Skip to main content
Log in

Acoustophoretic agglomeration patterns of particulate phase in a host fluid

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

Abstract

Ultrasound-assisted processing of particulate phase in a host fluid relies on the induced acoustic force field. Understanding the agglomeration phenomenon in the particulate phase under acoustic forces will provide better insight about the acoustophoresis quality and a way to design a well-controlled process. In this work, a dynamic model consisting of acoustic and hydrodynamic forces is proposed for tracking the motion of micro-spheres under ultrasound fields with planar and non-planar wave fronts. The agglomeration of particles at the nodal plane was simulated taking into account the contact and collisions between spheres. The numerical simulations were conducted for both sound hard and compressible spheres to investigate the behaviors of single and multiple-phase particle populations. For the case of a plane standing-wave, the interaction between solid-bubble allows the solid particles to stay at the velocity node which is their unstable equilibrium location. With a Bessel standing wave as a non-planar pressure field, the agglomeration patterns of particles are generally different from the case of plane standing wave, which implies the significance of the particle tracking simulations for predicting the agglomeration patterns and locations under ultrasound fields with arbitrary wave fronts.

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

Access this article

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
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Augustsson P, Magnusson C, Nordin M, Lilja H, Laurell T (2012) Microfluidic, label-free enrichment of prostate cancer cells in blood based on acoustophoresis. Anal Chem 84(18):7954

    Google Scholar 

  • Breen M, Dinsmore A, Pink R, Qadri S, Ratna B (2001) Sonochemically produced ZnS-coated polystyrene core- shell particles for use in photonic crystals. Langmuir 17(3):903

    Google Scholar 

  • Chen Y, Truong VN, Bu X, Xie G (2020) A review of effects and applications of ultrasound in mineral flotation. Ultrason Sonochem 60:104739

    Google Scholar 

  • Devendran C, Gralinski I, Neild A (2014) Separation of particles using acoustic streaming and radiation forces in an open microfluidic channel. Microfluidics Nanofluidics 17(5):879

    Google Scholar 

  • Doinikov AA (1994a) Acoustic radiation pressure on a rigid sphere in a viscous fluid. Proc R Soc Lond Ser A 447(1931):447

    MathSciNet  MATH  Google Scholar 

  • Doinikov AA (1994b) Acoustic radiation pressure on a compressible sphere in a viscous fluid. J Fluid Mech 267:1

    MathSciNet  MATH  Google Scholar 

  • Doinikov AA (1999) Bjerknes forces between two bubbles in a viscous fluid. J Acoust Soc Am 106(6):3305

    Google Scholar 

  • Doinikov AA (2001) Acoustic radiation interparticle forces in a compressible fluidm. J Fluid Mech 444:1

    MathSciNet  MATH  Google Scholar 

  • Doinikov AA (2002) Viscous effects on the interaction force between two small gas bubbles in a weak acoustic field. J Acoust Soc Am 111(4):1602

    Google Scholar 

  • Doinikov AA, Combriat T, Thibault P, Marmottant P (2016) Effect of surface waves on the secondary Bjerknes force experienced by bubbles in a microfluidic channel. Phys Rev E 94(2):023105

    Google Scholar 

  • Feng K, Wang C, Mo R, Hu J, Li S (2020) Interaction between particles and bubbles driven by ultrasound: Acoustic radiation force on an elastic particle immersed in the ideal fluid near a bubble. Ultrason Sonochem 67:105166

    Google Scholar 

  • Garcia-Sabaté A, Castro A, Hoyos M, González-Cinca R (2014) Experimental study on inter-particle acoustic forces. J Acoust Soc Am 135(3):1056

    Google Scholar 

  • Hartono D, Liu Y, Tan PL, Then XYS, Yung LYL, Lim KM (2011) On-chip measurements of cell compressibility via acoustic radiation. Lab Chip 11(23):4072

    Google Scholar 

  • King LV (1934) On the acoustic radiation pressure on spheres. Proc R Soc Lond Ser A 147(861):212

    Google Scholar 

  • Lei J (2017) Formation of inverse Chladni patterns in liquids at microscale: roles of acoustic radiation and streaming-induced drag forces. Microfluidics Nanofluidics 21(3):50

    Google Scholar 

  • Lim MX, Souslov A, Vitelli V, Jaeger HM (2019) Cluster formation by acoustic forces and active fluctuations in levitated granular matter. Nat Phys 15(5):460

    Google Scholar 

  • Lopes JH, Azarpeyvand M, Silva GT (2016) Acoustic interaction forces and torques acting on suspended spheres in an ideal fluid. IEEE Tran Ultrason Ferroelectr Freq Control 63(1):186

    Google Scholar 

  • Ma X, Huang B, Wang G, Zhang M (2017) Experimental investigation of conical bubble structure and acoustic flow structure in ultrasonic field. Ultrason Sonochem 34:164

    Google Scholar 

  • Marston PL (2006) Axial radiation force of a Bessel beam on a sphere and direction reversal of the force. J Acoust Soc Am 120(6):3518

    Google Scholar 

  • Marston PL (2007) Axial radiation force of a Bessel beam on a sphere, direction reversal of the force, and solid sphere examples. J Acoust Soc Am 121(5):3109

