Skip to main content
Log in

Parameters affecting the shape of a hydrodynamically focused stream

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

Abstract

Even at low Reynolds numbers, momentum can impact the shape of hydrodynamically focused flow. Both theoretical and experimental characterization of hydrodynamic focusing in microchannels at Reynolds numbers ≤25 revealed the important parameters that affect the shape of the focused layer. A series of symmetric and asymmetric microfluidic channels with two converging streams were fabricated with different angles of confluence at the junction. The channels were used to study the characteristics of Y-type microchannels for flow-focusing. Computational analysis and experimental results gathered using confocal microscopy and particle image velocimetry indicated that the orientation of the sheath and the sample stream inlets, as well as the absolute flow velocities, determine the curvature in the concentration distribution of the focused stream. Decreasing the angle of confluence between sheath and sample, as well as reducing the overall Reynolds number, resulted in a flat interface between sheath and focused fluids. Alignment of the faster flowing sheath fluid channel with the main channel also reduced the inertial effects and produced a focused stream with a flat concentration profile. Control over the shape of the focused stream is important in many biosensors and lab-on-a-chip devices that rely on hydrodynamic focusing for increased detection sensitivity.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Anna SL, Bontoux N, Stone HA (2003) Formation of dispersions using “flow focusing” in microchannels. Appl Phys Lett 82:364

    Article  Google Scholar 

  • Atencia J, Beebe DJ (2005) Controlled microfluidic interfaces. Nature 437(7059):648–655

    Article  Google Scholar 

  • Ben-Tzvi P, Rone W (2010) Microdroplet generation in gaseous and liquid environments. Microsyst Technol 16(3):333–356

    Article  Google Scholar 

  • Brody JP, Yager P, Goldstein RE, Austin RH (1996) Biotechnology at low Reynolds numbers. Biophys J 71(6):3430–3441

    Article  Google Scholar 

  • Choi Y-S, Seo K-W, Lee S-J (2011) Lateral and cross-lateral focusing of spherical particles in a square microchannel. Lab Chip 11(3):460–465

    Article  Google Scholar 

  • Culbertson CT, Jacobson SC, Michael Ramsey J (2002) Diffusion coefficient measurements in microfluidic devices. Talanta 56(2):365–373

    Article  Google Scholar 

  • de Mello AJ, Edel JB (2007) Hydrodynamic focusing in microstructures: improved detection efficiencies in subfemtoliter probe volumes. J Appl Phys 101:084903–084908

    Article  Google Scholar 

  • Di Carlo D (2009) Inertial microfluidics. Lab Chip 9(21):3038–3046

    Article  Google Scholar 

  • Fick A (1855) On liquid diffusion. Philos Mag Ser 4 10(63):30–39

    Google Scholar 

  • Fujisawa N, Nakamura Y, Matsuura F, Sato Y (2006) Pressure field evaluation in microchannel junction flows through PIV measurement. Microfluid Nanofluid 2(5):447–453

    Article  Google Scholar 

  • Gobby D, Angeli P, Gavriilidis A (2001) Mixing characteristics of T-type microfluidic mixers. J Micromech Microeng 11(2):126–132

    Article  Google Scholar 

  • Golden JP, Kim JS, Erickson JS, Hilliard LR, Howell PB, Anderson GP, Nasir M, Ligler FS (2009) Multi-wavelength microflow cytometer using groove-generated sheath flow. Lab Chip 9(13):1942

    Article  Google Scholar 

  • Hairer G, Vellekoop MJ (2009) An integrated flow-cell for full sample stream control. Microfluid Nanofluid 7(5):647–658

    Article  Google Scholar 

  • Hatch A, Kamholz AE, Hawkins KR, Munson MS, Schilling EA, Weigl BH, Yager P (2001) A rapid diffusion immunoassay in a T-sensor. Nat Biotechnol 19:461–465

    Article  Google Scholar 

  • Hofmann O, Voirin G, Niedermann P, Manz A (2002) Three-dimensional microfluidic confinement for efficient sample delivery to biosensor surfaces. Application to immunoassays on planar optical waveguides. Anal Chem 74(20):5243–5250

    Article  Google Scholar 

  • Howell PB, Mott DR, Golden JP, Ligler FS (2004) Design and evaluation of a Dean vortex-based micromixer. Lab Chip 4(6):663–669

    Article  Google Scholar 

  • Hua SZ, Pennell T (2009) A microfluidic chip for real-time studies of the volume of single cells. Lab Chip 9(2):251–256

    Article  Google Scholar 

  • Huh D, Gu W, Kamotani Y, Grotberg JB, Takayama S (2005) Microfluidics for flow cytometric analysis of cells and particles. Physiol Meas 26(3):73–98

    Article  Google Scholar 

  • Ismagilov RF, Stroock AD, Kenis PJA, Whitesides G, Stone HA (2000) Experimental and theoretical scaling laws for transverse diffusive broadening in two-phase laminar flows in microchannels. Appl Phys Lett 76:2376–2377

