Skip to main content
SpringerLink
Log in

Eckart acoustic streaming in a heptagonal chamber by multiple acoustic transducers

  • Research Paper
  • Published:
Microfluidics and Nanofluidics Aims and scope Submit manuscript

Abstract

A new computational method was developed to simulate a two-dimensional Eckart acoustic streaming field in an ultrasonic heptagonal chamber actuated by multiple acoustic transducers with different associated frequencies and acoustic incident pressures. Simulation was conducted using the superposition of multiple spatial gradients of the Reynolds stresses and the second mean sound pressures at different frequencies. The developed method extends beyond the capabilities of the conventional method that is restricted to uniform frequency and incident pressure. Various acoustic streaming patterns can be feasibly generated by tuning the frequency and incident pressure of each individual transducer. The implementation of multiple acoustic transducers offers flexibility to control acoustic flows in microfluidic devices for various applications. Furthermore, the developed simulation method for acoustic streaming fields provides an optimization tool for the frequency, incident pressure and location of each transducer.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Beyer RT (1965) Nonlinear acoustics. In: Mason WP (ed) Physical acoustics, vol 2B. Academic Press, New York, pp 231–263

    Google Scholar 

  • 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

    Google Scholar 

  • Boluriaan S, Morris PJ (2003) Acoustic streaming: from Rayleigh to today. Int J Aeroacoust 2(3):255–292

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Eckart C (1948) Vortices and streams caused by sound waves. Phys Rev 73(1):68–76

    Article  MATH  Google Scholar 

  • Evander M, Nilsson J (2012) Acoustofluidics 20: applications in acoustic trapping. Lab Chip 12(22):4667–4676

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Freegard T (2012) Introduction to the physics of waves. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Gadkari SA, Nayfeh TH (2008) Micro fabrication using electro deposition and ultrasonic acoustic liquid manipulation. Int J Adv Manuf Technol 39(1):107–117

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Gopi KR, Nagarajan R (2008) Advances in nanoalumina ceramic particle fabrication using sonofragmentation. IEEE Trans Nanotechnol 7(5):532–537

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Hu JH (2014) Ultrasonic micro/nano manipulations. World Scientific Publishing, Singapore

    Book  Google Scholar 

  • 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

    Article  Google Scholar 

  • Kinsler LE, Frey AR, Coppens AB, Sanders JV (1999) Fundamentals of acoustics. Hamilton Press, Te Rapa

    Google Scholar 

  • Kotas CW, Yoda M, Rogers PH (2008) Steady streaming flows near spheroids oscillated at multiple frequencies. Exp Fluids 45(2):295–307

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Lighthill J (1978) Acoustic streaming. J Sound Vib 61(3):391–418

    Article  MATH  Google Scholar 

  • 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

    Article  Google Scholar 

  • Liu HL, Hsieh CM (2009) Single-transducer dual-frequency ultrasound generation to enhance acoustic cavitation. Ultrason Sonochem 16(3):431–438

    Article  Google Scholar 

  • Liu X, Wu J (2009) Acoustic microstreaming around an isolated encapsulated microbubble. J Acoust Soc Am 125(3):1319–1330

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • Nyborg WL (1958) Acoustic streaming near a boundary. J Acoust Soc Am 30(4):329–339

    Article  MathSciNet  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Suri C, Takenaka K, Yanagida H, Kojima Y, Koyama K (2002) Chaotic mixing generated by acoustic streaming. Ultrasonics 40(1–8):393–396

    Article  Google Scholar 

  • Tang Q, Hu JH (2015a) Diversity of acoustic streaming in a rectangular acoustofluidic field. Ultrasonics 58:27–34

    Article  Google Scholar 

  • Tang Q, Hu JH (2015b) Analyses of acoustic streaming field in the probe-liquid-substrate system for nanotrapping. Microfluidics Nanofluidics 19(6):1395–1408

    Article  Google Scholar 

  • Urban MW, Fatemi M, Greenleaf JF (2010) Modulation of ultrasound to produce multifrequency radiation force. J Acoust Soc Am 127(3):1228–1238

    Article  Google Scholar 

  • Wiklund M, Green R, Ohlin M (2012) Acoustofluidics 14: applications of acoustic streaming in microfluidic devices. Lab Chip 12(14):2438–2451

    Article  Google Scholar 

  • 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

    Article  MATH  Google Scholar 

  • Xu L, Neild A, Ng TW, Shao FF (2009) Continuous particle assembly in a capillary cell. Appl Phys Lett 95(15):153501–153501-3

    Article  Google Scholar 

Download references

Acknowledgements

This work is supported by the State Key Lab of Mechanics and Control of Mechanical Structures (0314G01) in China and National Basic Research Program of China (973 Program, Grant No. 2015CB057501).

Author information

Authors and Affiliations

  1. State Key Lab of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Qiang Tang & Junhui Hu

  2. Department of Mechanical and Aerospace Engineering, Old Dominion University, Norfolk, VA, 23529, USA

    Qiang Tang, Shizhi Qian & Xiaoyu Zhang

Authors
  1. Qiang Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Junhui Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shizhi Qian
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Xiaoyu Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiaoyu Zhang.

Additional information

This article is part of the topical collection “2016 International Conference of Microfluidics, Nanofluidics and Lab-on-a-Chip, Dalian, China” guest edited by Chun Yang, Carolyn Ren and Xiangchun Xuan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tang, Q., Hu, J., Qian, S. et al. Eckart acoustic streaming in a heptagonal chamber by multiple acoustic transducers. Microfluid Nanofluid 21, 28 (2017). https://doi.org/10.1007/s10404-017-1871-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10404-017-1871-1

Keywords

Search

Navigation