Abstract
The unsteady measurement of spatiotemporally varying flow structures in a low-speed wind tunnel using a continuous wave (CW) laser-based time-resolved particle image velocimetry (TR-PIV) setup was extensively evaluated in the near wake behind a circular cylinder. A CW laser with a maximum power of 25 W in combination with a high-speed camera operating at 7 kHz was used to determine the wake flows at two different free-stream flow speeds: U 0 = 5 and 10 m/s. Three different camera exposure times were selected for comparison: τ = 20, 50, and 80 μs. In the experiments, the low-repetition conventional PIV setup using the high-power pulsed laser (τ = 8 ns, 135 mJ/pulse) was used to determine the time-mean and statistical flow quantities, which served as the reference for determining the deviation in the TR-PIV measurements. At the lower flow speed of U 0 = 5 m/s, the time-mean-separated flow patterns and the streamwise velocity profiles in all of the TR-PIV systems showed satisfactory agreement with the conventional PIV measurements, along with accurate capture of the large-scale Karman vortex and its harmonic behaviors. At the higher flow speed of U 0 = 10 m/s, the measurement at τ = 50 μs gave a relatively accurate representation of the statistical flow quantities. At the longest exposure time of τ = 80 μs, considerable deviations in the time-mean streamwise fluctuation intensity and the TKE (turbulence kinetic energy) were observed due to the streaky particle image. The strong swirling motion of the large-scale vortical structures increased the deviation in the TR-PIV measurements, which increased with the increasing camera exposure time. Further POD analysis demonstrated that the leading energetic modes in the system with τ = 50 μs accurately determined the spatial features of the Karman-like vortex and its harmonic events. However, inaccurate vector representation of the second harmonic events was observed in the system with τ = 80 μs. Finally, for both flow speeds, the lower-order reconstructed phase-dependent representations of the Karman-like vortex and its harmonic behaviors were composed of the time-series velocity vector fields determined using the system with τ = 50 μs, thus providing a straightforward quantitative view of the coupled unsteady events.
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Abbreviations
- D :
-
Diameter (m)
- Re :
-
Reynolds number
- u :
-
Instantaneous streamwise velocity (m/s)
- \(U_{0}\) :
-
Free-stream velocity (m/s)
- \(\overline{u}\) :
-
Time-averaged streamwise velocity (m/s)
- \(u^{\prime }\) :
-
Fluctuating portion of the streamwise velocity (m/s)
- \(u_{\text{rms}}^{\prime }\) :
-
Root-mean square of the streamwise velocity fluctuations (m/s)
- x :
-
Streamwise coordinate (m)
- y :
-
Longitudinal coordinate (m)
- St :
-
Strouhal number
- a(t):
-
POD mode coefficient
- n :
-
Eigenmode number
- \(\tau\) :
-
Exposure time (s)
- \(\lambda_{n}\) :
-
POD eigenvalue
- \(\phi\) :
-
POD eigenfunction
- CMOS:
-
Complementary metal oxide semiconductor
- CW:
-
Continuous wave
- PIV:
-
Particle image velocimetry
- POD:
-
Proper orthogonal decomposition
- TKE:
-
Turbulence kinetic energy
- TR-PIV:
-
Time-resolved particle image velocimetry
References
Beresh S, Kearney S, Wagner J, Guildenbecher D, Henfling J, Spillers R, Pruett B, Jiang N, Slipchenko M, Mance J, Roy S (2015) Pulse-burst PIV in a high-speed wind tunnel. Meas Sci Technol 26:095305
Coletti F, Cresci I, Arts T (2013) Spatio-temporal analysis of the turbulent flow in a ribbed channel. Int J Heat Fluid Flow 44:181–196
Elzawawy A (2012) Time resolved particle image velocimetry techniques with continuous wave laser and their application to transient flows[M]. Dissertation, City University of New York
Gurka R, Liberzon A, Hetsroni G (2006) POD of vorticity fields: a method for spatial characterization of coherent structures. Int J Heat Fluid Flow 27(3):416–423
Hout RV (2011) Time-resolved PIV measurements of the interaction of polystyrene beads with near-wall-coherent structures in a turbulent channel flow. Int J Multiph Flow 37:346–357
Kim Y, Rockwell D, Liakopoulos A (2005) Vortex buffeting of aircraft tail: interpretation via proper orthogonal decomposition. AIAA J 43(3):550–559
Liu YZ, Shi LL, Zhang QS (2011) Proper orthogonal decomposition of wall-pressure fluctuations under the constrained wake of a square cylinder. Exp Therm Fluid Sci 35:1325–1333
Liu Y, Zhang Q, Wang S (2014) The identification of coherent structures using proper orthogonal decomposition and dynamic mode decomposition. J Fluids Struct 49:53–72
Sampath R, Chakravarthy SR (2014) Proper orthogonal and dynamic mode decompositions of time-resolved PIV of confined backward-facing step flow. Exp Fluids 55:1–16
Shi LL, Liu YZ, Yu J (2010) PIV measurement of separated flow over a blunt plate with different chord-to-thickness ratios. J Fluids Struct 26:644–657
Shinohara K, Sugii Y, Aota A, Hibara A, Tokeshi M, Kitamori T, Okamoto K (2004) High-speed micro-PIV measurements of transient flow in microfluidic devices. Meas Sci Technol 15(10):1965–1970
Sirovich L (1987) Turbulence and the dynamics of coherent structures. Q J Appl Math 45:561–590
Van Oudheusden BW, Scarano F, Van Hinsberg NP, Watt DW (2005) Phase-resolved characterization of vortex shedding in the near wake of a square-section cylinder at incidence. Exp Fluids 39(1):86–98
Wang S, Liu Y (2016) Wake dynamics behind a seal-vibrissa-shaped cylinder: a comparative study by time-resolved particle velocimetry measurements. Exp Fluids 57:1–20
Wang SF, Liu YZ, Zhang QS (2014) Measurement of flow around a cactus-analogue grooved cylinder at ReD = 5.4 × 104: wall-pressure fluctuations and flow pattern. J Fluids Struct 50:120–136
Willert CE (2015) High-speed particle image velocimetry for the efficient measurement of turbulence statistics. Exp Fluids 56(1):1–17
Zhang QS, Liu YZ (2012) Wall-pressure fluctuations of separated and reattaching flow over blunt plate with chord-to-thickness ratio c/d = 9.0. Exp Therm Fluid Sci 42:125–135
Acknowledgements
The authors gratefully acknowledge the financial support for this study from the National Natural Science Foundation of China (11372189), and the support from the “Shuguang Program” of the Shanghai Education Development Foundation and Shanghai Municipal Education Commission (Grant no. 12SG16).
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Wang, S., Chen, Y. & Liu, Y.Z. Measurement of unsteady flow structures in a low-speed wind tunnel using continuous wave laser-based TR-PIV: near wake behind a circular cylinder. J Vis 21, 73–93 (2018). https://doi.org/10.1007/s12650-017-0445-3
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DOI: https://doi.org/10.1007/s12650-017-0445-3