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2D spectral and turbulence length scale estimation with PIV

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Abstract

A new method to apply spatial two-dimensional power spectral density (2D PSD) analysis to the data measured with Particle Image Velocimetry (PIV) has been introduced. Applying the method to a set of the velocity vector fields characteristic turbulence length scales can be estimated. In this method the computation of 2D PSD has been performed to two kinds of pre-processed data. In the first set, the local average has been spatially subtracted (Spatial decomposition) and in the second set the time-average has been subtracted (Reynolds decomposition). In the computation of 2D PSD the 2D FFT with the variance scaling has been used.

Besides 2D spectral analysis this paper uses the distribution analysis of the various turbulence quantities and a structure analysis method to estimate the dimensions of coherent structures in the flow. Another method to analyse turbulence length scales is the estimation of the spatial 2D Auto Correlation Coefficient Function (2D ACCF). All these methods applied side by side to the PIV data increase the understanding of the turbulence, its scales and the nature of the coherent structures.

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References

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Author information

Correspondence to M. Piirto.

Additional information

Mika Piirto: He received his M.Sc. (Eng.) degree in Electrical Engineering in 1988 and his Licentiate of Technology degree 1991 (Digital Control) from Tampere University of Technology. Currently he is working as a research engineer in Energy and Process Engineering Laboratory. In the last few years his research interest has been in turbulence characterization with particle image velocimetry.

Heimo Ihalainen: He received his M.Sc. (Eng.) degree in Electrical Engineering in 1980 from Tampere University of Technology. Currently he is working as the laboratory manager of the Laboratory of Measurement and Information Technology in the same university. His research projects are in process signal analysis, multivariate analysis and measurement based on images.

Hannu Eloranta: He received his M.Sc. (Eng.) degree in Energy and Environmental Engineering in 2000 from Tampere University of Technology. Currently he is working as a Ph.D. student in the field of experimental fluid dynamics at the same university. His research work is focused on the structure of turbulence in plane and convergent channel flows.

Pentti Olavi Saarenrinne: He received his M.Sc. (Eng.) degree in Mechanical Engineering in 1976 and his Licentiate of Technology degree 1986 from Tampere University of Technology. He is working as Laboratory Manager in Energy and Process Engineering Laboratory. His research interest covers experimental fluid mechanics in internal flows (in industrial applications). He is acquainted in hot wire, laser Doppler and particle image velocimetry techniques.

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Piirto, M., Ihalainen, H., Eloranta, H. et al. 2D spectral and turbulence length scale estimation with PIV. J Vis 4, 39–49 (2001). https://doi.org/10.1007/BF03182454

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Keywords

  • PIV
  • turbulence
  • length scale
  • 2D spectral analysis
  • 2D
  • coherent structures