# Long-range μPIV to resolve the small scales in a jet at high Reynolds number

Long-range μPIV to resolve the small scales in a jet at high Reynolds number The investigation of flows at high Reynolds number is of great interest for the theory of turbulence, in that the large and the small scales of turbulence show a clear separation. But, as the Reynolds number of the flow increases, the size of the Kolmogorov length scale ( $$\eta$$ η ) drops almost proportionally. Aiming at achieving the adequate spatial resolution in the central region of a self-similar round jet at high Reynolds numbers ( $$Re_\lambda \approx 350$$ R e λ ≈ 350 ), a long-range μPIV system was applied. A vector spacing of $$1.5 \eta$$ 1.5 η was achieved, where the Kolmogorov length scale was estimated to be $$55\,\upmu {\rm m}$$ 55 μ m . The resulting velocity fields were used to characterize the small-scale flow structures in this jet. The autocorrelation maps of vorticity and $$\lambda _{\rm ci}$$ λ ci (the imaginary part of the eigenvalue of the reduced velocity gradient tensor) reveal that the structures of intense vorticity have a characteristic diameter of approximately $$10 \eta$$ 10 η . From the autocorrelation map of the reduced (2D) rate of dissipation, it is inferred that the regions of intense dissipation tend to organize in the form of sheets with a characteristic thickness of approximately $$10 \eta$$ 10 η . The regions of intense dissipation have the tendency to appear in the vicinity of intense vortices. Furthermore, the joint pdf of the two invariants of the reduced velocity gradient tensor exhibits the characteristic teapot-shape. These results, based on a statistical analysis of the data, are in agreement with previous numerical and experimental studies at lower Reynolds number, which validates the suitability of long-range μPIV for characterizing turbulent flow structures at high Reynolds number. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Experiments in Fluids Springer Journals

# Long-range μPIV to resolve the small scales in a jet at high Reynolds number

, Volume 55 (9) – Aug 28, 2014
15 pages

1

/lp/springer_journal/long-range-piv-to-resolve-the-small-scales-in-a-jet-at-high-reynolds-g591ORFD6i
Publisher
Springer Berlin Heidelberg
Subject
Engineering; Engineering Fluid Dynamics; Fluid- and Aerodynamics; Engineering Thermodynamics, Heat and Mass Transfer
ISSN
0723-4864
eISSN
1432-1114
D.O.I.
10.1007/s00348-014-1812-7
Publisher site
See Article on Publisher Site

### Abstract

The investigation of flows at high Reynolds number is of great interest for the theory of turbulence, in that the large and the small scales of turbulence show a clear separation. But, as the Reynolds number of the flow increases, the size of the Kolmogorov length scale ( $$\eta$$ η ) drops almost proportionally. Aiming at achieving the adequate spatial resolution in the central region of a self-similar round jet at high Reynolds numbers ( $$Re_\lambda \approx 350$$ R e λ ≈ 350 ), a long-range μPIV system was applied. A vector spacing of $$1.5 \eta$$ 1.5 η was achieved, where the Kolmogorov length scale was estimated to be $$55\,\upmu {\rm m}$$ 55 μ m . The resulting velocity fields were used to characterize the small-scale flow structures in this jet. The autocorrelation maps of vorticity and $$\lambda _{\rm ci}$$ λ ci (the imaginary part of the eigenvalue of the reduced velocity gradient tensor) reveal that the structures of intense vorticity have a characteristic diameter of approximately $$10 \eta$$ 10 η . From the autocorrelation map of the reduced (2D) rate of dissipation, it is inferred that the regions of intense dissipation tend to organize in the form of sheets with a characteristic thickness of approximately $$10 \eta$$ 10 η . The regions of intense dissipation have the tendency to appear in the vicinity of intense vortices. Furthermore, the joint pdf of the two invariants of the reduced velocity gradient tensor exhibits the characteristic teapot-shape. These results, based on a statistical analysis of the data, are in agreement with previous numerical and experimental studies at lower Reynolds number, which validates the suitability of long-range μPIV for characterizing turbulent flow structures at high Reynolds number.

### Journal

Experiments in FluidsSpringer Journals

Published: Aug 28, 2014

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