Abstract
In this work, we investigated the lateral migration of microparticles suspended in two different viscoelastic fluids with or without the second normal stress difference. For the viscoelastic fluid without the second normal stress difference, competing forces existed between microfluidic inertia and the first normal stress difference (N 1), which resulted in a synergetic effect of particle focusing. For the fluid with the second normal stress difference (N 2), particles were greatly affected by a N 2-induced secondary flow, and the competition among the inertia, N 1, and N 2 determined the lateral migration trajectories of the particles. The obtained results were delineated with the blockage ratio, which showed good agreement with the results of a recent numerical study (Villone et al. in J Non Newton Fluid Mech 195:1–8, 2013). The present study also examined the possibility of particle separation in a size-dependent manner using the N 2-induced secondary flow in microchannel flow.
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References
Ahn K, Agresti J, Chong H, Marquez M, Weitz DA (2006) Electrocoalescence of drops synchronized by size-dependent flow in microfluidic channels. Appl Phys Lett 88:264105
Brady JF, Carpen IC (2001) Second normal stress jump instability in non-Newtonian fluids. J Non Newtonian Fluid Mech 102:219–232
D’Avino G, Romeo G, Villone MM, Greco F, Netti PA, Maffettone PL (2012) Single line particle focusing induced by viscoelasticity of the suspending liquid: theory, experiments and simulations to design a micropipe flow-focuser. Lab Chip 12:1638–1645
Debbaut B, Dooley J (1999) Secondary motions in straight and tapered channels: experiments and three-dimensional finite element simulation with a multimode differential viscoelastic model. J Rheol 43:1525
Debbaut B, Avalosse T, Dooley J, Hughes K (1997) On the development of secondary motions in straight channels induced by the second normal stress difference: experiments and simulations. J. Non Newton Fluid Mech 69:255–271
Di Carlo D (2009) Inertial microfluidics. Lab Chip 9:3038–3046
Di Carlo D, Edd JF, Humphry KJ, Stone HA, Toner M (2009) Particle segregation and dynamics in confined flows. Phys Rev Lett 102:094503
Dodson AG, Townsend P, Walters K (1974) Non-Newtonian flow in pipes of non-circular cross section. Comput Fluids 2:317–338
Escudier MP, Nickson AK, Poole RJ (2009) Turbulent flow of viscoelastic shear-thinning liquids through a rectangular duct: quantification of turbulence anisotropy. J Non Newton Fluid Mech 160:2–10
Gao SX, Hartnett JP (1996) Heat transfer behavior of Reiner-Rivlin fluids in rectangular ducts. Int J Heat Mass Trans 39:1317–1324
Gervang B, Larsen PS (1991) Secondary flows in straight ducts of rectangular cross section. J Non Newton Fluid Mech 39:217–237
Gossett DR, Carlo DD (2009) Particle focusing mechanisms in curving confined flows. Anal Chem 81:8459–8465
Hayes JW, Hutton JF (1972) Measurement of the normal stress coefficients of dilute polymer solutions from the flow in a curved tube. Rheol Acta 11:89–92
Huang LR, Cox EC, Austin RH, Sturm JC (2004) Continuous particle separation through deterministic lateral displacement. Science 304:987–990
Hung SH, Lin YH, Lee GB (2010) A microfluidic platform for manipulation and separation of oil-in-water emulsion droplets using optically induced dielectrophoresis. J Micromech Microeng 20:045026
Kim JY, Ahn SW, Lee SS, Kim JM (2012) Lateral migration and focusing of colloidal particles and DNA molecules under viscoelastic flow. Lab Chip 12:2807–2814
Kuntaegowdanahalli SS, Bhagat AAS, Kumar G, Papautsky I (2009) Inertial microfluidics for continuous particle separation in spiral microchannels. Lab Chip 9:2973–2980
Kurose R, Komori S (1999) Drag and lift forces on a rotating sphere in a linear shear flow. J Fluid Mech 384:183–206
Lee MG, Choi S, Kim HJ, Lim HK, Kim JH, Huh N, Park JK (2011) Inertial blood plasma separation in a contraction–expansion array microchannel. Appl Phys Lett 98:253702
