We present a simple method of obtaining the turbulence kinetic energy spectrum from spatially resolved particle image velocimetry (PIV) data without need of use of Taylor hypothesis of frozen turbulence. Additionally, this method allows us to extract the velocity field components related to individual length scales resolved in the spectrum. We convolute the measured PIV velocity field with a band-pass filter, i.e., a difference of two Gauss functions with different widths, and the energy content of a such product we relate to the relevant length-scale of the used band. This is a “kind of wavelet transformation”, which, in respect to Fourier transformation, gives a good physical meaning to individual components.

References

1.
Kolmogorov
,
A. N.
,
1991
, “
Dissipation of Energy in the Locally Isotropic Turbulence
,”
Proc. R. Soc. A
,
434
(
1890
), pp.
15
–.
2.
Richardson
,
L. F.
,
1926
, “
Atmospheric Diffusion Shown on a Distance-Neighbour Graph
,”
Proc. R. Soc. A
,
10
(
756
), pp. 709–737.
3.
Batchelor
,
G. K.
,
1982
,
The Theory of Homogeneous Turbulence
,
Cambridge University Press
,
New York
.
4.
Pope
,
S. B.
,
2000
,
Turbulent Flows
,
Cambridge University Press
,
Cambridge, UK
.
5.
Tropea
,
C.
,
Yarin
,
A.
, and
Foss
,
J. F.
,
2007
,
Springer Handbook of Experimental Fluid Mechanics
,
Springer
,
Berlin
.
6.
Jasikova
,
D.
,
Nemcova
,
L.
, and
Kopecky
,
V.
,
2014
, “
The Methodic for Study of Smart Surfaces Using PIV Technique
,”
AIP Conf. Proc.
,
1608
(
80
), pp.
80
87
.
7.
Jasikova
,
D.
,
Kotek
,
M.
, and
Kopecky
,
V.
,
2015
, “
Time Resolved PIV Measurement of Fluid Dynamics in Agitated Vessels
,”
Proc. SPIE
,
9442
, p. 94420H.
8.
Jiang
,
M. T.
,
Law
,
A. W.-K.
, and
Lai
,
A. C. H.
,
2018
, “
Turbulence Characteristics of 45 Inclined Dense Jets
,”
Environ. Fluid Mech.
,
19
(
1
), pp.
1
28
.
9.
Duda
,
D.
,
2018
, “
Preliminary PIV Study of an Air Jet
,”
AIP Conference Proc.
,
2047
(
1
), p.
020001
.
10.
Agrawal
,
A.
,
2005
, “
Measurement of Spectrum With Particle Image Velocimetry
,”
Exp. Fluids
,
39
(
5
), pp.
836
840
.
11.
Agrawal
,
A.
, and
Prasad
,
A.
,
2002
, “
Properties of Vortices in the Self-Similar Turbulent Jet
,”
Exp. Fluids
,
33
(
4
), pp.
565
577
.
12.
Duda
,
D.
, and
Uruba
,
V.
,
2018
, “
PIV of Air Flow Over a Step and Discussion of Fluctuation Decompositions
,”
AIP Conf. Proc.
,
2000
(
1
), p.
020005
.
13.
Duda
,
D.
,
2018
, “
Preliminary Report on Machine Vortex Identification in PIV Data (in Czech)
,”
32th Symposium on Anemometry, Litice, CZ
, May 29–30, pp.
7
13
.
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