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Passive mixing enhancement of microliter droplets in a thermocapillary environment

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Abstract

Fast and efficient mixing of reagents and bioassays is of great importance in micro total analysis systems and in particular, open-surface microfluidics. This is the first study of droplet collision and mixing phenomenon of levitated droplets on an immiscible thin liquid substrate undergoing Marangoni convection. The mixing percentage was determined by monitoring the changing color during chemical reaction that occurs in the resultant coalesced droplet. The thermocapillary effect of the liquid substrate plays a significant role in mixing in that the liquid surface velocity and the droplet velocity increase with an increase in the surface temperature gradient. This, in turn, increases the mixing of the coalesced droplet, which is further enhanced when the drop size is smaller. Since the collision is convection dominated, an appropriate time scale is proposed, which provides a universal correlation of the non-dimensional mixing time in terms of Reynolds number.

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References

  • Aref H (1984) Stirring by chaotic advection. J Fluid Mech 143:1–21

    Article  MATH  MathSciNet  Google Scholar 

  • Beebe DJ, Mensing GA, Walker GM (2002) Physics and applications of microfluidics in biology. Annu Rev Biomed Eng 4:261–286

    Article  Google Scholar 

  • Carroll B, Hidrovo C (2013) Experimental investigation of inertial mixing in colliding droplets. Heat Transf Eng 34:120–130

    Article  Google Scholar 

  • Castrejón-Pita J, Kubiak K, Castrejón-Pita A, Wilson M, Hutchings I (2013) Mixing and internal dynamics of droplets impacting and coalescing on a solid surface. Phys Rev E 88:023023

    Article  Google Scholar 

  • Chang C-C, Yang R-J (2007) Electrokinetic mixing in microfluidic systems. Microfluid Nanofluid 3:501–525

    Article  MathSciNet  Google Scholar 

  • Davanlou A (2014) Integration of fiber-optic sensors in measuring machines. Measurement 57:25–32

    Article  Google Scholar 

  • Davanlou A (2015) Thermally induced motion, collision and mixing of levitated droplets. Ph.D. dissertation, University of Central Florida

  • Davanlou A, Kumar R (2015a) Counter-current motion of a droplet levitated on a liquid film undergoing Marangoni convection. Int J Heat Mass Transf 89:345–352

    Article  Google Scholar 

  • Davanlou A, Kumar R (2015b) Thermally induced collision of droplets in an immiscible outer fluid. Sci Rep 5:9531

    Article  Google Scholar 

  • Grigoriev RO, Schatz MF, Sharma V (2006) Chaotic mixing in microdroplets. Lab Chip 6:1369–1372

    Article  Google Scholar 

  • Hosokawa K, Fujii T, Endo I (1999) Handling of picoliter liquid samples in a poly (dimethylsiloxane)-based microfluidic device. Anal Chem 71:4781–4785

    Article  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 Sys 9:190–197

    Article  Google Scholar 

  • Nilsson MA, Rothstein JP (2011) The effect of contact angle hysteresis on droplet coalescence and mixing. J. Colloid Interf Sci 363:646–654

    Article  Google Scholar 

  • Ortiz- Dueñas C, Kim J, Longmire EK (2010) Investigation of liquid–liquid drop coalescence using tomographic PIV. Exp Fluids 49:111–129

    Article  Google Scholar 

  • Paik P, Pamula VK, Pollack MG, Fair RB (2003) Electrowetting-based droplet mixers for microfluidic systems. Lab Chip 3:28–33

    Article  Google Scholar 

  • Park SY, Kalim S, Callahan C, Teitell MA, Chiou EP (2009) A light-induced dielectrophoretic droplet manipulation platform. Lab Chip 9:3228–3235

    Article  Google Scholar 

  • Samie M, Salari A, Shafii MB (2013) Breakup of microdroplets in asymmetric T junctions. Phys Rev E 87:053003

    Article  Google Scholar 

  • Song H, Bringer MR, Tice JD, Gerdts CJ, Ismagilov RF (2003) Experimental test of scaling of mixing by chaotic advection in droplets moving through microfluidic channels. App Phys Lett 83:4664–4666

    Article  Google Scholar 

  • Stone Z, Stone H (2005) Imaging and quantifying mixing in a model droplet micromixer. Phys Fluids (1994-present) 17:063103

    Article  Google Scholar 

  • Stroock AD, Dertinger SK, Ajdari A, Mezić I, Stone HA, Whitesides GM (2002) Chaotic mixer for microchannels. Science 295:647–651

    Article  Google Scholar 

  • Wiggins S, Ottino JM (2004) Foundations of chaotic mixing. Phil Tran R Soc A Math Phys Eng Sci 362:937–970

    Article  MATH  MathSciNet  Google Scholar 

  • Wu Z, Nguyen N-T (2005) Rapid mixing using two-phase hydraulic focusing in microchannels. Biomed Microdevices 7:13–20

    Article  Google Scholar 

  • Yakhshi-Tafti E, Cho HJ, Kumar R (2008) Effect of laminar velocity profile variation on mixing in microfluidic devices: the sigma micromixer. App Phys Lett 93:143504

    Article  Google Scholar 

  • Yakhshi-Tafti E, Cho HJ, Kumar R (2009) Discrete droplet manipulation on liquid platforms using thermal gradients. Procedia Chem 1:1519–1522

    Article  Google Scholar 

  • Yakhshi-Tafti E, Cho HJ, Kumar R (2010) Droplet actuation on a liquid layer due to thermocapillary motion: shape effect. App Phys Lett 96:264101

    Article  Google Scholar 

  • Yakhshi-Tafti E, Cho HJ, Kumar R (2011) Diffusive mixing through velocity profile variation in microchannels. Exp Fluids 50:535–545

    Article  Google Scholar 

  • Yeh S-I, Fang W-F, Sheen H-J, Yang J-T (2013) Droplets coalescence and mixing with identical and distinct surface tension on a wettability gradient surface. Microfluid Nanofluid 14:785–795

    Article  Google Scholar 

  • Yeh S-I, Sheen H-J, Yang J-T (2015) Chemical reaction and mixing inside a coalesced droplet after a head-on collision. Microfluid Nanofluid 18:1355–1363

    Article  Google Scholar 

Download references

Acknowledgments

The support of this work by the National Science Foundation (ECCS-1102280) was acknowledged. Thanks are due to Eduardo A. Castillo for assisting with the figures.

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Correspondence to Ranganathan Kumar.

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Davanlou, A., Kumar, R. Passive mixing enhancement of microliter droplets in a thermocapillary environment. Microfluid Nanofluid 19, 1507–1513 (2015). https://doi.org/10.1007/s10404-015-1656-3

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  • DOI: https://doi.org/10.1007/s10404-015-1656-3

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