Particle image velocimetry measurements of a backward-facing step flow

Abstract. Particle image velocimetry (PIV) measurements were carried out on a backward-facing step flow at a Reynolds number of Reh=U∞h/ν=4,660 (based on step height and freestream velocity). In-plane velocity, out-of-plane vorticity, Reynolds stress and turbulent kinetic energy production measurements in the x–y and x–z planes of the flow are presented. Proper orthogonal decomposition was performed on both the fluctuating velocity and vorticity fields of the x–y plane PIV data using the method of snapshots. Low-order representations of the instantaneous velocity fields were reconstructed using the velocity modes. These reconstructions provided insight into the contribution that the various length scales make to the spatial distribution of mean and turbulent flow quantities such as Reynolds stress and turbulent kinetic energy production. Large scales are found to contribute to the Reynolds stresses and turbulent kinetic energy production downstream of reattachment, while small scales contribute to the intense Reynolds stresses in the vicinity of reattachment.

[1]  Stanislav Gordeyev,et al.  Coherent structure in the turbulent planar jet. Part 1. Extraction of proper orthogonal decomposition eigenmodes and their self-similarity , 2000, Journal of Fluid Mechanics.

[2]  L. Sirovich Turbulence and the dynamics of coherent structures. I. Coherent structures , 1987 .

[3]  Fulvio Scarano,et al.  Pattern recognition analysis of the turbulent flow past a backward facing step , 1999 .

[4]  J. Soria An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique , 1996 .

[5]  Lawrence Sirovich,et al.  The use of the Karhunen-Loegve procedure for the calculation of linear Eigenfunctions , 1991 .

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

[7]  R. Adrian Particle-Imaging Techniques for Experimental Fluid Mechanics , 1991 .

[8]  H. E. Fiedler,et al.  A DPIV study of a starting flow downstream of a backward-facing step , 1997 .

[9]  M. S. Chong,et al.  Topology of flow patterns in vortex motions and turbulence , 1994 .

[10]  Marcel Lesieur,et al.  A numerical investigation of the coherent vortices in turbulence behind a backward-facing step , 1993, Journal of Fluid Mechanics.

[11]  Parviz Moin,et al.  Characteristic-eddy decomposition of turbulence in a channel , 1989, Journal of Fluid Mechanics.

[12]  S. K. Robinson,et al.  Coherent Motions in the Turbulent Boundary Layer , 1991 .

[13]  F. Browand,et al.  Vortex pairing : the mechanism of turbulent mixing-layer growth at moderate Reynolds number , 1974, Journal of Fluid Mechanics.

[14]  H. H. Fernholz,et al.  An experimental investigation of a turbulent shear flow with separation, reverse flow, and reattachment , 1986, Journal of Fluid Mechanics.

[15]  P. Holmes,et al.  Turbulence, Coherent Structures, Dynamical Systems and Symmetry , 1996 .

[16]  Peter N. Joubert,et al.  Low-Reynolds-number turbulent boundary layers , 1991, Journal of Fluid Mechanics.

[17]  M. S. Chong,et al.  Turbulence structures of wall-bounded shear flows found using DNS data , 1998, Journal of Fluid Mechanics.

[18]  Patrick D. Weidman,et al.  Large scales in the developing mixing layer , 1976, Journal of Fluid Mechanics.

[19]  H. E. Fiedler,et al.  The Application of Classical POD and Snapshot POD in a Turbulent Shear Layer with Periodic Structures , 1994 .

[20]  Ian Grant,et al.  Particle image velocimetry measurements of the separated flow behind a rearward facing step , 1992 .

[21]  P. Moin,et al.  Direct numerical simulation of turbulent flow over a backward-facing step , 1997, Journal of Fluid Mechanics.

[22]  Fulvio Scarano,et al.  Iterative multigrid approach in PIV image processing with discrete window offset , 1999 .

[23]  Peter Bradshaw,et al.  Turbulence structure of a reattaching mixing layer , 1981, Journal of Fluid Mechanics.

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

[25]  John Cater,et al.  High resolution multigrid cross-correlation digital PIV measurements of a turbulent starting jet using half frame image shift film recording , 1999 .

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

[27]  M. Glauser,et al.  The proper orthogonal decomposition of pressure fluctuations surrounding a turbulent jet , 1997, Journal of Fluid Mechanics.

[28]  Lawrence Sirovich,et al.  An eigenfunction analysis of axisymmetric jet flow , 1990 .

[29]  A. Roshko,et al.  On density effects and large structure in turbulent mixing layers , 1974, Journal of Fluid Mechanics.

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

[31]  Ioannis G. Kevrekidis,et al.  Alternative approaches to the Karhunen-Loève decomposition for model reduction and data analysis , 1996 .

[32]  J. Soria,et al.  Spatial evolution of the separated shear layer from a square leading-edge flat plate , 1993 .

[33]  John K. Eaton,et al.  A Review of Research on Subsonic Turbulent Flow Reattachment , 1981 .

[34]  R. Moser,et al.  The three-dimensional evolution of a plane mixing layer: the Kelvin–Helmholtz rollup , 1992, Journal of Fluid Mechanics.

[35]  Jean-Paul Bonnet,et al.  Examination of large-scale structures in a turbulent plane mixing layer. Part 1. Proper orthogonal decomposition , 1999, Journal of Fluid Mechanics.

[36]  A. Fouras,et al.  Accuracy of out-of-plane vorticity measurements using in-plane velocity vector field data , 1998 .

[37]  L. Sirovich,et al.  Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour , 1994, Journal of Fluid Mechanics.