Abstract
Complex dynamics of microparticles and gaseous bubbles in an acoustic field caused by the period-averaged radiation force is considered. Recent results concerning the effects of particles’ concentration and mixing in plane and cylindrical resonators are discussed; the theory is compared with available experimental data. Modern biomedical and other applications are briefly outlined.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Acoustic Tweezers. https://en.wikipedia.org/wiki/Acoustic_tweezers
Angilella, J.-R., Case, D.J., Motter, A.E.: Levitation of heavy particles against gravity in asymptotically downward flows. Chaos 27(031103), 6p (2017)
Aksenov, A.V., Petrov, A.G., Shunderyuk, M.M.: The motion of solid particles in a fluid in a nonlinear ultrasonic standing wave. Doklady Phys. 56(7), 379–384 (2011)
Basset, A.B.: On the motion of a sphere in a viscous liquid. Philos. Trans. R. Soc. Lond. A 179, 43–63 (1888)
Belyaeva, I.Y.: Self-focusing effect in a liquid with gas bubbles. Acoust. Phys. 39(6), 520–522 (1993)
Beyer, R.T.: Lord Rayleigh and nonlinear acoustics. J. Acoust. Soc. Am. 98, 3032–3034 (1995)
Beyer, R.T.: Nonlinear Acoustics. Acoustical Society of America, NY (1997)
Bjerknes, V.: Vorlesungen über Hydrodynamische Ferncräfte. Leipzig (1900); Bjerknes, V.F.K.: Fielh of Force. Columbia University Press (1906)
Boussinesq, J.: Sur la resistance que oppose un liquide indefini en repos, sans pesanteur, au mouvement varie d’une sphere solide qu’il mouille sur toute sa surface, quand les vitesses restent bien continues et assez faibles pour que leurs carres et produits soient negligeables. Compt. Rend. Acad. Sci. Paris 100, 935–937 (1885)
Brennen, C.E.: Cavitation and Bubble Dynamics. Oxford University Press (1995)
Bunkin, F.V., Kravtsov, Yu.A., Lyakhov, G.A.: Acoustic Analogues of Nonlinear-Optics Phenomena, vol. 29, no. 7, pp. 607–619 (1986)
Ding, X., Lin, S.-C. S., Li, S., Wang, L., Huang, T.J.: Manipulating single particles using standing surface acoustic waves. In: Proceedings of 16th International Conference on Miniaturized Systems for Chemistry and Life Sciences, Okinawa, Japan, Paper ID No. 1307 (2012)
Ding, X., Peng, Z., Lin, S.-C.S., Geri, M., Li, S., Li, P., Chen, Y., Dao, M., Suresh, S., Huang, T.J.: Cell separation using tilted-angle standing surface acoustic waves. PNAS 111(36), 12992–12997 (2014)
Doinikov, A.A.: Mathematical model for collective bubble dynamics in strong ultrasound fields. J. Acoust. Soc. Am. 116(2), 821–827 (2004)
Druzhinin, O.A., Ostrovsky, L.A., Stepanyants, YuA: Dynamics of particles in the steady flows of an inviscid fluid. Chaos 3, 359–367 (1993)
Druzhinin, O.A., Ostrovsky, L.A.: The influence of Basset force on particle dynamics in two-dimensional flows. Phys. D 76, 34–43 (1994)
Gor’kov, L.P.: On the forces acting on a small particle in an acoustic field in an ideal fluid. Sov. Phys. Dokl. 6, 773–775 (1962)
Hassan, H.K., Ostrovsky, L.A., Stepanyants, Y.A.: Particle dynamics in a viscous fluid under the action of acoustic radiation force. Discontinuity Nonlinearity Complexity 6(3) (2017)
Hynynen, K.: Ultrasound for drug and gene delivery to the brain. Adv. Drug. Deliv. Rev. 60(10), 1209–1217 (2008)
Kobelev, YuA, Ostrovsky, L.A.: Nonlinear acoustic phenomena due to bubble drift in a gas-liquid mixture. J. Acoust. Soc. Am. 85, 621–629 (1989)
Kobelev, YuA, Ostrovsky, L.A., Sutin, A.M.: Self-illumination effect for acoustic waves in a liquid with gas bubbles. JETP Lett. 30, 395–398 (1979)
Kuznetsova, L.A., Coakley, W.T.: Applications of ultrasound streaming and radiation force in biosensors. Biosens. Bioelectron. 22, 1567–1577 (2007)
Landau, L.D., Lifshitz, E.M.: Hydrodynamics, 4th edn. Nauka, Moscow (English, p. 1993. Fluid Mechanics, Pergamon Press, Oxford, Transl. 1988)
Lamb, H.: Hydrodynamics, 6th edn. Cambridge University Press, Cambridge (1932)
Minnaert, M.: On musical air-bubbles and the sound of running water. Philos. Mag. 16(104), 235–248 (1933)
Naugolnykh, K., Ostrovsky, L.: Nonlinear Wave Processes in Acoustics. Cambridge University Press, Cambridge (2006)
Nemtsov, B.E.: Effects of radiation interaction of bubbles in a liquid. Sov. Tech. Phys. Lett. 9, 368–369 (1983)
