Eckart acoustic streaming in a heptagonal chamber by multiple acoustic transducers

Ahmed D, Mao X, Shi J, Juluri BK, Huang TJ (2009) A millisecond micromixer via single-bubble-based acoustic streaming. Lab Chip 9(18):2738–2741 Bernassau AL, Glynne-Jones P, Gesellchen F, Riehle M, Hill M, Cumming DRS (2014) Controlling acoustic streaming in an ultrasonic heptagonal tweezers with application to cell manipulation. Ultrasonics 54(1):268–274 Beyer RT (1965) Nonlinear acoustics. In: Mason WP (ed) Physical acoustics, vol 2B. Academic Press, New York, pp 231–263 Beyer RT (1997) The parameter B/A. In: Hamilton MF, Blackstock DT (eds) Nonlinear acoustics: theory and applications. Academic Press, New York, pp 25–39 Boluriaan S, Morris PJ (2003) Acoustic streaming: from Rayleigh to today. Int J Aeroacoust 2(3):255–292 Bruus H, Dual J, Hawkes J, Hill M, Laurell T, Nilsson J, Radel S, Sadhal S, Wiklund M (2011) Forthcoming Lab on a Chip tutorial series on acoustofluidics: acoustofluidics—exploiting ultrasonic standing wave forces and acoustic streaming in microfluidic systems for cell and particle manipulation. Lab Chip 11(21):3579–3580 Collins DJ, Ma Z, Ai Y (2016) Highly localized acoustic streaming and size-selective submicrometer particle concentration using high frequency microscale focused acoustic fields. Anal Chem 88(10):5513–5522 Collins DJ, Ma Z, Han J, Ai Y (2017) Continuous micro-vortex-based nanoparticle manipulation via focused surface acoustic waves. Lab Chip 17(1):91–103 Devendran C, Gralinski I, Nield A (2014) Separation of particles using acoustic streaming and radiation forces in an open microfluidic channel. Microfluidics Nanofluidics 17(5):879–890 Eckart C (1948) Vortices and streams caused by sound waves. Phys Rev 73(1):68–76 Evander M, Nilsson J (2012) Acoustofluidics 20: applications in acoustic trapping. Lab Chip 12(22):4667–4676 Evander M, Johansson L, Lilliehorn T, Piskur J, Lindvall M, Johansson S, Almqvist M, Laurell T, Nilsson J (2007) Noninvasive acoustic cell trapping in a microfluidic perfusion system for online bioassays. Anal Chem 79(7):2984–2991 Freegard T (2012) Introduction to the physics of waves. Cambridge University Press, Cambridge Gadkari SA, Nayfeh TH (2008) Micro fabrication using electro deposition and ultrasonic acoustic liquid manipulation. Int J Adv Manuf Technol 39(1):107–117 Gogate PR, Sutkar VS, Pandit AB (2011) Sonochemical reactors: important design and scale up considerations with a special emphasis on heterogeneous systems. Chem Eng J 166(3):1066–1082 Gopi KR, Nagarajan R (2008) Advances in nanoalumina ceramic particle fabrication using sonofragmentation. IEEE Trans Nanotechnol 7(5):532–537 Hahn P (2015) Numerical simulation tools for the design and the analysis of acoustofluidic devices. Dissertation, Swiss Federal Institute of Technology, Zürich Hahn P, Leibacher I, Baasch T, Dual J (2015) Numerical simulation of acoustofluidic manipulation by radiation forces and acoustic streaming for complex particle. Lab Chip 15(22):4302–4313 Hammarström B, Laurell T, Nilsson J (2012) Seed particle-enabled acoustic trapping of bacteria and nanoparticles in continuous flow systems. Lab Chip 12(21):4296–4304 Hu JH (2014) Ultrasonic micro/nano manipulations. World Scientific Publishing, Singapore Hu JH, Tay C, Cai YM, Du JL (2005) Controlled rotation of sound-trapped small particles by an acoustic needle. Appl Phys Lett 87(9):094104–094104-3 Kinsler LE, Frey AR, Coppens AB, Sanders JV (1999) Fundamentals of acoustics. Hamilton Press, Te Rapa