Eulerian and Lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV

Coherent structures and their time evolution in the logarithmic region of a turbulent boundary layer investigated by means of 3D space–time correlations and time-dependent conditional averaging techniques are the focuses of the present paper. Experiments have been performed in the water tunnel at TU Delft measuring the particle motion within a volume of a turbulent boundary layer flow along a flat plate at a free-stream velocity of 0.53 m/s at Reθ = 2,460 based on momentum thickness by using time-resolved tomographic particle image velocimetry (PIV) at 1 kHz sampling rate and particle tracking velocimetry (PTV). The obtained data enable an investigation into the flow structures in a 3D Eulerian reference frame within time durations corresponding to 28 δ/U. An analysis of the time evolution of conditional averages of vorticity components representing inclined hairpin-like legs and of Q2- and Q4-events has been performed, which gives evidence to rethink the early stages of the classical hairpin development model for high Reynolds number TBLs. Furthermore, a PTV algorithm has been applied on the time sequences of reconstructed 3D particle image distributions identifying thousands of particle trajectories that enable the calculation of probability distributions of the three components of Lagrangian accelerations.

[1]  Fulvio Scarano,et al.  Investigation of the Three-Dimensional Coherent Structures in a Turbulent Boundary Layer with Tomographic-PIV , 2007 .

[2]  Kees Joost Batenburg,et al.  Motion tracking-enhanced MART for tomographic PIV , 2010 .

[3]  Andreas Schröder,et al.  Investigation of a turbulent spot and a tripped turbulent boundary layer flow using time-resolved tomographic PIV , 2008 .

[4]  F. Hussain,et al.  Genesis and dynamics of coherent structures in near-wall turbulence: a new look , 1997 .

[5]  Ivan Marusic,et al.  Simultaneous orthogonal-plane particle image velocimetry measurements in a turbulent boundary layer , 2006, Journal of Fluid Mechanics.

[6]  D. Dennis,et al.  On the limitations of Taylor's hypothesis in constructing long structures in a turbulent boundary layer , 2008, Journal of Fluid Mechanics.

[7]  Ronald J. Adrian,et al.  Statistical evidence of hairpin vortex packets in wall turbulence , 2001, Journal of Fluid Mechanics.

[8]  G. Elsinga,et al.  Tomographic particle image velocimetry and its application to turbulent boundary layers , 2008 .

[9]  Jerry Westerweel,et al.  Tomographic-PIV measurement of the flow around a zigzag boundary layer trip , 2012 .

[10]  Ellen K. Longmire,et al.  Assessment of dual plane PIV measurements in wall turbulence using DNS data , 2006 .

[11]  J. H. Kaspersen,et al.  Convection velocities in a turbulent boundary layer , 1998 .

[12]  Julio Soria,et al.  Stereoscopic PIV measurements of a turbulent boundary layer with a large spatial dynamic range , 2008 .

[13]  S. K. Robinson,et al.  The kinematics of turbulent boundary layer structure , 1991 .

[14]  J. Kompenhans,et al.  Investigation of a turbulent spot using , 2002 .

[15]  Ivan Marusic,et al.  Evolution and lifetimes of flow topology in a turbulent boundary layer , 2010 .

[16]  Changhoon Lee,et al.  Intermittent nature of acceleration in near wall turbulence. , 2004, Physical review letters.

[17]  Ivan Marusic,et al.  Evidence of very long meandering features in the logarithmic region of turbulent boundary layers , 2007, Journal of Fluid Mechanics.

[18]  Andreas Schröder,et al.  Untersuchung der Strukturen von künstlich angeregten transitionellen Plattengrenzschichtströmungen mit Hilfe der Stereo und Multiplane Particle Image Velocimetry , 2001 .

[19]  P. Spalart Direct simulation of a turbulent boundary layer up to Rθ = 1410 , 1988, Journal of Fluid Mechanics.

[20]  Changhoon Lee,et al.  Lagrangian statistics in turbulent channel flow , 2004 .

