Abstract
The Dean-coupled inertial migration of neutrally buoyant spherical particles that are suspended in a curved microscale pipe flow was experimentally investigated in the range of \( 6.4 \le {\text{Re}} \le 129 \) and \( 1.69 \le De \le 34.1 \). The three-dimensional positions of the particles were measured by using digital holographic microscopy. The diameter of the microtube was 350 μm, and the ratios of the tube diameter (D) to the particle diameter (d) were D/d = 12, 23, 35, and 50. Over a critical value of the Focusing number (F C), the particles were initially tubular-pinched at the entrance of the curved region. The detailed structures of the Segré–Silberberg annulus as well as its deformation attributed to secondary flow were analyzed. Diverse agglomeration patterns of particles corresponding to the various flow conditions were observed. The optimal conditions that induced the particles to focus at a certain lateral position were determined.
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References
Asmolov ES (1999) The inertial lift on a spherical particle in a plane Poiseuille flow at large channel Reynolds number. J Fluid Mech 381:63–87
Berger SA, Talbot L, Yao LS (1983) Flow in curved pipes. Annu Rev Fluid Mech 15:461–512
Bhagat AAS, Kuntaegowdanahalli SS, Papautsky I (2008) Continuous particle separation in spiral microchannels using dean flows and differential migration. Lab Chip 8:1906–1914. doi:10.1039/B807107a
Choi YS, Lee SJ (2009) Three-dimensional volumetric measurement of red blood cell motion using digital holographic microscopy. Appl Opt 48:2983–2990
Choi YS, Lee SJ (2010) Holographic analysis of three-dimensional inertial migration of spherical particles in micro-scale pipe flow. Microfluid Nanofluid 9:819–829. doi:10.1007/s10404-010-0601-8
Choi YS, Seo KW, Lee SJ (2011) Lateral and cross-lateral focusing of spherical particles in a square microchannel. Lab Chip 11:460–465. doi:10.1039/C0lc00212g
Chun B, Ladd AJC (2006) Inertial migration of neutrally buoyant particles in a square duct: an investigation of multiple equilibrium positions. Phys Fluids 18:031704. doi:10.1063/1.2176587
Dean WR (1928) Fluid motion in a curved channel. Proc R Soc Lond A 121:402–420
Di Carlo D (2009) Inertial microfluidics. Lab Chip 9:3038–3046. doi:10.1039/B912547g
Di Carlo D, Edd JF, Humphry KJ, Stone HA, Toner M (2009) Particle segregation and dynamics in confined flows. Phys Rev Lett 102:094503. doi:10.1103/Physrevlett.102.094503
Gelfgat AY, Yarin AL, Bar-Yoseph PZ (2003) Dean vortices-induced enhancement of mass transfer through an interface separating two immiscible liquids. Phys Fluids 15:330–347. doi:10.1063/1.1532732
Jaggi RD, Sandoz R, Effenhauser CS (2007) Microfluidic depletion of red blood cells from whole blood in high-aspect-ratio microchannels. Microfluid Nanofluid 3:47–53. doi:10.1007/s10404-006-0104-9
Kim S, Lee SJ (2009) Measurement of Dean flow in a curved micro-tube using micro digital holographic particle tracking velocimetry. Exp Fluids 46:255–264. doi:10.1007/s00348-008-0555-8
Kim YW, Yoo JY (2008) The lateral migration of neutrally-buoyant spheres transported through square microchannels. J Micromech Microeng 18:065015. doi:10.1088/0960-1317/18/6/065015
Kim YW, Yoo JY (2009a) Axisymmetric flow focusing of particles in a single microchannel. Lab Chip 9:1043–1045. doi:10.1039/B815286a
Kim YW, Yoo JY (2009b) Three-dimensional focusing of red blood cells in microchannel flows for bio-sensing applications. Biosens Bioelectron 24:3677–3682. doi:10.1016/j.bios.2009.05.037
Kim YW, Yoo JY (2012) Transport of solid particles in microfluidic channels. Opt Lasers Eng 50:87–98
Kuntaegowdanahalli SS, Bhagat AAS, Kumar G, Papautsky I (2009) Inertial microfluidics for continuous particle separation in spiral microchannels. Lab Chip 9:2973–2980. doi:10.1039/B908271a
Matas JP, Morris JF, Guazzelli E (2004) Inertial migration of rigid spherical particles in Poiseuille flow. J Fluid Mech 515:171–195. doi:10.1017/S0022112004000254
Matas JP, Morris JF, Guazzelli E (2009) Lateral force on a rigid sphere in large-inertia laminar pipe flow. J Fluid Mech 621:59–67. doi:10.1017/S0022112008004977
Ookawara S, Street D, Ogawa K (2006) Numerical study on development of particle concentration profiles in a curved microchannel. Chem Eng Sci 61:3714–3724. doi:10.1016/j.ces.2006.01.016
Schonberg JA, Hinch EJ (1989) Inertial migration of a sphere in Poiseuille flow. J Fluid Mech 203:517–524
Segre G, Silberberg A (1961) Radial particle displacements in Poiseuille flow of suspensions. Nature 189:209–210
Shao XM, Yu ZS, Sun B (2008) Inertial migration of spherical particles in circular Poiseuille flow at moderately high Reynolds numbers. Phys Fluids 20:103307. doi:10.1063/1.3005427
Sheng J, Malkiel E, Katz J (2006) Digital holographic microscope for measuring three-dimensional particle distributions and motions. Appl Opt 45:3893–3901
Wickramasinghe SR, Lin WC, Dandy DS (2001) Separation of different sized particles by inertial migration. Biotechnol Lett 23:1417–1422
Yang S, Undar A, Zahn JD (2006) A microfluidic device for continuous, real time blood plasma separation. Lab Chip 6:871–880. doi:10.1039/B516401j
Acknowledgments
This research was supported by the World Class University Program (R31-2008-000-10105-0) and the Creative Research Initiatives (Diagnosis of Biofluid Flow Phenomena and Biomimic Research) of the National Research Foundation of Korea, funded by the Ministry of Education, Science, and Technology.
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Seo, K.W., Choi, Y.S. & Lee, S.J. Dean-coupled inertial migration and transient focusing of particles in a curved microscale pipe flow. Exp Fluids 53, 1867–1877 (2012). https://doi.org/10.1007/s00348-012-1403-4
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DOI: https://doi.org/10.1007/s00348-012-1403-4