Abstract
The employment of ultrasonic fields to control particles has been received attention for its efficient role in harmless applications such as separation, sorting, and trapping. The capability of this technology in related applications is improved by better analyzing and visualizing the interfacing parameters. In this research, the operating parameters, including working frequency, phase difference, displacement amplitude, cross section, and microchannel material in a water-filled microchannel actuated by standing surface acoustic wave, are studied. Perturbation theory is employed to derive the first-order acoustic field and time-averaged second-order governing equations. Also, appropriate and lately introduced boundary conditions are precisely applied to capture the fluid flow and particle motion. Results show the half-wave resonance model in Pyrex wall can effectively sort particles in regions where Acoustic Streaming (AS) is not disruptive. The new design of the microchannel introduces a different pattern in polystyrene aggregation, which can be applied for further acoustic sorting and separation. Additionally, by increasing frequency in Pyrex, stronger streaming is inclined close to the walls which can be applied to mix sheath flows with the buffer flows in cell lysis application. Comparison of different cross sections for different material at different frequencies significantly help to find a trade-off between Acoustic Radiation Force (ARF) and AS. Operating parameters effect on the AS and ARF is visualized and compared to reveal each case potential for sorting, separation, trapping, and mixing application. This quantitative simulation will help researchers choose the appropriate material and correct resonance frequency for lateral biological applications.
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Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: Numerical modeling files of the current study are available from the corresponding author on reasonable request.]
References
D.R. Reyes, D. Iossifidis, P.-A. Auroux, A. Manz, Micro total analysis systems. 1. Introduction, theory, and technology. Anal. Chem. 74(12), 2623–2636 (2002)
P.-A. Auroux, D. Iossifidis, D.R. Reyes, A. Manz, Micro total analysis systems. 2. Analytical standard operations and applications. Anal. Chem. 74(12), 2637–2652 (2002)
A. Farahinia, W. Zhang, I. Badea, Novel microfluidic approaches to circulating tumor cell separation and sorting of blood cells: a review. J. Sci. Adv. Mater. Device 6, 303–320 (2021)
D.K. Deka, S. Pati, Influence of wettability and initial size on the merging dynamics of droplet within a y-shaped bifurcating channel. Fluid Dyn. Res. 53, 035506 (2021)
C.W. Shields IV., C.D. Reyes, G.P. López, Microfluidic cell sorting: a review of the advances in the separation of cells from debulking to rare cell isolation. Lab Chip 15(5), 1230–1249 (2015)
X. Bai, B. Song, Z. Chen, W. Zhang, D. Chen, Y. Dai, S. Liang, D. Zhang, Z. Zhao, L. Feng, Postoperative evaluation of tumours based on label-free acoustic separation of circulating tumour cells by microstreaming. Lab Chip 21(14), 2721–2729 (2021)
A. Neild, S. Oberti, F. Beyeler, J. Dual, B.J. Nelson, A micro-particle positioning technique combining an ultrasonic manipulator and a microgripper. J. Micromech. Microeng. 16(8), 1562 (2006)
A. Wixforth, C. Strobl, C. Gauer, A. Toegl, J. Scriba, Zv. Guttenberg, Acoustic manipulation of small droplets. Anal. Bioanal. Chem. 379(7), 982–991 (2004)
L.Y. Yeo, J.R. Friend, Surface acoustic wave microfluidics. Annu. Rev. Fluid Mech. 46, 379–406 (2014)
A. Urbansky, F. Olm, S. Scheding, T. Laurell, A. Lenshof, Label-free separation of leukocyte subpopulations using high throughput multiplex acoustophoresis. Lab Chip 19(8), 1406–1416 (2019)
P. Augustsson, C. Magnusson, M. Nordin, H. Lilja, T. Laurell, Microfluidic, label-free enrichment of prostate cancer cells in blood based on acoustophoresis. Anal. Chem. 84(18), 7954–7962 (2012)
