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Optimization procedure for pulse separation in cross-correlation PIV


In PIV, the optimal time separation (Δt) between successive laser pulses is influenced by a number of parameters. In the present paper, only two kinds of error affecting the choice of Δt are studied: (i) random error arising from noise during recording of the flow seeded with tracer particles and subsequent interrogation of the particle images, and (ii) acceleration error arising from approximation of the local Eulerian velocity based on small (but non-zero) particle displacements. These two kinds of error place conflicting requirements on Δt. A model to optimize Δt with respect to these errors is described, and the model is confirmed by the results of a Monte Carlo simulation. This model for optimal Δt is extended to various acceleration distributions. An estimate for the spatial resolution of the velocity field resulting from cross-correlation PIV is proposed.

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  1. Adrian RJ (1991) Particle-imaging techniques for experimental fluid mechanics. Ann Rev Fluid Mech 23: 261–304

  2. Balachandar S; Sirovich L (1991) Probability distribution functions in turbulent convection. Phys Fluids A 3: 919–927

  3. Castaing B; Gunaratne G; Heslot F; Kadanoff L; Libchaber A; Thomae S; Wu XZ; Zaleski S; Zanetti G (1989) Scaling of hard thermal turbulence in Rayleigh-Bénard convection. J Fluid Mech 204: 1–30

  4. Guezennec YG; Kiritsis N (1990) Statistical investigation of error in particle image velocimetry. Exp Fluids 10: 138–146

  5. Keane RD; Adrian RJ (1990) Optimization of particle image velocimeters. Part I: double-pulsed systems. Meas Sci Technol 1: 1202–1215

  6. Keane RD; Adrian RJ (1992) Theory of cross-correlation analysis of PIV images. Applied Sci Res. 49: 191–215

  7. Keane RD; Adrian RJ (1993) Prospect for super-resolution with particle image velocimetry. In: Optical Diagnostics in Fluid and Thermal Flow Proc. SPIE 2005, 283–293. Ed.: Soyoung S. Cha, James D. Trolinger

  8. Lourenco L; Krothapalli A (1995) On the accuracy of velocity and vorticity measurements with PIV. Exp Fluids 18: 421–428

  9. Prasad AK; Adrian RJ (1993) Stereoscopic particle image velocimetry applied to liquid flows. Exp Fluids 15: 49–60

  10. Prasad AK; Adrian RJ; Landreth CC; Offutt PW (1992) Effect of resolution on the speed and accuracy of particle image velocity interrogation. Exp Fluids 13: 105–116

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Correspondence to A. K. Prasad.

Additional information

We wish to thank the University of Delaware and the Department of Mechanical Engineering for providing a graduate fellowship to support this work.

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Boillot, A., Prasad, A.K. Optimization procedure for pulse separation in cross-correlation PIV. Experiments in Fluids 21, 87–93 (1996).

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  • Laser Pulse
  • Monte Carlo Simulation
  • Velocity Field
  • Optimal Time
  • Optimization Procedure