Assessment of dual plane PIV measurements in wall turbulence using DNS data

Experimental dual plane particle image velocimetry (PIV) data are assessed using direct numerical simulation (DNS) data of a similar flow with the aim of studying the effect of averaging within the interrogation window. The primary reason for the use of dual plane PIV is that the entire velocity gradient tensor and hence the full vorticity vector can be obtained. One limitation of PIV is the limit on dynamic range, while DNS is typically limited by the Reynolds number of the flow. In this study, the DNS data are resolved more finely than the PIV data, and an averaging scheme is implemented on the DNS data of similar Reynolds number to compare the effects of averaging inherent to the present PIV technique. The effects of averaging on the RMS values of the velocity and vorticity are analyzed in order to estimate the percentage of turbulence intensity and enstrophy captured for a given PIV resolution in turbulent boundary layers. The focus is also to identify vortex core angle distributions, for which the two-dimensional and three-dimensional swirl strengths are used. The studies are performed in the logarithmic region of a turbulent boundary layer at z+ = 110 from the wall. The dual plane PIV data are measured in a zero pressure gradient flow over a flat plate at Reτ = 1,160, while the DNS data are extracted from a channel flow at Reτ = 934. Representative plots at various wall-normal locations for the RMS values of velocity and vorticity indicate the attenuation of the variance with increasing filter size. Further, the effect of averaging on the vortex core angle statistics is negligible when compared with the raw DNS data. These results indicate that the present PIV technique is an accurate and reliable method for the purposes of statistical analysis and identification of vortex structures.

[1]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[2]  Carl D. Meinhart,et al.  Second-order accurate particle image velocimetry , 2001 .

[3]  Ellen K. Longmire,et al.  Dual-plane PIV technique to determine the complete velocity gradient tensor in a turbulent boundary layer , 2005 .

[4]  H. Thomann,et al.  Quadruple hot-wire probes in a simulated wall flow , 1993 .

[5]  Ellen K. Longmire,et al.  Experimental investigation of vortex properties in a turbulent boundary layer , 2006 .

[6]  Ellen K. Longmire,et al.  Characteristics of vortex packets in turbulent boundary layers , 2003, Journal of Fluid Mechanics.

[7]  Z. C. Liu,et al.  Analysis and interpretation of instantaneous turbulent velocity fields , 2000 .

[8]  Carl D. Meinhart,et al.  Vortex organization in the outer region of the turbulent boundary layer , 2000, Journal of Fluid Mechanics.

[9]  Ivan Marusic,et al.  On the role of large-scale structures in wall turbulence , 2001 .

[10]  Parviz Moin,et al.  Contributions of numerical simulation data bases to the physics, modeling and measurement of turbulence , 1987 .

[11]  A. Perry,et al.  A wall-wake model for the turbulence structure of boundary layers. Part 2. Further experimental support , 1995, Journal of Fluid Mechanics.

[12]  Ellen K. Longmire,et al.  Investigation of large-scale coherence in a turbulent boundary layer using two-point correlations , 2005, Journal of Fluid Mechanics.

[13]  Peter Bradshaw,et al.  Spatial resolution and measurement of turbulence in the viscous sublayer using subminiature hot-wire probes , 1987 .

[14]  Nobuhide Kasagi,et al.  Evaluation of hot-wire measurements in wall shear turbulence using a direct numerical simulation database , 1992 .

[15]  Ivan Marusic,et al.  A wall-wake model for the turbulence structure of boundary layers. Part 1. Extension of the attached eddy hypothesis , 1995, Journal of Fluid Mechanics.

[16]  Javier Jiménez,et al.  Scaling of the energy spectra of turbulent channels , 2003, Journal of Fluid Mechanics.

[17]  Bharathram Ganapathisubramani Investigation of turbulent boundary layer structure using stereoscopic particle image velocimetry , 2004 .

[18]  Markus Raffel,et al.  Particle Image Velocimetry: A Practical Guide , 2002 .

[19]  P. Moin,et al.  DIRECT NUMERICAL SIMULATION: A Tool in Turbulence Research , 1998 .

[20]  Javier Jiménez,et al.  Scaling of the velocity fluctuations in turbulent channels up to Reτ=2003 , 2006 .

[21]  S. Balachandar,et al.  Mechanisms for generating coherent packets of hairpin vortices in channel flow , 1999, Journal of Fluid Mechanics.

[22]  Christian J. Kähler,et al.  Investigation of the spatio-temporal flow structure in the buffer region of a turbulent boundary layer by means of multiplane stereo PIV , 2004 .