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Generation and application of sub-kilohertz oscillatory flows in microchannels

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Abstract

We present an accessible and versatile experimental technique that generates sub-kilohertz sinusoidal oscillatory flows within microchannels. This method involves the direct interfacing of microfluidic tubing with a loudspeaker diaphragm, which allows independent control of oscillation frequency and amplitude. Oscillatory flows were generated with frequencies ranging from 10 to 1000 Hz and amplitudes ranging from 10 to \(600 \ \upmu\)m. Fourier spectral analysis of particle trajectories, obtained by particle tracking velocimetry, was used to evaluate the oscillatory displacement in microchannels and shown to accurately represent simple harmonic motion specified by the loudspeaker. Oscillatory flow profiles in microchannels of square and rectangular cross-sections were characterized as a function of oscillation frequency, or Womersley number, and compared to theoretical benchmarks, such as Stokes flow and Stokes’ second problem. To highlight the versatility and effectiveness of the experimental method, prototypical applications were demonstrated utilizing pulsatile flow in microfluidic devices, such as inertial focusing and enhanced mixing at low Reynolds numbers.

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References

  • Abolhasani M, Jensen KF (2016) Oscillatory multiphase flow strategy for chemistry and biology. Lab Chip 16:2775

    Google Scholar 

  • Ahmed D, Mao X, Shi J, Juluri BK, Huang TJ (2009) A millisecond micromixer via single-bubble-based acoustic streaming. Lab Chip 9:2738

    Google Scholar 

  • Alizadehgiashi M, Khabibullin A, Li Y, Prince E, Abolhasani M, Kumacheva E (2009) Shear-induced alignment of anisotropic nanoparticles in a single-droplet oscillatory microfluidic platform. Lab Chip 9:2738

    Google Scholar 

  • Amini H, Sollier E, Weaver WM, Carlo DD (2012) Intrinsic particle-induced lateral transport in microchannels. Proc Natl Acad Sci 109:11593

    Google Scholar 

  • Bachman H, Fu P, Huang Z, Tian J, Embry-Seckler J, Rufo Z, Xie JH, Hartman S, Zhao S, Yang JN, Huang TJ (2019) Open source acoustofluidics. Lab Chip 19:2404

    Google Scholar 

  • Basilio PA, Torres Rojas AM, Corvera Poiré E, Olguín LF (2019) Stream of droplets as an actuator for oscillatory flows in microfluidics. Microfluidics Nanofluidics 23:64

    Google Scholar 

  • Bhagat AAS, Kuntaegowdanahalli SS, Kaval N, Seliskar CJ, Papautsky I (2010) Inertial microfluidics for sheath-less high-throughput flow cytometry. Biomed Microdevices 12:187

    Google Scholar 

  • Cai G, Xue L, Zhang H, Lin J (2017) A review on micromixers. Micromachines 8:274

    Google Scholar 

  • Dang VB, Kim S-J (2017) Water-head-driven microfluidic oscillators for autonomous control of periodic flows and generation of aqueous two-phase system droplets. Lab Chip 17:286

    Google Scholar 

  • Di Carlo D (2009) Inertial microfluidics. Lab Chip 9:3038

    Google Scholar 

  • Di Carlo D, Irimia D, Tompkins RG, Toner M (2007) Continuous inertial focusing, ordering, and separation of particles in microchannels. Proc Natl Acad Sci 104:18892

    Google Scholar 

  • Dincau B, Dressaire E, Sauret A (2019) Pulsatile fow in microfluidic systems. Small 16:1904032

    Google Scholar 

  • Du D, Furukawa KS, Ushida T (2009) 3D culture of osteoblast-like cells by unidirectional or oscillatory flow for bone tissue engineering. Biotechnol Bioeng 102:1670

    Google Scholar 

  • Fischer PF, Leaf GK, Restrepo JM (2005) Influence of wall proximity on the lift and drag of a particle in an oscillatory flow. J Fluids Eng 127:583

    Google Scholar 

  • Frommelt T, Kostur M, Wenzel-Schäfer M, Talkner P, Hänggi P, Wixforth A (2008) Microfluidic Mixing via Acoustically Driven Chaotic Advection. Phys Rev Lett 100:034502

    Google Scholar 

  • Groisman A, Enzelberger M, Quake SR (2003) Microfluidic memory and control devices. Science 300:955

    Google Scholar 

  • Hessel V, Löwe H, Schönfeld F (2005) Micromixers: a review on passive and active mixing principles. Chem Eng Sci 60:2479

    Google Scholar 

  • Hur SC, Tse HTK, Carlo DD (2010) Sheathless inertial cell ordering for extreme throughput flow cytometry. Lab Chip 10:274

