Planar velocity measurements of a two-dimensional compressible wake

The present study describes the application of particle image velocimetry (PIV) to investigate the compressible flow in the wake of a two-dimensional blunt base at a freestream Mach number M∞=2. The first part of the study addresses specific issues related to the application of PIV to supersonic wind tunnel flows, such as the seeding particle flow-tracing fidelity and the measurement spatial resolution. The seeding particle response is assessed through a planar oblique shock wave experiment. The measurement spatial resolution is enhanced by means of an advanced image-interrogation algorithm. In the second part, the experimental results are presented. The PIV measurements yield the spatial distribution of mean velocity and turbulence. The mean velocity distribution clearly reveals the main flow features such as expansion fans, separated shear layers, flow recirculation, reattachment, recompression and wake development. The turbulence distribution shows the growth of turbulent fluctuations in the separated shear layers up to the reattachment location. Increased velocity fluctuations are also present downstream of reattachment outside of the wake due to unsteady flow reattachment and recompression. The instantaneous velocity field is analyzed seeking coherent flow structures in the redeveloping wake. The instantaneous planar velocity and vorticity measurements return evidence of large-scale turbulent structures detected as spatially coherent vorticity fluctuations. The velocity pattern consistently shows large masses of fluid in vortical motion. The overall instantaneous wake flow is organized as a double row of counter-rotating structures. The single structures show vorticity contours of roughly elliptical shape in agreement with previous studies based on spatial correlation of planar light scattering. Peak vorticity is found to be five times higher than the mean vorticity value, suggesting that wake turbulence is dominated by the activity of large-scale structures. The unsteady behavior of the reattachment phenomenon is studied. Based on the instantaneous flow topology, the reattachment is observed to fluctuate mostly in the streamwise direction suggesting that the unsteady separation is dominated by a pumping-like motion.

[1]  A. Prasad Particle image velocimetry , 2000 .

[2]  Effect of a rapid expansion on the development of compressible free shear layers , 1994 .

[3]  G. B. Whitham,et al.  Fundamentals of Gas Dynamics, edited by H. W. EMMONS (Volume Princeton I11 of High Speed Aerodynamics and Jet Propulsion). University Press, 1958. 749 pp. $20.00. , 1958, Journal of Fluid Mechanics.

[4]  F. Scarano Iterative image deformation methods in PIV , 2002 .

[5]  Mo Samimy,et al.  Review of Planar Multiple-Component Velocimetry in High-Speed Flows , 2000 .

[6]  Ronald Adrian,et al.  Optimization of particle image velocimeters , 1990, Other Conferences.

[7]  G. Tedeschi,et al.  Motion of tracer particles in supersonic flows , 1999 .

[8]  A. L. Addy,et al.  Two-stream, supersonic, wake flowfield behind a thick base. I - General features , 1992 .

[9]  A. Melling Tracer particles and seeding for particle image velocimetry , 1997 .

[10]  S. Lele,et al.  Motion of particles with inertia in a compressible free shear layer , 1991 .

[11]  J. C. Dutton,et al.  THE TURBULENCE STRUCTURE OF A REATTACHING AXISYMMETRIC COMPRESSIBLE FREE SHEAR LAYER , 1997 .

[12]  Mark P. Wernet DIGITAL PIV MEASUREMENTS IN THE DIFFUSER OF A HIGH SPEED CENTRIFUGAL COMPRESSOR , 1998 .

[13]  J. Dutton,et al.  A procedure for turbulent structure convection velocity measurements using time-correlated images , 1999 .

[14]  J. C. Dutton,et al.  Investigation of Large-Scale Structures in Supersonic Planar Base Flows , 1996 .

[15]  Mark F. Reeder,et al.  Compressibility effects on large structures in free shear flows , 1992 .

[16]  A. K. Oppenheim,et al.  Fundamentals of Gas Dynamics , 1964 .

[17]  Noel T. Clemens,et al.  Large-scale structure and entrainment in the supersonic mixing layer , 1995, Journal of Fluid Mechanics.

[18]  Gregory S Elliott,et al.  The characteristics and evolution of large‐scale structures in compressible mixing layers , 1995 .

[19]  N. Clemens,et al.  PLIF imaging of mean temperature and pressure in a supersonic bluff wake , 1998 .

[20]  M. G. Mungal,et al.  Planar velocity measurements in compressible mixing layers , 1997 .

[21]  Richard D. Keane,et al.  Optimization of particle image velocimeters. I, Double pulsed systems , 1990 .

[22]  Fulvio Scarano,et al.  Advances in iterative multigrid PIV image processing , 2000 .

[23]  A. Melling,et al.  Seeding gas flows for laser anemometry , 1986 .

[24]  A. Hussain,et al.  Coherent structures and turbulence , 1986, Journal of Fluid Mechanics.

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

[26]  M. Samimy,et al.  Two-component planar Doppler velocimetry in the compressible turbulent boundary layer , 1998 .

[27]  A. Roshko,et al.  The compressible turbulent shear layer: an experimental study , 1988, Journal of Fluid Mechanics.

[28]  J. C. Dutton,et al.  Supersonic Base Flow Experiments in the Near Wake of a Cylindrical Afterbody , 1993 .

[29]  L. Lourenço Particle Image Velocimetry , 1989 .

[30]  A. L. Addy,et al.  Interaction between two compressible, turbulent free shear layers , 1986 .

[31]  Noel T. Clemens,et al.  A planar Mie scattering technique for visualizing supersonic mixing flows , 1991 .

[32]  J Craig Dutton,et al.  PLANAR VISUALIZATIONS OF LARGE-SCALE TURBULENT STRUCTURES IN AXISYMMETRIC SUPERSONIC SEPARATED FLOWS , 1999 .

[33]  J. Westerweel Fundamentals of digital particle image velocimetry , 1997 .

[34]  M. Samimy,et al.  Compressible separated flows , 1986 .

[35]  Nicholas J. Lawson,et al.  The application of particle image velocimetry to high speed flows , 1995 .