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Measurement of Dean flow in a curved micro-tube using micro digital holographic particle tracking velocimetry

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Abstract

Digital micro holographic particle tracking velocimetry (HPTV) was used to measure the three-dimensional (3D) velocity field of a laminar flow in a curved micro-tube with a circular cross-section. The micro HPTV system consists of a high-speed camera and a single laser with an acoustic optical modulator (AOM) chopper. We obtained the temporal evolution of the instantaneous velocity field of water flow within curved micro-tubes with inner diameters of 100 and 300 μm. The 3D mean velocity-field distribution was obtained quantitatively by statistically averaging the instantaneous velocity fields. At low Dean numbers (De), a secondary flow was not generated in the curved tube; however, with increasing Dean number a secondary flow consisting of two large-scale counter-rotating vortices arose due to enhanced centrifugal force. To reveal the flow characteristics at high Dean numbers, the trajectories of fluid particles were evaluated experimentally from the 3D velocity-field data measured using the HPTV technique. The present experimental results, especially the 3D particle trajectories, are likely to be helpful in understanding mixing phenomena in curved sections of various 3D curved micro-tubes or micro-channels, as well as in the design of such structures.

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References

  • Baek SJ, Lee SJ (1996) A new two-frame particle tracking algorithm using match probability. Exp Fluids 22:23–32

    Article  Google Scholar 

  • Carl D, Kemper B, Wernicke G, Von Bally G (2004) Parameter-optimized digital holographic microscope for high-resolution living-cell analysis. Appl Optics 43:6536–6544

    Article  Google Scholar 

  • Dean WR (1927) Note on the motion of fluid in a curved pipe. Philos Mag 4:208–223

    Google Scholar 

  • Dertinger SKW, Chiu DT, Jeon NL, Whitesides GM (2001) Generation of gradients having complex shapes using microfluidic networks. Anal Chem 73:1240–1246

    Article  Google Scholar 

  • Ehrfeld W, Golbig K, Hessel V, Löwe H, Richter T (1999) Characterization of mixing in micromixers by a test reaction: single mixing units and mixer arrays. Ind Eng Chem Res 38:1075–1082

    Article  Google Scholar 

  • Hessel V, Hardt S, Löwe H (2004) Chemical micro process engineering—fundamentals, modeling and reactions. Wiley-VCH, Weinheim

    Google Scholar 

  • Hwang NHC, Turitto VT, Yen MRT (1992) Advances in cardiovascular engineering. Plenum, New York, pp 139–141

    Google Scholar 

  • Jiang F, Drese KS, Hardt S, Kupper M, Schönfeld F (2004) Helical flows and chaotic mixing in curved micro channels. AIChE J 50:2297–2305

    Article  Google Scholar 

  • Kawazumi H, Tashiro A, Ogino K, Maeda H (2002) Observation of fluidic behavior in a polymethylmethacrylate-fabricated microchannel by a simple spectroscopic analysis. Lab Chip 2:8–10

    Article  Google Scholar 

  • Kim S, Lee SJ (2007) Measurement of 3D laminar flow inside a micro-tube using micro digital holographic particle tracking velocimetry. J Micromech Microeng 17:2157–2162

    Article  Google Scholar 

  • Kim MK, Yu L, Mann CJ (2006) Interference techniques in digital holography. J Opt A Pure Appl Opt 8:S518–S523

    Article  Google Scholar 

  • Kukrer O, Hocanin A (2006) Frequency-response-shaped LMS adaptive filter. Digit Signal Process 16:855–869

    Article  Google Scholar 

  • Liu S, Afacan A, Nasr-El-Din HA, Masliyah JH (1994) An experimental study of pressure drop in helical pipes. Proc R Soc Lond A 444:307–316

    Google Scholar 

  • Marquet P, Rappaz B, Magistretti PJ, Cuche E, Emery Y, Colomb T, Depeursinge C (2005) Digital holographic microscopy: a noninvasive contrast imaging technique allowing quantitative visualization of living cells with subwavelength axial accuracy. Opt Lett 30:468–470