A. Nilsson, F. Petersson, H. Jönsson, T. Laurell, Acoustic control of suspended particles in micro fluidic chips. Lab Chip 4(2), 131–135 (2004)
X. Ding, Z. Peng, S.-C.S. Lin, M. Geri, S. Li, P. Li, Y. Chen, M. Dao, S. Suresh, T.J. Huang, Cell separation using tilted-angle standing surface acoustic waves. Proc. Natl. Acad. Sci. 111(36), 12992–12997 (2014)
M. Wu, C. Chen, Z. Wang, H. Bachman, Y. Ouyang, P.-H. Huang, Y. Sadovsky, T.J. Huang, Separating extracellular vesicles and lipoproteins via acoustofluidics. Lab Chip 19(7), 1174–1182 (2019)
M. Wu, P.-H. Huang, R. Zhang, Z. Mao, C. Chen, G. Kemeny, P. Li, A.V. Lee, R. Gyanchandani, A.J. Armstrong et al., Circulating tumor cell phenotyping via high-throughput acoustic separation. Small 14(32), 1801131 (2018)
A. Shams Taleghani, M. Sheikholeslam Noori, Numerical investigation of coalescence phenomena, affected by surface acoustic waves. Eur. Phys. J. Plus 137(8), 975 (2022)
P.B. Muller, R. Barnkob, M.J.H. Jensen, H. Bruus, A numerical study of microparticle acoustophoresis driven by acoustic radiation forces and streaming-induced drag forces. Lab Chip 12(22), 4617–4627 (2012)
J. Lei, M. Hill, P. Glynne-Jones, Numerical simulation of 3d boundary-driven acoustic streaming in microfluidic devices. Lab Chip 14(3), 532–541 (2014)
S. Liu, Y. Yang, Z. Ni, X. Guo, L. Luo, J. Tu, D. Zhang et al., Investigation into the effect of acoustic radiation force and acoustic streaming on particle patterning in acoustic standing wave fields. Sensors 17(7), 1664 (2017)
P.B. Muller, H. Bruus, Numerical study of thermoviscous effects in ultrasound-induced acoustic streaming in microchannels. Phys. Rev. E 90(4), 043016 (2014)
A. Tahmasebipour, L. Friedrich, M. Begley, H. Bruus, C. Meinhart, Toward optimal acoustophoretic microparticle manipulation by exploiting asymmetry. J. Acoust. Soc. Am. 148(1), 359–373 (2020)
B.G. Winckelmann, H. Bruus, Theory and simulation of electroosmotic suppression of acoustic streaming. J. Acoust. Soc. Am. 149(6), 3917–3928 (2021)
J.S. Bach, H. Bruus, Suppression of acoustic streaming in shape-optimized channels. Phys. Rev. Lett. 124(21), 214501 (2020)
J. Lei, F. Cheng, K. Li, Z. Guo, Two-dimensional concentration of microparticles using bulk acousto-microfluidics. Appl. Phys. Lett. 116(3), 033104 (2020)
J. Lei, F. Cheng, K. Li, Numerical simulation of boundary-driven acoustic streaming in microfluidic channels with circular cross-sections. Micromachines 11(3), 240 (2020)
D.J. Collins, R. O’Rorke, C. Devendran, Z. Ma, J. Han, A. Neild, Y. Ai, Self-aligned acoustofluidic particle focusing and patterning in microfluidic channels from channel-based acoustic waveguides. Phys. Rev. Lett. 120(7), 074502 (2018)
C. Devendran, T. Albrecht, J. Brenker, T. Alan, A. Neild, The importance of travelling wave components in standing surface acoustic wave (ssaw) systems. Lab Chip 16(19), 3756–3766 (2016)
M.R. Dezfuli, A. Shahidian, M. Ghassemi, Quantitative assessment of parallel acoustofluidic device. J. Acoust. Soc. Am. 150(1), 233–240 (2021)
N.R. Skov, P. Sehgal, B.J. Kirby, H. Bruus, Three-dimensional numerical modeling of surface-acoustic-wave devices: acoustophoresis of micro-and nanoparticles including streaming. Phys. Rev. Appl. 12(4), 044028 (2019)
J.-C. Hsu, C.-L. Chao, Full-wave modeling of micro-acoustofluidic devices driven by standing surface acoustic waves for microparticle acoustophoresis. J. Appl. Phys. 128(12), 124502 (2020)
Y. Zhou, Comparison of numerical models for bulk and surface acoustic wave-induced acoustophoresis in a microchannel. Eur. Phys. J. Plus 135(9), 696 (2020)
R. Barnkob, N. Nama, L. Ren, T.J. Huang, F. Costanzo, C.J. Kähler, Acoustically driven fluid and particle motion in confined and leaky systems. Phys. Rev. Appl. 9(1), 014027 (2018)
A. Vargas-Jiménez, M. Camacho, J. Muñoz, I. González, A 3d analysis of the acoustic radiation force in microfluidic channel with rectangular geometry. Wave Motion 101, 102701 (2021)