Leshansky AM, Bransky A, Korin N, Dinnar U (2007) Tunable nonlinear viscoelastic “focusing” in a microfluidic device. Phys Rev Lett 98:234501
Loth E, Dorgan AJ (2009) An equation of motion for particles of finite Reynolds number and size. Environ Fluid Mech 9:187–206
Maenaka H, Yamada M, Yasuda M, Seki M (2008) Continuous and size-dependent sorting of emulsion droplets using hydrodynamics in pinched microchannels. Langmuir 24:4405–4410
Nam J, Lee Y, Shin S (2011a) Size-dependent microparticles separation through standing surface acoustic waves. Microfluid Nanofluid 11:317–326
Nam J, Lim H, Kim D, Shin S (2011b) Separation of platelets from whole blood using standing surface acoustic waves in a microchannel. Lab Chip 11:3361–3364
Nam J, Lim H, Kim D, Jung H, Shin S (2012) Continuous separation of microparticles in a microfluidic channel via the elasto-inertial effect of non-Newtonian fluid. Lab Chip 12:1347–1354
Ramachandran A, Leighton DT (2008) The influence of secondary flows induced by normal stress differences on the shear-induced migration of particles in concentrated suspensions. J Fluid Mech 603:207–243
Reiner M (1964) The Deborah number. Phys Today 17:62
Sekino T, Hasegawa T, Kobayasi H (1993) Measurement of the second normal stress difference of aqueous polymer solutions and an aqueous detergent solution by utilizing a flow induced by the gravity between two parallel plates. J Rheol 37:568
Shin S (1993) A study of laminar heat transfer enhancement with temperature-dependent Newtonian and non-Newtonian fluids in a rectangular duct, Ph.D. Dissertation, Drexel University
Shin S, Ahn HH, Cho YI, Sohn CH (1999) Heat transfer behavior of a temperature-dependent non-Newtonian fluid with Reiner-Rivlin model in a 2:1 rectangular duct. Int J Heat Mass Trans 42:2935–2942
Stephenwilliams P, Lee S, Calvingiddings J (1994) Characterization of hydrodynamic lift forces by field-flow fractionation. Inertial and near-wall lift forces. Chem Eng Commun 130:143–166
Syrjälä S (1998) Laminar flow of viscoelastic fluids in rectangular ducts with heat transfer: a finite element analysis. Int Commun Heat Mass Transf 25:191–204
Tanner RI (1970) Some methods for estimating the normal stress functions in viscometric flows. Trans Soc Rheol 14:483
Tirtaatmadja V, McKinley GH, Cooper-White JJ (2006) Drop formation and breakup of low viscosity elastic fluids: effects of molecular weight and concentration. Phys Fluids 18:043101
Toner M, Irimia D (2005) Blood-on-a-chip. Annu Rev Biomed Eng 7:77–103
Townsend P, Walters K, Waterhouse WM (1976) Secondary flows in pipes of square cross-section and the measurement of the second normal stress difference. J Non Newton Fluid Mech 1:107–123
Villone M, D’Avino G, Hulsen M, Greco F, Maffettone P (2013) Particle motion in square channel flow of a viscoelastic liquid: migration vs. secondary flows. J Non Newton Fluid Mech 195:1–8
Yang S, Kim JY, Lee SJ, Lee SS, Kim JM (2011) Sheathless elasto-inertial particle focusing and continuous separation in a straight rectangular microchannel. Lab Chip 11:266–273
Yue P, Dooley J, Feng JJ (2008) A general criterion for viscoelastic secondary flow in pipes of noncircular cross section. J Rheol 52:315
Zhou J, Papautsky I (2013) Fundamentals of inertial focusing in microchannels. Lab Chip 13:1121–1132
Acknowledgments
This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MEST) (No. 2009-0080636). This research was also supported by the Nano-Material Technology Development Program (Green Nano Technology Development Program) of the NRF funded by the Ministry of Education, Science and Technology of Korea (No. 2011-0020090).
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Lim, H., Nam, J. & Shin, S. Lateral migration of particles suspended in viscoelastic fluids in a microchannel flow. Microfluid Nanofluid 17, 683–692 (2014). https://doi.org/10.1007/s10404-014-1353-7
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DOI: https://doi.org/10.1007/s10404-014-1353-7