Skip to main content
Log in

PIV measurements of flow around an arbitrarily moving free surface

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

We present an image preprocessing method for particle image velocimetry (PIV) measurements of flow around an arbitrarily moving free surface. When performing PIV measurements of free surface flows, the interrogation windows neighboring the free surface are vulnerable to a lack, or even an absence, of seeding particles, which induces less reliable measurements of the velocity field. In addition, direct measurements of the free surface velocity using PIV have been challenging due to the intermittent appearance of the arbitrarily moving free surface. To address the aforementioned limitations, the PIV images with a curvilinear free surface can be treated to be suitable for a structured interrogation window arrangement in a Cartesian grid. The proposed image preprocessing method is comprised of a free surface detection method and an image transform process. The free surface position was identified using a free surface detection method based on multiple textons. The detected free surface points were used to transform PIV images of a curvilinear free surface into images with a straightened free surface using a cubic Hermite spline interpolation scheme. After the image preprocessing, PIV algorithms can be applied to the treated PIV images. The fluid-only region velocities were measured using standard PIV method with window deformation, and the free surface velocities were resolved using PIV/interface gradiometry method. The velocity field in the original PIV images was constructed by inverse transforming that in the transformed images. The accuracy of the proposed method was quantitatively evaluated with two sets of synthetic PIV images, and its applicability was examined by applying the present method to free surface flow images, specifically sloshing flow images.

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
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  • Adrian RJ (1984) Scattering particle characteristics and their effect on pulsed laser measurements of fluid flow: speckle velocimetry vs particle image velocimetry. Appl Opt 23:1690–1691

    Article  Google Scholar 

  • Akyildiz H, Unal E (2005) Experimental investigation of pressure distribution on a rectangular tank due to the liquid sloshing. Ocean Eng 32:1503–1516

    Article  Google Scholar 

  • André MA, Bardet PM (2014) Velocity field, surface profile and curvature resolution of steep and short free-surface waves. Exp Fluids 55:1709

    Article  Google Scholar 

  • Cruchaga MA, Reinoso RS, Storti MA, Celentano DJ, Tezduyar TE (2013) Finite element computation and experimental validation of sloshing in rectangular tanks. Comput Mech 52:1301–1312

    Article  MATH  Google Scholar 

  • Eswaran M, Singh A, Saha UK (2011) Experimental measurement of the surface velocity field in an externally induced sloshing tank. Proc Inst Mech Eng Part M J Eng Mariti Environ 225:133–148

    Google Scholar 

  • Faltinsen OM (1978) A numerical nonlinear method of sloshing in tanks with two-dimensional flow. J Ship Res 22

  • Faltinsen OM, Timokha AN (2009) Sloshing. Cambridge University Press, Cambridge

    Google Scholar 

  • Faltinsen OM, Rognebakke OF, Lukovsky IA, Timokha AN (2000) Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. J Fluid Mech 407:201–234

    Article  MATH  MathSciNet  Google Scholar 

  • Faltinsen OM, Rognebakke OF, Timokha AN (2006) Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base tank with a finite fluid depth. Phys Fluids 18:012103

    Article  MathSciNet  Google Scholar 

  • Hart DP (2000) PIV error correction. Exp Fluids 29:13–22

    Article  Google Scholar 

  • Hazuku T, Takamasa T, Okamoto K (2003) Simultaneous measuring system for free surface and liquid velocity distributions using PIV and LFD. Exp Thermal Fluid Sci 27:677–684

    Article  Google Scholar 

  • Huang H, Dabiri D, Gharib M (1997) On errors of digital particle image velocimetry. Meas Sci Technol 8:1427–1440

    Article  Google Scholar 

  • Jeon YJ, Sung HJ (2011) PIV measurement of flow around an arbitrarily moving body. Exp Fluids 50:787–798

    Article  Google Scholar 

  • Ji YM, Shin YS, Park JS, Hyun JM (2012) Experiments on non-resonant sloshing in a rectangular tank with large amplitude lateral oscillation. Ocean Eng 50:10–22

    Article  Google Scholar 

  • Kim BJ, Sung HJ (2006) A further assessment of interpolation schemes for window deformation in PIV. Exp Fluids 41:499–511

