Skip to main content
SpringerLink
Log in

Holographic analysis of three-dimensional inertial migration of spherical particles in micro-scale pipe flow

  • Research Paper
  • Published:
Microfluidics and Nanofluidics Aims and scope Submit manuscript

Abstract

The inertial migration of neutrally buoyant spherical particles suspended in a micro-scale pipe flow was investigated in a Reynolds number range of 1.6 ≤ Re ≤ 77.4. A microtube, 350 μm in diameter, was used for the micro-scale pipe flow, and the ratios of the tube diameter (D) to the particle diameter (d) were D/d = 50, 23, and 12. The three-dimensional positions of the particles were measured using a digital holography technique, and the detailed structures of the Segré–Silberberg annulus were visualized. By analyzing the probability density distributions of the particles, the quantitative data of the equilibrium particle positions were obtained and compared to those of previous experimental and numerical studies. Several characteristics of the inertial migration in a micro-scale pipe flow, including the effects of Re and D/d, were analyzed. The results were found to be similar to those obtained in macro-scale flows. The degree of inertial migration was also quantified using the obtained probability density function. Based on these results, simple criteria were suggested on the entry lengths required in the design of inertial microfluidic devices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

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

    Article  MATH  Google Scholar 

  • Bhagat AAS, Kuntaegowdanahalli SS, Papautsky I (2009) Inertial microfluidics for continuous particle filtration and extraction. Microfluid Nanofluid 7:217–226

    Article  Google Scholar 

  • Choi YS, Lee SJ (2009) Three-dimensional volumetric measurement of red blood cell motion using digital holographic microscopy. Appl Opt 48:2983–2990

    Article  Google Scholar 

  • Chun B, Ladd AJC (2006) Inertial migration of neutrally buoyant particles in a square duct: an investigation of multiple equilibrium positions. Phys Fluid 18:031704

    Article  Google Scholar 

  • Di Carlo D (2009) Inertial microfluidics. Lab Chip 9:3038–3046

    Article  Google Scholar 

  • Di Carlo D, Edd JF, Humphry KJ, Stone HA, Toner M (2009) Particle segregation and dynamics in confined flows. Phys Rev Lett 102:094503

    Article  Google Scholar 

  • Eloot S, Bisschop FD, Verdonck P (2004) Experimental evaluation of the migration of spherical particles in three-dimensional Poiseuille flow. Phys Fluid 16:2282–2293

    Article  Google Scholar 

  • Feng J, Hu HH, Joseph DD (1994) Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. J Fluid Mech 277:271–301

    Article  MATH  Google Scholar 

  • Goodman JW (1996) Introduction to Fourier optics. McGraw-Hill, New York

    Google Scholar 

  • Gotoh K (1970) Migration of a neutrally buoyant particle in Poiseuille flow: a possible explanation. Nature 225:848–850

    Article  Google Scholar 

  • Groen FC, Young IT, Ligthart G (1985) A comparison of different focus functions for use in autofocus algorithms. Cytometry 6:81–91

    Article  Google Scholar 

  • Ho BP, Leal LG (1974) Inertial migration of rigid spheres in two-dimensional unidirectional flows. J Fluid Mech 65:365–400

    Article  MATH  Google Scholar 

  • Jäggi 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

    Article  Google Scholar 

  • Kestin J, Khalifa HE, Correia RJ (1981) Tables of the dynamic and kinematic viscosity of aqueous NaCl solutions in the temperature range 20–150°C and the pressure range 0.1–35 Mpa. J Phys Chem Ref Data 10:71–87

    Article  Google Scholar 

  • Kim YW, Yoo JY (2008) The lateral migration of neutrally-buoyant spheres transported through square microchannels. J Micromech Microeng 18:065015

    Article  Google Scholar 

  • Kim YW, Yoo JY (2009a) Axisymmetric flow focusing of particles in a single microchannel. Lab Chip 9:1043–1045

    Article  Google Scholar 

  • Kim YW, Yoo JY (2009b) Three-dimensional focusing of red blood cells in microchannel flows for bio-sensing applications. Biosens Bioelectrons 24:3677–3682