    Google Scholar 

  • Jinquan Nie YZ, Peng N (2015) Multichannel oscillatory-flow PCR micro-fluidic chip with controllable temperature gradient. Microsyst Technol 21:41

    Google Scholar 

  • Jo K, Chen Y-L, de Pablo JJ, Schwartz DC (2009) Elongation and migration of single DNA molecules in microchannels using oscillatory shear flows. Lab Chip 9:2348

    Google Scholar 

  • Kim SJ, Yokokawa R, Takayama S (2013) Microfluidic oscillators with widely tunable periods. Lab Chip 13:1644

    Google Scholar 

  • Kuntaegowdanahalli SS, Bhagat AAS, Kumar G, Papautsky I (2009) Inertial microfluidics for continuous particle separation in spiral microchannels. Lab Chip 9:2973

    Google Scholar 

  • Landau LD, Lifshits EM (1959) Fluid mechanics. In: Lifshits EM (ed) Course of theoretical physics, vol 6, translated by J.B. Sykes and W.H. Reid. Pergamon Press, London, pp 83–85

    Google Scholar 

  • Lee CY, Chang CL, Wang YN, Fu LM (2011) Microfluidic mixing: a review. Int J Mol Sci 12:3263

    Google Scholar 

  • Lee CY, Wang WT, Chang CL, Fu LM (2016) Passive mixers in microfluidic systems: a review. Chem Eng J 288:146

    Google Scholar 

  • Lee J, Mena SE, Burns MA (2019) Micro-particle operations using asymmetric traps. Sci Rep 9:1278

    Google Scholar 

  • Leslie DC, Easley CJ, Seker E, Karlinsey JM, Utz M, Begley MR, Landers JP (2009) Frequency-specific flow control in microfluidic circuits with passive elastomeric features. Nat Phys 5:231

    Google Scholar 

  • Lestari G, Salari A, Abolhasani M, Kumacheva E (2016) A microfluidic study of liquid-liquid extraction mediated by carbon dioxide. Lab Chip 16:2710

    Google Scholar 

  • Lieu VH, House TA, Schwartz DT (2012) Hydrodynamic Tweezers: impact of design geometry on flow and microparticle trapping. Anal Chem 84:1963

    Google Scholar 

  • Liu RH, Stremler MA, Sharp KV, Olsen MG, Santiago JG, Adrian RJ, Aref H, Beebe DJ (2000) Passive mixing in a three-dimensional serpentine microchannel. J Microelectromech Syst 9:190

    Google Scholar 

  • Liu RH, Yang J, Pindera MZ, Athavale M, Grodzinski P (2002) Bubble-induced acoustic micromixing. Lab Chip 2:151

    Google Scholar 

  • Lutz BR, Chen J, Schwartz DT (2006) Characterizing homogeneous chemistry using well-mixed microeddies. Anal Chem 78:1606

    Google Scholar 

  • Marmottant P, Hilgenfeldt S (2003) Controlled vesicle deformation and lysis by single oscillating bubbles. Nature 423:153

    Google Scholar 

  • Martel JM, Toner M (2014) Inertial focusing in microfluidics. Annu Rev Biomed Eng 16:371

    Google Scholar 

  • Morris CJ, Forster FK (2003) Low-order modeling of resonance for fixed-valve micropumps based on first principles. J Microelectromech Sys 12:325

    Google Scholar 

  • Mosadegh B, Kuo CH, Tung YC, Torisawa YS, Bersano-Begey T, Tavana H, Takayama S (2010) Integrated elastomeric components for autonomous regulation of sequential and oscillatory flow switching in microfluidic devices. Nat Phys 6:433

    Google Scholar 

  • Mutlu BR, Edd JF, Toner M (2018) Oscillatory inertial focusing in infinite microchannels. Proc Natl Acad Sci 115:7682

    Google Scholar 

  • Nguyen NT, Wu Z (2005) Micromixers: a review. J Micromech Microeng 15:R1

    Google Scholar 

  • Nivedita N, Papautsky I (2013) Continuous separation of blood cells in spiral microfluidic devices. Biomicrofluidics 7:054101

    Google Scholar 

  • O’Brien V (1975) Pulsatile fully developed flow in rectangular channels. J Frankl Inst 300:225

    MATH  Google Scholar 

  • Oakey J, Applegate RW, Arellano E, Carlo DD, Graves SW, Toner M (2010) Particle focusing in staged inertial microfluidic devices for flow cytometry. Anal Chem 82:3862

    Google Scholar 

  • Ober TJ, Foresti D, Lewis JA (2015) Active mixing of complex fluids at the microscale. Proc Natl Acad Sci 112:12293

