The accuracy of tomographic particle image velocimetry for measurements of a turbulent boundary layer

Abstract

To investigate the accuracy of tomographic particle image velocimetry (Tomo-PIV) for turbulent boundary layer measurements, a series of synthetic image-based simulations and practical experiments are performed on a high Reynolds number turbulent boundary layer at Reθ = 7,800. Two different approaches to Tomo-PIV are examined using a full-volume slab measurement and a thin-volume “fat” light sheet approach. Tomographic reconstruction is performed using both the standard MART technique and the more efficient MLOS-SMART approach, showing a 10-time increase in processing speed. Random and bias errors are quantified under the influence of the near-wall velocity gradient, reconstruction method, ghost particles, seeding density and volume thickness, using synthetic images. Experimental Tomo-PIV results are compared with hot-wire measurements and errors are examined in terms of the measured mean and fluctuating profiles, probability density functions of the fluctuations, distributions of fluctuating divergence through the volume and velocity power spectra. Velocity gradients have a large effect on errors near the wall and also increase the errors associated with ghost particles, which convect at mean velocities through the volume thickness. Tomo-PIV provides accurate experimental measurements at low wave numbers; however, reconstruction introduces high noise levels that reduces the effective spatial resolution. A thinner volume is shown to provide a higher measurement accuracy at the expense of the measurement domain, albeit still at a lower effective spatial resolution than planar and Stereo-PIV.

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Acknowledgments

C. Atkinson was supported by an Eiffel Fellowship and an Australian Postgraduate Scholarship while undertaking this research. The support of the Australian Research Council is gratefully acknowledged. Experiments presented in this paper were carried out using the Grid’5000 experimental testbed, being developed under the INRIA ALADDIN development action with support from CNRS, RENATER and several Universities as well as other funding bodies (see https://www.grid5000.fr). This work was also supported by the ANR VIVE 3D and CISIT programs.

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Correspondence to Callum Atkinson.

Appendix

Appendix

See Tables 11 and 12.

Table 11 Average boundary layer velocity errors in reconstruction of a 180-pixel-thick volume, starting at the wall
Table 12 Average boundary layer velocity errors in reconstruction of a 70-pixel-thick volume, starting 55 pixels above the wall

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Atkinson, C., Coudert, S., Foucaut, JM. et al. The accuracy of tomographic particle image velocimetry for measurements of a turbulent boundary layer. Exp Fluids 50, 1031–1056 (2011). https://doi.org/10.1007/s00348-010-1004-z

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Keywords

  • Particle Image Velocimetry
  • Turbulent Boundary Layer
  • Seeding Density
  • Bias Error
  • Interrogation Window