Theoretical and numerical calculation of the acoustic radiation force acting on a circular rigid cylinder near a flat wall in a standing wave excitation in an ideal fluid

Ultrasonics

Volumn 52, Issue 2, 2012, Pages 325-332

  Wang, Jingtao ^a   Dual, Jurg ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

Acoustic radiation force; Finite Volume Method; Standing wave; Wall effect

Indexed keywords

ACOUSTIC RADIATION FORCE; ANALYTICAL METHOD; APPROXIMATE SOLUTION; IDEAL FLUIDS; NUMERICAL CALCULATION; NUMERICAL SOLUTION; RIGID CYLINDER; STANDING WAVE; THEORETICAL SOLUTIONS; UNSTRUCTURED TRIANGULAR MESHES; WALL EFFECTS;

ACOUSTIC EMISSIONS; ACOUSTIC RADIATORS; ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE TRANSMISSION; COMPUTER SIMULATION; CYLINDERS (SHAPES); ELASTIC WAVES; FINITE VOLUME METHOD; WAVES;

NUMERICAL METHODS;

ACOUSTICS; ARTICLE; PARTICLE SIZE; THEORETICAL MODEL; ULTRASOUND;

ACOUSTICS; MODELS, THEORETICAL; PARTICLE SIZE; ULTRASONICS;

EID: 81855175337     PISSN: 0041624X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ultras.2011.09.002     Document Type: Article

References (33)

1. A. Haake Positioning, displacement, and localization of cells using ultrasonic forces Biotechnology and Bioengineering 92 1 2005 8 14 (Pubitemid 41657582)
2. T. Laurell, F. Petersson, and A. Nilsson Chip integrated strategies for acoustic separation manipulation of cells particles Chemical Society Reviews 36 3 2007 492 506
3. S. Oberti, A. Neild, and J. Dual Manipulation of micrometer sized particles within a mircromachined fluidic device to form two-dimensional patterns using ultrasound Journal of the Acoustical Society of America 121 2 2007 778 785 (Pubitemid 46192680)
4. L.P. Gor'kov On the forces acting on a small particle in an acoustical field in an ideal fluid Soviet Physics - Doklady 6 9 1962 773 775
5. M. Hill, R.J. Townsend, and N.R. Harris Modelling for the robust design of layered resonators for ultrasonic particle manipulation Ultrasonics 48 6-7 2008 521 528
6. R.J. Townsend Performance of a quarter-wavelength particle concentrator Ultrasonics 48 2008 515 520
7. L.V. King, On the acoustic radiation pressure on spheres, in: Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, vol. 147, 1934, pp. 212-240.
8. K. Yosioka, and Y. Kawasima Acoustic radiation pressure on compressible sphere Acustica 5 1955 167 173
9. T. Hasegawa, and K. Yosioka Acoustic radiation force on a solid elastic sphere Journal of the Acoustical Society of America 63 1969 1139 1143
10. F.G. Mitri, and Z.E.A. Fellah New expressions for the radiation force function of spherical targets in stationary and quasi-stationary waves Archive of Applied Mechanics 77 2007 1 9 (Pubitemid 44876858)
11. J. Awatani Study on Acoustic Pressure (VI), Radiation Pressure on a Cylinder vol. 12 1955 Memoirs of the Institute of Scientific and Industrial Research Osaka University pp. 95-102
12. T. Hasegawa Acoustic radiation force experienced by a solid cylinder in a plane progressive sound field Journal of the Acoustical Society of America 83 5 1988 1770 1775
13. J. Wu, and G. Du Acoustic radiation pressure on a rigid cylinder: an analytical theory and experiments Journal of the Acoustical Society of America 87 2 1990 581 586 (Pubitemid 20129699)
14. D. Haydock Calculation of the radiation force on a cylinder in a standing wave acoustic field Journal of Physics A: Mathematical and General 38 2005 3279 3285 (Pubitemid 41236946)
15. W. Wei, D.B. Thiessen, and P.L. Marston Acoustic radiation force on a compressible cylinder in a standing wave Journal of the Acoustical Society of America 116 1 2004 201 208 (Pubitemid 38922813)
16. F.G. Mitri, and S. Chen Theory of dynamic acoustic radiation force experienced by solid cylinders Physical Reviews E 71 1 2005 016306
17. C.A. Bjerknes Hydrodynamische Fernkrafte 1915 Engelmann Leipzig
18. L.A. Crum Bjerknes forces on bubbles in a stationary sound field Journal of the Acoustical Society of America 57 6 1975 1363 1370
19. A.A. Doinikov, and S.T. Zavtrak On the mutual interaction of two bubbles in a sound field Physics of Fluids 7 8 1995 1923 1930
20. A.A. Doinikov, and S.T. Zavtrak Radiation forces between two bubbles in a compressible liquid Journal of the Acoustical Society of America 102 3 1997 1424 1431 (Pubitemid 27391323)
21. A.A. Doinikov Bjerknes forces between two bubbles in a viscous fluid Journal of the Acoustical Society of America 106 6 1999 3305 3312 (Pubitemid 129520694)
22. A.A. Doinikov Viscous effects on the interaction force between two small gas bubbles in a weak acoustic field Journal of the Acoustical Society of America 111 4 2002 1604 1609
23. M.A.H. Weiser, and R.E. Apfel Interparticle forces on red cells in a standing wave field Acustica 56 1984 114 119 (Pubitemid 15427558)
24. X. Zheng, and R.E. Apfel Acoustic interaction forces between two fluid spheres in an acoustic field Journal of the Acoustical Society of America 97 4 1995 2218 2226
25. R.J. Townsend Modelling of particle paths passing through an ultrasonic standing wave Ultrasonics 42 2004 319 324
26. A. Neild Finite element modeling of a microparticle manipulator Ultrasonics 44 2006 e455 e460
27. J.A. Cosgrove Numerical simulation of particle motion in an ultrasound field using the lattice Boltzmann model Ultrasonics 43 2004 21 25
28. D. Haydock Lattice Boltzmann simulations of the time-averaged forces on a cylinder in a sound field Journal of Physics A: Mathematical and General 38 2005 3265 3277 (Pubitemid 41236945)
29. F.Q. Hu, X.D. Li, and D.K. Lin Absorbing boundary conditions for nonlinear Euler and Navier-Stokes equations based on the perfectly matched layer technique Journal of Computational Physics 227 2008 4398 4424
30. A.D. Pierce Acoustics, an Introduction to Its Physical Principles and Applications 1981 McGraw Hill New York
31. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions. National Bureau of Standards Applied Mathematics Series 55, Washington, DC, 1964.
32. J. Wang, and J. Dual Numerical simulations for the time-averaged acoustic forces acting on rigid cylinders in ideal and viscous fluids Journal of Physics A: Mathematical and General 42 28 2009 285502
33. A. Jameson, W. Schmidt, E. Turkel, Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes, AIAA paper 81-1259, 1981.