    Google Scholar 

  • Ottino JM, Wiggins S (2004) Introduction: mixing in microfluidics. Philos Trans R Soc A 362:923

    MathSciNet  MATH  Google Scholar 

  • Phelan FR, Hughes NR, Pathak JA (2008) Chaotic mixing in microfluidic devices driven by oscillatory cross flow. Phys Fluids 20:023101

    MATH  Google Scholar 

  • Phillips RH, Jain R, Browning Y, Shah R, Kauffman P, Dinh D, Lutz BR (2016) Flow control using audio tones in resonant microfluidic networks: towards cell-phone controlled lab-on-a-chip devices. Lab Chip 16:3260

    Google Scholar 

  • Qu J, Wu H, Cheng P, Wang Q, Sun Q (2017) Recent advances in MEMS-based micro heat pipes. Int J Heat Mass Transfer 110:294

    Google Scholar 

  • Rallabandi B, Wang C, Hilgenfeldt S (2017) Analysis of optimal mixing in open-flow mixers with time-modulated vortex arrays. Phys Rev Fluids 2:064501

    Google Scholar 

  • Riley N (2001) Steady streaming. Annu Rev Fluid Mech 33:43

    MathSciNet  MATH  Google Scholar 

  • Schmid L, Weitz DA, Franke T (2014) Sorting drops and cells with acoustics: acoustic microfluidic fluorescence-activated cell sorter. Lab Chip 14:3710

    Google Scholar 

  • Seo J, Lean MH, Kole A (2007) Membrane-free microfiltration by asymmetric inertial migration. Appl Phys Lett 91:033901

    Google Scholar 

  • Shmilovitz D (2005) On the definition of total harmonic distortion and its effect on measurement interpretation. IEEE Trans Power Deliv 20:526

    Google Scholar 

  • Stoecklein D, Di Carlo D (2019) Nonlinear microfluidics. Anal Chem 91:296

    Google Scholar 

  • Thameem R, Rallabandi B, Hilgenfeldt S (2016) Particle migration and sorting in microbubble streaming flows. Biomicrofluidics 10:014124

    Google Scholar 

  • Thomas C, Bassom AP, Blennerhassett PJ, Davies C (2011) The linear stability of oscillatory Poiseuille flow in channels and pipes. Proc R Soc A Math Phys Eng Sci 467:2643

    MathSciNet  MATH  Google Scholar 

  • Vázquez-Vergara P, Rojas AMT, Guevara-Pantoja PE, Poiré EC, Caballero-Robledo GA (2017) Microfluidic flow spectrometer. J Micromech Microeng 27:077001

    Google Scholar 

  • Vishwanathan G, Juarez G (2019a) Steady streaming viscometry of Newtonian liquids. Phys Fluids 31:041701

    Google Scholar 

  • Vishwanathan G, Juarez G (2019b) Steady streaming flows in viscoelastic liquids. J Non Newton Fluid Mech 271:104143

    MathSciNet  Google Scholar 

  • Wang CY (1989) Exact solutions of the unsteady Navier-Stokes equations. Appl Mech Rev 42:269

    MathSciNet  Google Scholar 

  • Ward K, Fan ZH (2015) Mixing in microfluidic devices and enhancement methods. J Micromech Microeng 25:094001

    Google Scholar 

  • Wu L, Guan G, Hou HW, Bhagat AAS, Han J (2012) Separation of leukocytes from blood using spiral channel with trapezoid cross-section. Anal Chem 84:9324

    Google Scholar 

  • Xia HM, Wang ZP, Fan W, Wijaya A, Wang W, Wang ZF (2012) Converting steady laminar flow to oscillatory flow through a hydroelasticity approach at microscales. Lab Chip 12:60

    Google Scholar 

  • Xie Y, Chindam C, Nama N, Yang S, Lu M, Zhao Y, Mai JD, Costanzo F, Huang TJ (2015) Exploring bubble oscillation and mass transfer enhancement in acoustic-assisted liquid-liquid extraction with a microfluidic device. Sci Rep 5:12572

    Google Scholar 

  • Yang J, Chen C, Hu I, Lyu P (2007) Design of a self-flapping Mmicrofluidic oscillator and diagnosis with fluorescence methods. J Microelectromech Syst 16:826

    Google Scholar 

  • Zhou Y, Schroeder CM (2016) Single polymer dynamics under large amplitude oscillatory extension. Phys Rev Fluids 1:053301

    Google Scholar 

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Correspondence to Gabriel Juarez.

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Vishwanathan, G., Juarez, G. Generation and application of sub-kilohertz oscillatory flows in microchannels. Microfluid Nanofluid 24, 69 (2020). https://doi.org/10.1007/s10404-020-02373-z

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