31. R. J. Townsend, M. Hill, N. R. Harris, and N. M. White, Modelling of particle paths passing through an ultrasonic standing wave., Ultrasonics 42, 319-324 (2004). 10.1016/j.ultras.2004.01.025
32. A. Neild, S. Oberti, A. Haake, and J. Dual, Finite element modeling of a microparticle manipulator., Ultrasonics 44, e455-e460 (2006). 10.1016/j.ultras.2006.05.168
33. R. J. Townsend, M. Hill, N. R. Harris, and N. M. White, Investigation of two-dimensional acoustic resonant modes in a particle separator., Ultrasonics 44, e467-e471 (2006). 10.1016/j.ultras.2006.05.025
34. S. M. Hagsater, A. Lenshof, P. Skafte-Pedersen, J. P. Kutter, T. Laurell, and H. Bruus, Acoustic resonances in straight micro channels: Beyond the 1D-approximation., Lab Chip 8, 1178-1184 (2008). 10.1039/b801028e
35. K. A. Fisher and R. Miles, Modeling the acoustic radiation force in microfluidic chambers., J. Acoust. Soc. Am. 123, 1862-1865 (2008). 10.1121/1.2839140
36. S.-T. Kang and C.-K. Yeh, Potential-well model in acoustic tweezers., IEEE Trans. Ultrason. Ferroelectr. Frequency Control, 57, 1451-1459 (2010). 10.1109/TUFFC.2010.1564
37. Y. Y. Liu, J. H. Hu, and C. S. Zhao, Dependence of acoustic trapping capability on the orientation and shape of particles., IEEE Trans. Ultrason. Ferroelectr. Frequency Control 57, 1443-1450 (2010). 10.1109/TUFFC.2010.1563
38. H. Bruus, Theoretical Microfluidics (Oxford University Press, New York, 2008).
39. M. J. Lighthill, Waves in Fluids (Cambridge University Press, New York, 2001).
40. A. Bayliss, M. Gunzburger, and E. Turkel, Boundary-conditions for the numerical-solution of elliptic-equations in exterior regions., SIAM J. Appl. Math. 42, 430-451 (1982). 10.1137/0142032
41. T. Hasegawa, Comparison of two solutions for acoustic radiation pressure on a sphere., J. Acoust. Soc. Am. 61, 1445-1448 (1977). 10.1121/1.381460
42. F. G. Mitri, Acoustic radiation force acting on elastic and viscoelastic spherical shells placed in a plane standing wave field., Ultrasonics 43, 681-691 (2005). 10.1016/j.ultras.2005.03.002
43. W. T. Coakley, D. Bazou, J. Morgan, G. A. Foster, C. W. Archer, K. Powell, K. A. J. Borthwick, C. Twomey, and J. Bishop, Cell-cell contact and membrane spreading in an ultrasound trap., Colloid Surf. B 34, 221-230 (2004). 10.1016/j.colsurfb.2004.01.002