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Volumetric correlation PIV: a new technique for 3D velocity vector field measurement

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Abstract

A method is proposed that allows three-dimensional (3D) two-component measurements to be made by means of particle image velocimetry (PIV) in any volume illuminated over a finite thickness. The method is based on decomposing the cross-correlation function into various contributions at different depths. Because the technique is based on 3D decomposition of the correlation function and not reconstruction of particle images, there is no limit to particle seeding density as experienced by 3D particle tracking algorithms such as defocusing PIV and tomographic PIV. Correlations from different depths are differentiated by the variation in point spread function of the lens used to image the measurement volume over that range of depths. A number of examples are demonstrated by use of synthetic images which simulate micro-PIV (μPIV) experiments. These examples vary from the trivial case of Couette flow (linear variation of one velocity component over depth) to a general case where both velocity components vary by different complex functions over the depth. A final validation—the measurement of a parabolic velocity profile over the depth of a microchannel flow—is presented. The same method could also be applied using a thick light sheet in macro-scale PIV and in a stereo configuration for 3D three-component PIV.

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References

  • Adrian R, Yao C (1985) Pulsed laser technique application to liquid and gaseous flows and the scattering power of seed materials. Appl Optics 24:42–52

    Google Scholar 

  • Arroyo M, Greated C (1991) Stereoscopic particle image velocimetry. Meas Sci Technol 2:1181–1186

    Article  Google Scholar 

  • Barnhart D, Adrian R, Papen G (1994) Phase-conjugate holographic system for high-resolution particle image velocimetry. Appl Opt 33:7159–7170

    Article  Google Scholar 

  • Bourdon C, Olsen M, Gorby A (2004) Validation of an analytical solution for depth of correlation in microscopic particle image velocimetry. Meas Sci Technol 15:318–327

    Article  Google Scholar 

  • Elsinga G, Scarano F, Wieneke B, van Oudheusen B (2006) Tomographic particle image velocimetry. Exp Fluid 41:933–947

    Article  Google Scholar 

  • Forouhar A, Liebling M, Hickerson A, Nasiraei-Moghaddam A, Tsai HJ, Hove J, Fraser S, Dickinson M, Gharib M (2006) The embryonic vertebrate heart tube is a dynamic suction pump. Science 312(5774):751–753

    Article  Google Scholar 

  • Fouras A, Dusting J, Hourigan K (2007a) A simple calibration technique for stereoscopic particle image velocimetry. Exp Fluid 42:799–810

    Article  Google Scholar 

  • Fouras A, Dusting J, Lewis R, Hourigan K (2007b) Three-dimensional synchrotron X-ray particle image velocimetry. J Appl Phys 102:064,916–064,922

    Article  Google Scholar 

  • Fouras A, Lo Jacono D, Hourigan K (2008) Target-free Stereo PIV: a novel technique with inherent error estimation and improved accuracy. Exp Fluid 44:317–329

    Article  Google Scholar 

  • Kahler C (2004) Investigation of spatio-temporal flow structure in the buffer region of a turbulent boundary layer by means of multiplane stereo PIV. Exp Fluid 36:114–130

    Article  Google Scholar 

  • Lo Jacono D, Plouraboué F, Bergeon A (2005) Weak-inertial flow between two rough surfaces. Phys Fluid 17:63,602

    Article  Google Scholar 

  • Meinhart C, Wereley S, Gray M (2000a) Volume illumination for two-dimensional particle image velocimetry. Meas Sci Technol 11:809–814

    Article  Google Scholar 

  • Meinhart CD, Werely ST, Santiago JS (2000b) A PIV algorithm for estimating time-averaged velocity fields. J Fluid Eng 122:285–289

    Article  Google Scholar 

  • Olsen M, Adrian R (2000a) Brownian motion and correlation in particle image velocimetry. Opt Laser Technol 32:621–627

    Article  Google Scholar 

  • Olsen M, Adrian R (2000b) Out-of-focus effects on particle image visibility and correlation in microscopic particle image velocimetry. Exp Fluid 29:S166–S174

    Article  Google Scholar 

  • Olsen M, Bourdon C (2003) Out-of-plane motion effects in microscopic particle image velocimetry. J Fluid Eng 125:895–901

    Article  Google Scholar 

  • Park J, Kihm K (2006) Three-dimensional micro-PTV using deconvolution microscopy. Exp Fluid 40:491–499

    Article  Google Scholar 

  • Pereira F, Gharib M, Dabiri D, Modarress M (2000) Defocusing DPIV: A 3-component 3-D DPIV measurement technique application to bubbly flows. Exp Fluid 29:S78–S84

    Article  Google Scholar 

  • Schlichting H, Gersten K (2003) Boundary-layer theory, 8th edn. Springer, New York

  • Schroder A, Kompenhans J (2004) Investigation of a turbulent spot using multi-plane stereo particle image velocimetry. Exp Fluid 36:82–90

    Article  Google Scholar 

  • Willert C, Gharib M (1992) Three-dimensional particle imaging with a single camera. Exp Fluid 12:353–358

    Article  Google Scholar 

  • Zhang J, Tao B, Katz J (1997) Turbulent flow measurement in a square duct with hybrid holographic PIV. Exp Fluid 23:373–381

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Division of Biological Engineering, Monash University, Melbourne, Australia

    Andreas Fouras & Kerry Hourigan

  2. Fluids Laboratory for Aeronautical and Industrial Research (FLAIR), Monash University, Melbourne, Australia

    Andreas Fouras, David Lo Jacono, Chuong Vinh Nguyen & Kerry Hourigan

Authors
  1. Andreas Fouras
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  2. David Lo Jacono
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  3. Chuong Vinh Nguyen
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  4. Kerry Hourigan
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Correspondence to Andreas Fouras.

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Fouras, A., Lo Jacono, D., Nguyen, C.V. et al. Volumetric correlation PIV: a new technique for 3D velocity vector field measurement. Exp Fluids 47, 569–577 (2009). https://doi.org/10.1007/s00348-009-0616-7

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  • DOI: https://doi.org/10.1007/s00348-009-0616-7

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