    Article  Google Scholar 

  • Mori Y, Uchida Y, Ukon T (1971) Forced convective heat transfer in a curved channel with a square cross section. Int J Heat Mass Transf 14:1787–1805

    Article  MATH  Google Scholar 

  • Murata S, Yasuda N (2000) Potential of digital holography in particle measurement. Opt Laser Technol 32:567–574

    Article  Google Scholar 

  • Oddy MH, Santiago JG, Mikkelsen JC (2001) Electrokinetic instability micromixing. Anal Chem 73:5822–5832

    Article  Google Scholar 

  • Pedrini G, Tiziani HJ (1977) Quantitative evaluation of two-dimensional dynamic deformations using digital holography. Opt Laser Technol 29:249–256

    Article  Google Scholar 

  • Picart P, Leval J, Mounier D, Gougeon S (2005) Some opportunities for vibration analysis with time averaging in digital Fresnel holography. Appl Opt 44:337–343

    Article  Google Scholar 

  • Popescu G, Delflores LP, Vaughan JC, Badizadegan K, Iwai H, Dasari R, Feld MS (2004) Fourier phase microscopy for investigation of biological structures and dynamics. Opt Lett 29:2503–2505

    Article  Google Scholar 

  • Satake S (2006) Measurements of 3D flow in a micro-pipe via micro digital holographic particle tracking velocimetry. Meas Sci Technol 17:1647–1651

    Article  Google Scholar 

  • Schnars U, Juptner W (1994) Direct recording of holograms by a CCD target and numerical reconstruction. Appl Opt 33:179–181

    Article  Google Scholar 

  • Schönfeld F, Hardt S (2004) Simulation of helical flows in microchannels. AIChE J 50:771–778

    Article  Google Scholar 

  • Schwartz JA, Vykoual JV, Gascoyne RC (2004) Droplet-based chemistry on a programmable microchip. Lab Chip 4:11–17

    Article  Google Scholar 

  • Stroock AD, Dertinger SKW, Ajdari A, Mezic I, Stone HA, Whitesides GM (2002) Chaotic mixing in microchannels. Science 295:647–651

    Article  Google Scholar 

  • Svasek P, Jobst G, Urban G and Svasek E (1996) Dry film resist based fluid handling components for μTAS Proc. of the 2nd International Symposium on Miniaturized TAS, Analytical Methods & Instrumentation, Special Issue μTAS 1996, Basel, pp 78–80

  • Xu ML, Peng X, Miao J, Asundi A (2001a) Studies of digital microscopic holography with applications to microstructure testing. Appl Opt 40:5046–5051

    Article  Google Scholar 

  • Xu W, Jericho MH, Meinertzhagen IA, Kreuzer HJ (2001b) Digital in-line holography for biological applications. Proc Natl Acad Sci USA 98:11301–11305

    Article  Google Scholar 

  • Zajtsev AK, Linb SH, Hsu KY (2001) Sidelobe suppression of spectral response in holographic optical filter. Opt Commun 190:103–108

    Article  Google Scholar 

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Acknowledgments

This work was supported by the Korea Science and Engineering Foundation (KOSEF) through the National Research Laboratory Program funded by the Ministry of Science and Technology (M10600000276-06J0000-27610).

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Authors and Affiliations

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

    Seok Kim & Sang Joon Lee

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  1. Seok Kim
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  2. Sang Joon Lee
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Correspondence to Sang Joon Lee.

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Kim, S., Lee, S.J. Measurement of Dean flow in a curved micro-tube using micro digital holographic particle tracking velocimetry. Exp Fluids 46, 255–264 (2009). https://doi.org/10.1007/s00348-008-0555-8

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  • DOI: https://doi.org/10.1007/s00348-008-0555-8

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