Kotas CW, Yoda M, Rogers PH (2008) Steady streaming flows near spheroids oscillated at multiple frequencies. Exp Fluids 45(2):295–307 Laurell T, Peterssona F, Nilssona A (2007) Chip integrated strategies for acoustic separation and manipulation of cells and particles. Chem Soc Rev 36(3):492–506 Lei J, Glynne-Jones P, Hill M (2013) Acoustic streaming in the transducer plane in ultrasonic particle manipulation devices. Lab Chip 13(11):2133–2143 Lighthill J (1978) Acoustic streaming. J Sound Vib 61(3):391–418 Lilliehorn T, Simu U, Nilsson M, Almqvist M, Stepinski T, Laurell T, Nilsson J, Johansson S (2005) Trapping of microparticles in the near field of an ultrasonic transducer. Ultrasonics 43(5):293–303 Liu HL, Hsieh CM (2009) Single-transducer dual-frequency ultrasound generation to enhance acoustic cavitation. Ultrason Sonochem 16(3):431–438 Liu X, Wu J (2009) Acoustic microstreaming around an isolated encapsulated microbubble. J Acoust Soc Am 125(3):1319–1330 Lutz BR, Chen J, Schwartz DT (2006) Hydrodynamic Tweezers: 1. Noncontact trapping of single cells using steady streaming microeddies. Anal Chem 78(15):5429–5435 Martin KH, Lindsey BD, Ma J, Lee M, Li S, Foster FS, Jiang X, Dayton PA (2014) Dual-frequency piezoelectric transducers for contrast enhanced ultrasound imaging. Sensors 14(11):20825–20842 Miles CA, Morley MJ, Hudson WR, Mackey BM (1995) Principles of separating micro-organisms from suspensions using ultrasound. J Appl Microbiol 78(1):47–54 Murry EJ (1971) Multiple frequency ultrasonic method and apparatus for improved cavitation, emulsification and mixing. US Patent, US3614069 Neild A, Oberti S, Radziwill G, Dual J (2007) Simultaneous positioning of cells into two-dimensional arrays using ultrasound. Biotechnol Bioeng 97(5):1335–1339 Nyborg WL (1958) Acoustic streaming near a boundary. J Acoust Soc Am 30(4):329–339 Oberti S, Neild A, Dual J (2007) Manipulation of micrometer sized particles within a micromachined fluidic device to form two-dimensional patterns using ultrasound. J Acoust Soc Am 121(2):778–785 Schwarz T, Hahn P, Petit-Pierre G, Dual J (2015) Rotation of fibers and other non-spherical particles by the acoustic radiation torque. Microfluidics Nanofluidics 18(1):65–79 Shilton RJ, Travagliati M, Beltram F, Cecchini M (2014) Nanoliter-droplet acoustic streaming via ultra high frequency surface acoustic waves. Adv Mater 26(29):4941–4946 Sritharan K, Strobl CJ, Schneider MF, Wixforth A, Guttenberg Z (2006) Acoustic mixing at low Reynold’s numbers. Appl Phys Lett 88(5):054102–054102-3 Suri C, Takenaka K, Yanagida H, Kojima Y, Koyama K (2002) Chaotic mixing generated by acoustic streaming. Ultrasonics 40(1–8):393–396 Tang Q, Hu JH (2015a) Diversity of acoustic streaming in a rectangular acoustofluidic field. Ultrasonics 58:27–34 Tang Q, Hu JH (2015b) Analyses of acoustic streaming field in the probe-liquid-substrate system for nanotrapping. Microfluidics Nanofluidics 19(6):1395–1408 Urban MW, Fatemi M, Greenleaf JF (2010) Modulation of ultrasound to produce multifrequency radiation force. J Acoust Soc Am 127(3):1228–1238 Wiklund M, Green R, Ohlin M (2012) Acoustofluidics 14: applications of acoustic streaming in microfluidic devices. Lab Chip 12(14):2438–2451 Wunenburger R, Carrier V, Garrabos Y (2002) Periodic order induced by horizontal vibrations in a two-dimensional assembly of heavy beads in water. Phys Fluids 14(7):2350–2359 Xu L, Neild A, Ng TW, Shao FF (2009) Continuous particle assembly in a capillary cell. Appl Phys Lett 95(15):153501–153501-3