    Article  Google Scholar 

  • La Rocca M, Sciortino G, Adduce C, Boniforti MA (2005) Experimental and theoretical investigation on the sloshing of a two-liquid system with free surface. Phys Fluids 17:062101

    Article  Google Scholar 

  • Li FC, Kawaguchi Y, Segawa T, Suga K (2005) Simultaneous measurement of turbulent velocity field and surface wave amplitude in the initial stage of an open-channel flow by PIV. Exp Fluids 39:945–953

    Article  Google Scholar 

  • Li FC, Dong Y, Kawaguchi Y, Oshima M (2008) Experimental study on swirling flow of dilute surfactant solution with deformed free-surface. Exp Thermal Fluid Sci 33:161–168

    Article  Google Scholar 

  • Malik J, Belongie S, Leung T, Shi JB (2001) Contour and texture analysis for image segmentation. Int J Comput Vision 43:7–27

    Article  MATH  Google Scholar 

  • Nezu I, Sanjou M (2011) PIV and PTV measurements in hydro-sciences with focus on turbulent open-channel flows. J Hydro Environ Res 5:215–230

    Article  Google Scholar 

  • Nguyen CV, Wells JC (2006) Direct measurement of fluid velocity gradients at a wall by PIV image processing with stereo reconstruction. J Vis 9:199–208

    Article  Google Scholar 

  • Nguyen CV, Nguyen TD, Wells JC, Nakayama A (2010) Interfacial PIV to resolve flows in the vicinity of curved surfaces. Exp Fluids 48:577–587

    Article  Google Scholar 

  • Pal P, Bhattacharyya SK (2010) Sloshing in partially filled liquid containers—numerical and experimental study for 2-D problems. J Sound Vib 329:4466–4485

    Article  Google Scholar 

  • Roth GI, Katz J (2001) Five techniques for increasing the speed and accuracy of PIV interrogation. Meas Sci Technol 12:238–245

    Article  Google Scholar 

  • Sawada T, Kikura H, Tanahashi T (1999) Kinematic characteristics of magnetic fluid sloshing in a rectangular container subject to non-uniform magnetic fields. Exp Fluids 26:215–221

    Article  Google Scholar 

  • Sawada T, Ohira Y, Houda H (2002) Sloshing behavior of a magnetic fluid in a cylindrical container. Exp Fluids 32:197–203

    Article  Google Scholar 

  • Scarano F (2002) Iterative image deformation methods in PIV. Meas Sci Technol 13:R1–R19

    Article  Google Scholar 

  • Scarano F, Riethmuller ML (1999) Iterative multigrid approach in PIV image processing with discrete window offset. Exp Fluids 26:513–523

    Article  Google Scholar 

  • Siddiqui MHK, Loewen MR, Richardson C, Asher WE, Jessup AT (2001) Simultaneous particle image velocimetry and infrared imagery of microscale breaking waves. Phys Fluids 13:1891

    Article  Google Scholar 

  • Theunissen R, Scarano F, Riethmuller ML (2008) On improvement of PIV image interrogation near stationary interfaces. Exp Fluids 45:557–572

    Article  Google Scholar 

  • Westerweel J (1997) Fundamentals of digital particle image velocimetry. Meas Sci Technol 8:1379–1392

    Article  Google Scholar 

  • Westerweel J, Elsinga GE, Adrian RJ (2013) Particle image velocimetry for complex and turbulent flows. Annu Rev Fluid Mech 45(45):409–436

    Article  MathSciNet  Google Scholar 

  • Wu GX, Ma QW, Taylor RE (1998) Numerical simulation of sloshing waves in a 3D tank based on a finite element method. Appl Ocean Res 20:337–355

    Article  Google Scholar 

  • Zarruk GA (2005) Measurement of free surface deformation in PIV images. Meas Sci Technol 16:1970–1975

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the Creative Research Initiatives (No. 2014-001493) program of the National Research Foundation of Korea (MSIP).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hyung Jin Sung.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Park, J., Im, S., Sung, H.J. et al. PIV measurements of flow around an arbitrarily moving free surface. Exp Fluids 56, 56 (2015). https://doi.org/10.1007/s00348-015-1920-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-015-1920-z

Keywords

Navigation