    MathSciNet  Google Scholar 

  • Marston PL, Wei W, Thiessen DB (2006) Acoustic radiation force on elliptical cylinders and spheroidal objects in low frequency standing waves. AIP Conf Proc 838:495–499

    Google Scholar 

  • Mishra P, Hill M, Glynne-Jones P (2014) Deformation of red blood cells using acoustic radiation forces. Biomicrofluidics 8(3):034109

    Google Scholar 

  • Mitri F (2015) Acoustic radiation force on oblate and prolate spheroids in Bessel beams. Wave Motion 57:231

    MathSciNet  MATH  Google Scholar 

  • Mohapatra AR, Sepehrirahnama S, Lim KM (2018) Experimental measurement of interparticle acoustic radiation force in the Rayleigh limit. Phys Rev E 97(5):053105

    Google Scholar 

  • Pol V, Gedanken A, Calderon-Moreno J (2003) Deposition of gold nanoparticles on silica spheres: a sonochemical approach. Chem Mater 15(5):1111

    Google Scholar 

  • Polychronopoulos S, Memoli G (2020) Acoustic levitation with optimized reflective metamaterials. Sci Rep 10(1):1

    Google Scholar 

  • Pozrikidis C et al (1992) Boundary integral and singularity methods for linearized viscous flow, boundary integral and singularity methods for linearized viscous flow. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Sepehrirahnama S, Lim KM (2020) Generalized potential theory for close-range acoustic interactions in the Rayleigh limit. Phys Rev E 102:043307

    Google Scholar 

  • Sepehrirahnama S, Lim KM, Chau FS (2015a) Numerical study of interparticle radiation force acting on rigid spheres in a standing wave, numerical study of interparticle radiation force acting on rigid spheres in a standing wave. J Acoust Soc Am 137(5):2614

    Google Scholar 

  • Sepehrirahnama S, Lim KM, Chau FS (2015b) Numerical analysis of the acoustic radiation force and acoustic streaming around a sphere in an acoustic standing wave. Phys Proced 70:80

    Google Scholar 

  • Sepehrirahnama S, Chau FS, Lim KM (2016) Effects of viscosity and acoustic streaming on the interparticle radiation force between rigid spheres in a standing wave. Phys Rev E 93(2):023307

    Google Scholar 

  • Settnes M, Bruus H (2012) Forces acting on a small particle in an acoustical field in a viscous fluid. Phys Rev E 85(1):016327

    Google Scholar 

  • Shang X, Huang X, Yang C (2016) Bubble dynamics in a microfluidic chamber under low-frequency actuation. Microfluidics Nanofluidics 20(1):14

    Google Scholar 

  • Silva GT, Bruus H (2014) Acoustic interaction forces between small particles in an ideal fluid. Phys Rev E 90(6):063007

    Google Scholar 

  • Tiong TJ, Chu JK, Lim LY, Tan KW, Yap YH, Asli UA (2019) A computational and experimental study on acoustic pressure for ultrasonically formed oil-in-water emulsion. Ultrason Sonochem 56:46

    Google Scholar 

  • Vyas V, Lemieux M, Knecht DA, Kolosov OV, Huey BD (2019) Micro-Acoustic-Trap (\(\mu \)AT) for microparticle assembly in 3D. Ultrason Sonochem 57:193

    Google Scholar 

  • Wang M, Qiu C, Zhang S, Han R, Ke M, Liu Z (2017) Sound-mediated stable configurations for polystyrene particles. Phys Rev E 96(5):052604

    Google Scholar 

  • Wijaya FB, Lim KM (2016) Numerical calculation of acoustic radiation force and torque on non-spherical particles in Bessel beams. Proc Meet Acoust 17IASA 26:045002

    Google Scholar 

  • Wijaya FB, Mohapatra AR, Sepehrirahnama S, Lim KM (2016) Coupled acoustic-shell model for experimental study of cell stiffness under acoustophoresis. Microfluidics Nanofluidics 20(5):69

    Google Scholar 

  • Wiklund M (2012) Acoustofluidics 12: biocompatibility and cell viability in microfluidic acoustic resonators. Lab Chip 12(11):2018

    Google Scholar 

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

    Google Scholar 

  • Xuan X, Zhu J, Church C (2010) Particle focusing in microfluidic devices. Microfluidics Nanofluidics 9(1):1

    Google Scholar 

  • Yosioka K, Kawasima Y (1955) Acoustic radiation pressure on a compressible sphere. Acta Acust United Acust 5(3):167

    Google Scholar 

  • Zhang Y, Li S (2016) The secondary Bjerknes force between two gas bubbles under dual-frequency acoustic excitation. Ultrason Sonochem 29:129

    Google Scholar 

  • Zhang L, Marston PL (2011) Geometrical interpretation of negative radiation forces of acoustical Bessel beams on spheres. Phys Rev E 84(3):035601

    Google Scholar 

Download references

Acknowledgements

This work was supported by the Ministry of Education, Singapore, through the National University of Singapore, Faculty of Engineering (Tier 1 Grant R-265-000-652-114).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shahrokh Sepehrirahnama.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sepehrirahnama, S., Lim, KM. Acoustophoretic agglomeration patterns of particulate phase in a host fluid. Microfluid Nanofluid 24, 92 (2020). https://doi.org/10.1007/s10404-020-02397-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10404-020-02397-5

Keywords

Navigation