Nyborg, W.L.: Biological effects of ultrasound: development of safety guidelines. Ultrasound Med. Biol. 26(6), 911–964 (2000)
Ochiai, Y., Hoshi, T., Rekimoto, J.: Three-dimensional mid-air acoustic manipulation by ultrasonic phased arrays. PLoS ONE 9(5), e97590 (2014). https://doi.org/10.1371/journal.pone.0097590
Ostrovsky, L.: Concentration of microparticles and bubbles in standing waves. JASA 138(6), 3607–3612 (2015)
Ostrovsky, L., Priev, A., Ponomarev, V., and Barenholz, Y.: Acoustic radiation force for rapid detection of particles in biological liquids. In: Proceedings of Acoustics Meeting, vol. 14 (162 ASA Meeting, San Diego, CA) (2011)
Pelekasis, N.A., Tsamopoulos, J.A.: Bjerknes forces between two bubbles. Part 1. Response to a step change in pressure. J. Fluid Mech. 254, 467–499. Part 2. Response to an oscillatory pressure field. J. Fluid Mech. 254, 501–527 (1993)
Priev, A., Barenholz, Y.: Ultrasonic food quality analyzer based on cylindrical standing waves. In: Proceedings of 20th International Congress on Acoustics, Sydney, Australia, 4 p (2010)
Priev, A., Sarvazyan, A.: Cylindrical standing wave resonator for liquid food quality control. J. Acoust. Soc. Am. 125, 2593 (2009)
Sagoff, J.: No magic show: real-world levitation to inspire better pharmaceuticals. Argon National Laboratory, 12 September. http://www.anl.gov/articles/no-magic-show-real-world-levitation-inspire-better-pharmaceuticals (2012)
Sarvazyan, A., Ostrovsky, L.: Stirring and mixing of liquids using acoustic radiation force. J. Acoust. Soc. Am. 125, 3548–3554 (2009)
Sarvazyan, P., Rudenko, O.V., Swanson, S.D., Fowlkes, J.B., Emelianov, S.Y.: Shear wave elasticity imaging—a new ultrasonic technology of medical diagnostics. Ultrasound Med. Biol. 24, 1419–1435 (1998)
Schmid, A.J., Dubbert, J., Rudov, A.A., Pedersen, J.S., Lindner, P., Karg, M., Potemkin, I.I., Richtering, W.: Multi-shell hollow nanogels with responsive shell permeability. Sci. Rep. 6, 22736 (2016)
Shimada, T., Kadau, D., Shinbrot, T., Herrmann, H.J.: Swimming in granular media. Phys. Rev. E 80, 020301R (2009)
Silva, G.T., Bruus, H.: Acoustic interaction forces between small particles in an ideal fluid. Phys. Rev. E 90(063007), 11p (2014)
Stepanyants, Y.A., Yeoh, G.H.: Interaction of gaseous bubbles under the action of radiation modified Bjerknes force. In: Proceedings of XXII ICTAM Congress, 25–29 August, 2008, Adelaide, Australia (2008)
Stepanyants, Y.A., Yeoh, G.H.: Particle and bubble dynamics in a creeping flow. Eur. J. Mech. - B/Fluids 28, 619–629 (2009)
Timbie, K.F., Mead, B.P., Price, R.J.: Drug and gene delivery across the blood-brain barrier with focused ultrasound. J. Control. Release 219, 61–75 (2015)
Visitskii, Ye.V., Petrov, A.G., Shunderyuk, M.M.: The motion of a particle in a viscous fluid under gravity, vibration and Basset’s force. J. Appl. Math. Mech. 73, 548–557 (2009)
Wiklund, M., Hertz, H.M.: Ultrasonic enhancement of beadbased bioaffinity assays. Lab Chip 6, 1279–1292 (2006)
Wilson, T.V.: How acoustic levitation works. How Stuff Works, Science, Science, Physical Science, Acoustics. http://science.howstuffworks.com/acoustic-levitation.htm (2007)
Woo, J.: A short history of the development of ultrasound in obstetrics and gynecology. http://www.ob-ultrasound.net/history1.html
Wood, R.W., Loomis, A.L.: The physical and biological effects of high frequency sound waves of great intensity. Philos. Mag. 4, 417–436 (1927)
Yang, W.-C.: Handbook of Fluidization and Fluid-Particle Systems. CRC Press, 878 pp (2003)
Yosioka, K., Kawasima, Y.: Acoustic radiation pressure on a compressible sphere. Acustica 5(167–173), 24 (1955)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Ostrovsky, L.A., Stepanyants, Y.A. (2018). Dynamics of Particles and Bubbles Under the Action of Acoustic Radiation Force. In: Edelman, M., Macau, E., Sanjuan, M. (eds) Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-68109-2_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-68109-2_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-68108-5
Online ISBN: 978-3-319-68109-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)