    Article  Google Scholar 

  • Kamholz AE, Weigl BH, Finlayson BA, Yager P (1999) Quantitative analysis of molecular interaction in a microfluidic channel: the T-sensor. Anal Chem 71(23):5340–5347

    Article  Google Scholar 

  • Kenis PJA, Ismagilov RF, Whitesides GM (1999) Microfabrication inside capillaries using multiphase laminar flow patterning. Science 285(5424):83–85

    Article  Google Scholar 

  • Kim YT, Pekkan K, Messner WC, LeDuc PR (2010) Three-dimensional chemical profile manipulation using two-dimensional autonomous microfluidic control. J Am Chem Soc 132(4):1339–1347

    Article  Google Scholar 

  • Leatzow DM, Dodson JM, Golden JP, Ligler FS (2002) Attachment of plastic fluidic components to glass sensing surfaces. Biosens Bioelectron 17(1–2):105–110

    Article  Google Scholar 

  • Lee GB, Chang CC, Huang SB, Yang RJ (2006) The hydrodynamic focusing effect inside rectangular microchannels. J Micromech Microeng 16(5):1024–1032

    Article  Google Scholar 

  • Liu J, Oran E, Kaplan C, Mott D (2007) FCT and Direct Pressure Evaluation for Incompressible Flows. In: 45th AIAA aerospace sciences meeting and exhibit, Reno, Nevada, 2007, p 319

  • Mott DR, Howell Jr PB, Golden JP, Kaplan CR, Ligler FS, Oran ES (2006) A Lagrangian advection routine applied to microfluidic component design. In: 44th AIAA aerospace sciences meeting and exhibit, Reno, Nevada, 2006, p 1086

  • Munson MS, Hasenbank MS, Fu E, Yager P (2004) Suppression of non-specific adsorption using sheath flow. Lab Chip 4(5):438–445

    Article  Google Scholar 

  • Nasir M, Ateya DA, Burk D, Golden JP, Ligler FS (2009) Hydrodynamic focusing of conducting fluids for conductivity-based biosensors. Biosens Bioelectron 25(6):1363–1369

    Article  Google Scholar 

  • Ravensbergen J, Krijger JKB, Hillen B, Hoogstraten HW (1996) The influence of the angle of confluence on the flow in a vertebro-basilar junction model. J Biomech 29(3):281–299

    Article  Google Scholar 

  • Rhoads BL, Kenworthy ST (1995) Flow structure at an asymmetrical stream confluence. Geomorphology 11(4):273–293

    Article  Google Scholar 

  • Simonnet C, Groisman A (2006) High-throughput and high-resolution flow cytometry in molded microfluidic devices. Anal Chem 78(16):5653–5663

    Article  Google Scholar 

  • Squires TM, Quake SR (2005) Microfluidics: fluid physics at the nanoliter scale. Rev Modern Phys 77(3):977

    Article  Google Scholar 

  • Thorsen T, Roberts RW, Arnold FH, Quake SR (2001) Dynamic pattern formation in a vesicle-generating microfluidic device. Phys Rev Lett 86(18):4163–4166

    Article  Google Scholar 

  • Walsh PA, Walsh EJ, Davies MRD (2007) On the out-of-plane divergence of streamtubes in planar mini-scale flow focusing devices. Int J Heat Fluid Flow 28(1):44–53

    Article  Google Scholar 

  • Weigl BH, Yager P (1999) Microfluidics: microfluidic diffusion-based separation and detection. Science 283(5400):346–347

    Article  Google Scholar 

  • White FM (1991) Viscous fluid flow, vol 66. McGraw-Hill, New York

    Google Scholar 

  • Whitesides GM (2006) The origins and the future of microfluidics. Nature 442(7101):368–373

    Article  Google Scholar 

  • Yang M, Yang J, Li CW, Zhao J (2002) Generation of concentration gradient by controlled flow distribution and diffusive mixing in a microfluidic chip. Lab Chip 2(3):158–163

    Article  Google Scholar 

  • Yang J, Pi X, Zhang L, Liu X, Yang J, Cao Y, Zhang W, Zheng X (2007) Diffusion characteristics of a T-type microchannel with different configurations and inlet angles. Anal Sci 23(6):697–703

    Article  Google Scholar 

Download references

Acknowledgments

This project is funded by the Defense Threat Reduction Agency (DTRA #AA07CBT015). The authors would like to thank Dr. James W Fleming at NRL for use of the PIV instrument. Dr. Matthew Kennedy is a National Research Council (NRC) Postdoctoral Fellow. The views are those of the authors and do not represent opinion or policy of the US Navy or Department of Defense.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Frances S. Ligler.

Electronic supplementary material

Below is the link to the electronic supplementary material.

Supplementary material 1 (DOCX 610 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nasir, M., Mott, D.R., Kennedy, M.J. et al. Parameters affecting the shape of a hydrodynamically focused stream. Microfluid Nanofluid 11, 119–128 (2011). https://doi.org/10.1007/s10404-011-0778-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10404-011-0778-5

Keywords

Navigation