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A correction method for measuring turbulence kinetic energy dissipation rate by PIV

Validated by random Oseen vortices synthetic image test

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Abstract

The accuracy of turbulent kinetic energy (TKE) dissipation rate measured by PIV is studied. The critical issue for PIV-based dissipation measurements is the strong dependency on the spatial resolution, Δx, as reported by Saarenrinne and Piirto (Exp Fluids Suppl:S300–S307, 2000). When the PIV spacing is larger than the Kolmogorov scale, η, the dissipation is underestimated because the small scale fluctuations are filtered. For the case of Δx smaller than the Kolmogorov scale, the error rapidly increases due to noise. We introduce a correction method to eliminate the dominant error for the small Δx case. The correction method is validated by using a novel PIV benchmark, random Oseen vortices synthetic image test (ROST), in which quasi-turbulence is generated by randomly superposing multiple Oseen vortices. The error of the measured dissipation can be more than 1,000% of the analytical dissipation for the small Δx case, while the dissipation rate is underestimated for the large Δx case. Though the correction method does not correct the underestimate due to the low resolution, the dissipation was accurately obtained within a few percent of the true value by using the correction method for the optimal resolution of η/10 < Δx < η/2.

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Acknowledgments

This research was supported by NASA grant NCC3-640.

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Authors and Affiliations

  1. Department Mechanical Engineering, Stanford University, 488 Escondido Mall, Bldg500 Rm501-M1, Stanford, CA, USA

    Tomohiko Tanaka

  2. Department Mechanical Engineering, Stanford University, 488 Escondido Mall, Bldg500 Rm501F, Stanford, CA, USA

    John K. Eaton

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  1. Tomohiko Tanaka
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  2. John K. Eaton
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Correspondence to Tomohiko Tanaka.

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Tanaka, T., Eaton, J.K. A correction method for measuring turbulence kinetic energy dissipation rate by PIV. Exp Fluids 42, 893–902 (2007). https://doi.org/10.1007/s00348-007-0298-y

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  • DOI: https://doi.org/10.1007/s00348-007-0298-y

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