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

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

[23]  I. Marusic,et al.  On the different contributions of coherent structures to the spectra of a turbulent round jet and a turbulent boundary layer , 2001, Journal of Fluid Mechanics.

[24]  The spatial relationships between dissipation and production rates and vortical structures in turbulent boundary and mixing layers , 2007 .

[25]  Javier Jiménez,et al.  Self-similar vortex clusters in the turbulent logarithmic region , 2006, Journal of Fluid Mechanics.

[26]  Fulvio Scarano,et al.  On the velocity of ghost particles and the bias errors in Tomographic-PIV , 2011 .

[27]  T. Dracos,et al.  3D PTV and its application on Lagrangian motion , 1997 .

[28]  Lagrangian statistics in fully developed turbulence , 2004, nlin/0402032.

[29]  Parviz Moin,et al.  Revisiting Taylor's hypothesis , 2009, Journal of Fluid Mechanics.

[30]  Ronald J. Adrian,et al.  Spanwise structure and scale growth in turbulent boundary layers , 2003, Journal of Fluid Mechanics.

[31]  J. Pinton,et al.  Experimental and numerical study of the Lagrangian dynamics of high Reynolds turbulence , 2004 .

[32]  J. Kompenhans,et al.  Investigation of a turbulent spot using multi-plane stereo particle image velocimetry , 2004 .

[33]  Y. Kaneda,et al.  Small-scale anisotropy in stably stratified turbulence , 2004 .

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

[35]  Pui-Kuen Yeung,et al.  LAGRANGIAN INVESTIGATIONS OF TURBULENCE , 2003 .

[36]  Yann Guezennec,et al.  Stochastic estimation of coherent structures in turbulent boundary layers , 1989 .

[37]  L. Perret,et al.  Vortical structures in the turbulent boundary layer: a possible route to a universal representation , 2008, Journal of Fluid Mechanics.

[38]  J. Delville,et al.  Full 3D correlation tensor computed from double field stereoscopic PIV in a high Reynolds number turbulent boundary layer , 2011 .

[39]  C. Meinhart Investigation of Turbulent Boundary Layer Structure Using Particle-Image Velocimetry. , 1994 .

[40]  Ronald J. Adrian,et al.  Hairpin vortex organization in wall turbulencea) , 2007 .

[41]  Jonathan Morrison,et al.  Eddy structure in turbulent boundary layers , 2000 .

[42]  Z. Warhaft,et al.  Lagrangian measurements of inertial particle accelerations in a turbulent boundary layer , 2008, Journal of Fluid Mechanics.

[43]  Beat Lüthi,et al.  Some aspects of strain, vorticity, and material element dynamics as measured with 3D particle tracking velocimetry in a turbulent flow , 2002 .

[44]  Fulvio Scarano,et al.  Three-dimensional vorticity patterns of cylinder wakes , 2009 .

[45]  A. Smits,et al.  Wall-bounded turbulent flows at high Reynolds numbers: Recent advances and key issues , 2010 .

[46]  Dan S. Henningson,et al.  Simulations of Spatially Evolving Turbulent Boundary Layers up to Reθ = 4300 , 2010 .

[47]  S. Grossmann The Spectrum of Turbulence , 2003 .

[48]  Javier J Im,et al.  Estimation of turbulent convection velocities and corrections to Taylor's approximation , 2009 .

[49]  Andreas Schröder,et al.  Investigation of a turbulent spot using time-resolved tomographic PIV , 2005 .

[50]  Kyongmin Yeo,et al.  On the near-wall characteristics of acceleration in turbulence , 2010, Journal of Fluid Mechanics.

[51]  F. Clauser The Turbulent Boundary Layer , 1956 .

[52]  C. Kähler,et al.  The significance of coherent flow structures for the turbulent mixing in wall-bounded flows , 2004 .

[53]  Bernhard Wieneke,et al.  Tomographic particle image velocimetry , 2006 .

[54]  Bernhard Wieneke,et al.  Volume self-calibration for 3D particle image velocimetry , 2008 .