C. Sun, F. Wu, Y. Fu, D.J. Wallis, R. Mikhaylov, F. Yuan, D. Liang, Z. Xie, H. Wang, R. Tao et al., Thin film gallium nitride (gan) based acoustofluidic tweezer: modelling and microparticle manipulation. Ultrasonics 108, 106202 (2020)
E. Los Reyes, V. Acosta, P. Carreras, A. Pinto, I. González, Three-dimensional numerical analysis as a tool for optimization of acoustophoretic separation in polymeric chips. J. Acoust. Soc. Am. 150(1), 646–656 (2021)
R.P. Moiseyenko, H. Bruus, Whole-system ultrasound resonances as the basis for acoustophoresis in all-polymer microfluidic devices. Phys. Rev. Appl. 11(1), 014014 (2019)
W.N. Bodé, L. Jiang, T. Laurell, H. Bruus, Microparticle acoustophoresis in aluminum-based acoustofluidic devices with pdms covers. Micromachines 11(3), 292 (2020)
C. Devendran, D.J. Collins, A. Neild, The role of channel height and actuation method on particle manipulation in surface acoustic wave (saw)-driven microfluidic devices. Microfluid. Nanofluid. 26(2), 9 (2022)
X. Liu, X. Chen, Z. Yang, H. Xia, C. Zhang, X. Wei, Surface acoustic wave based microfluidic devices for biological applications. Sensors Diagnost. 2, 507–528 (2023)
M. Ali, J. Park, Ultrasonic surface acoustic wave-assisted separation of microscale droplets with varying acoustic impedance. Ultrason. Sonochem. 93, 106305 (2023)
G. Liu, W. Shen, Y. Li, H. Zhao, X. Li, C. Wang, F. He, Continuous separation of particles with different densities based on standing surface acoustic waves. Sens. Actuat. A 341, 113589 (2022)
N. Nama, R. Barnkob, Z. Mao, C.J. Kähler, F. Costanzo, T.J. Huang, Numerical study of acoustophoretic motion of particles in a PDMS microchannel driven by surface acoustic waves. Lab Chip 15(12), 2700–2709 (2015)
Y.A. Cengel, M.A. Boles, M. Kanoglu, Thermodynamics: An Engineering Approach, vol. 5 (McGraw-Hill, New York, 2011)
W.M. Haynes, CRC Handbook of Chemistry and Physics (CRC Press, Hoboken, 2014)
D. Armani, C. Liu, N. Aluru, Re-configurable fluid circuits by pdms elastomer micromachining. In: Technical Digest. IEEE International MEMS 99 Conference. Twelfth IEEE International Conference on Micro Electro Mechanical Systems (Cat. No. 99CH36291), pp. 222–227 (1999). IEEE
J.K. Tsou, J. Liu, A.I. Barakat, M.F. Insana, Role of ultrasonic shear rate estimation errors in assessing inflammatory response and vascular risk. Ultrasound Med. Biol. 34(6), 963–972 (2008)
N.R. Skov, H. Bruus, Modeling of microdevices for saw-based acoustophoresis-a study of boundary conditions. Micromachines 7(10), 182 (2016)
K.-K. Wong, Properties of Lithium Niobate vol. 28. IET (2002)
P.H. Mott, J.R. Dorgan, C. Roland, The bulk modulus and poisson’s ratio of “incompressible’’ materials. J. Sound Vib. 312(4–5), 572–575 (2008)
H. Bruus, Acoustofluidics 7: the acoustic radiation force on small particles. Lab Chip 12(6), 1014–1021 (2012)
M. Wiklund, R. Green, M. Ohlin, Acoustofluidics 14: applications of acoustic streaming in microfluidic devices. Lab Chip 12(14), 2438–2451 (2012)
H. Bruus, Theoretical Microfluidics, vol. 18 (Oxford University Press, Oxford, 2008)
W.L. Nyborg, Acoustic streaming due to attenuated plane waves. J. Acoust. Soc. Am. 25(1), 68–75 (1953)
D. Köster, Numerical simulation of acoustic streaming on surface acoustic wave-driven biochips. SIAM J. Sci. Comput. 29(6), 2352–2380 (2007)
M. Settnes, H. Bruus, Forces acting on a small particle in an acoustical field in a viscous fluid. Phys. Rev. E 85(1), 016327 (2012)
J. David, N. Cheeke, Fundamentals and applications of ultrasonic waves (2017)
S. Sachs, M. Baloochi, C. Cierpka, J. König, On the acoustically induced fluid flow in particle separation systems employing standing surface acoustic waves-part I. Lab Chip 22(10), 2011–2027 (2022)
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Dezfuli, M.R., Shahidian, A. Numerical investigation of acoustic streaming vortex and operating parameters in curved microchannel: driven by standing surface acoustic wave. Eur. Phys. J. Plus 138, 835 (2023). https://doi.org/10.1140/epjp/s13360-023-04460-w
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DOI: https://doi.org/10.1140/epjp/s13360-023-04460-w