    Article  Google Scholar 

  • Matas J, Moris JF, Guazzelli E (2004) Inertial migration of rigid spherical particles in Poiseuille flow. J Fluid Mech 515:171–195

    Article  MATH  Google Scholar 

  • Matas J, Moris JF, Guazzelli E (2009) Lateral force on a rigid sphere in large-inertia laminar pipe flow. J Fluid Mech 621:59–67

    Article  MATH  Google Scholar 

  • Maude AD, Yearn JA (1967) Particle migrations in suspension flows. J Fluid Mech 30:601–621

    Article  Google Scholar 

  • Meng H, Pan G (2004) Holographic particle image velocimetry: from film to digital recording. Meas Sci Technol 15:673–685

    Article  Google Scholar 

  • Oliver DR (1962) Influence of particle rotation on radial migration in the Poiseuille flow of suspensions. Nature 194:1269–1271

    Article  Google Scholar 

  • Repetti RV, Leonard EF (1964) Segré-Silberberg annulus formation: a possible explanation. Nature 203:1346–1348

    Article  Google Scholar 

  • Schnars U, Jueptner W (2005) Digital holography. Springer, Berlin

    Google Scholar 

  • Schonberg JA, Hinch EJ (1989) Inertial migration of a sphere in Poiseuille flow. J Fluid Mech 203:517–524

    Article  MATH  MathSciNet  Google Scholar 

  • Segré G, Silberberg A (1961) Radial particle displacements in Poiseuille flow of suspensions. Nature 189:209–210

    Article  Google Scholar 

  • Segré G, Silberberg A (1962) Behaviour of macroscopic rigid spheres in Poiseuille flow. J Fluid Mech 14:136–157

    Article  Google Scholar 

  • Shao X, Yu Z, Sun B (2008) Inertial migration of spherical particles in circular Poiseuille flow at moderately high Reynolds numbers. Phys Fluid 20:103307

    Article  Google Scholar 

  • Sheng J, Malkiel E, Katz J (2006) Digital holographic microscope for measuring three-dimensional particle distributions and motions. Appl Opt 45:3893–3901

    Article  Google Scholar 

  • Sickramasinghe SR, Lin WC, Dandy DS (2001) Separation of different sized particles by inertial migration. Biotechnol Lett 23:1417–1422

    Article  Google Scholar 

  • Sun B, Yu Z, Shao X (2009) Inertial migration of a circular particle in nonoscillatory and oscillatory pressure-driven flows at moderately high Reynolds numbers. Fluid Dyn Res 41:055501

    Article  Google Scholar 

  • Uijttewaal WSJ, Nijhof EJ, Heethaar RM (1994) Lateral migration of blood cells and microspheres in two-dimensional Poiseuille flow: a laser-Doppler study. J Biomech 27:35–42

    Article  Google Scholar 

  • Yang S, Ündar A, Zahn JD (2006) A microfluidic device for continuous, real time blood plasma separation. Lab Chip 6:871–880

    Article  Google Scholar 

  • Yu Z, Phan-Thien N, Tanner RI (2004) Dynamic simulation of sphere motion in a vertical tube. J Fluid Mech 518:61–93

    Article  MATH  Google Scholar 

Download references

Acknowledgment

This study was supported by Creative Research Initiatives (Diagnosis of Biofluid Flow Phenomena and Biomimetics Research) of MEST/KOSEF.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Pohang University of Science and Technology, San 31, Hyoja-Dong, Nam-Gu, Pohang, Kyungbuk, 790-784, Korea

    Yong-Seok Choi & Sang-Joon Lee

Authors
  1. Yong-Seok Choi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sang-Joon Lee
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sang-Joon Lee.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choi, YS., Lee, SJ. Holographic analysis of three-dimensional inertial migration of spherical particles in micro-scale pipe flow. Microfluid Nanofluid 9, 819–829 (2010). https://doi.org/10.1007/s10404-010-0601-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10404-010-0601-8

Keywords

Search

Navigation