Planar velocity measurements in a weakly compressible mixing layer

High-vector-density planar velocity fields were obtained for a weakly compressible mixing layer using particle image velocimetry (PIV). The velocity ratio of the mixing layer was 0.53, the density ratio was 0.67, and the convective Mach number was 0.38. At the location where the PIV images were obtained, $\Re_x\,{=}\,3.7\,{\times}\,10^{6}$ and $\Re_{\delta_\omega}\,{=}\,1.8\,{\times}\,10^{5}$. The instantaneous planar velocity fields fall into three regimes characterized by the size and number of large-scale structures present. The large-scale rollers are either circular or elliptical, with the elliptical rollers having, in general, horizontal major axes. The transverse velocity fluctuations and Reynolds shear stress are suppressed for the weakly compressible mixing-layer as compared to the incompressible case. The spatial correlations of velocity fluctuations also occupy a smaller fraction of the mixing-layer thickness than for an incompressible mixing layer. The linear stochastic estimate of a roller structure is elliptical with the major axis oriented in the streamwise direction and with an eccentricity greater than for the incompressible case. The linear stochastic estimate of a braid suggests that the braids are vertically oriented, as opposed to the oblique orientation seen in incompressible mixing layers. In addition, the braids in the weakly compressible case have a vertically oriented stagnation line, as opposed to the braids in the incompressible mixing layer where stagnation occurs at a point.

[1]  J. Dutton,et al.  Experimental and analytical investigations of supersonic mixing layers , 1988 .

[2]  Dimitri Papamoschou,et al.  STRUCTURE OF THE COMPRESSIBLE TURBULENT SHEAR LAYER , 1989 .

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

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

[5]  Noel T. Clemens,et al.  Two- and three-dimensional effects in the supersonic mixing layer , 1990 .

[6]  J. C. Dutton,et al.  Characteristic features of large structures in compressible mixing layers , 1996 .

[7]  S. Ragab,et al.  Linear Instability Waves in Supersonic Turbulent Mixing Layers , 1987 .

[8]  Nagi N. Mansour,et al.  The structure of the compressible reacting mixing layer: Insights from linear stability analysis , 1998 .

[9]  Jonathan B. Freund,et al.  Compressibility effects in a turbulent annular mixing layer. Part 1. Turbulence and growth rate , 1997, Journal of Fluid Mechanics.

[10]  D. W. Bogdanoff,et al.  Compressibility Effects in Turbulent Shear Layers , 1983 .

[11]  Ronald Adrian,et al.  Measurement and Refinement of Velocity Data Using High Image Density Analysis in Particle Image Velocimetry , 1989 .

[12]  D. Bogdanoff Interferometric measurement of heterogeneous shear-layer spreading rates , 1984 .

[13]  Neil D. Sandham,et al.  Three-dimensional simulations of large eddies in the compressible mixing layer , 1991, Journal of Fluid Mechanics.

[14]  Gregory S Elliott,et al.  Study of compressible mixing layers using filtered Rayleigh scattering based visualizations , 1992 .

[15]  F. Browand,et al.  Growth of the two‐dimensional mixing layer from a turbulent and nonturbulent boundary layer , 1979 .

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

[17]  E. Loth,et al.  High-speed cinematography of compressible mixing layers , 1994 .

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

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

[20]  Neil D. Sandham,et al.  Compressible mixing layer - Linear theory and direct simulation , 1989 .

[21]  Thomas L. Jackson,et al.  Inviscid spatial stability of a three-dimensional compressible mixing layer , 1991, Journal of Fluid Mechanics.

[22]  J. Dutton,et al.  Stochastic estimation of large structures in an incompressible mixing layer , 2002 .

[23]  A. T. Tung Properties of conditional eddies in free shear flows , 1982 .

[24]  S. Goebel,et al.  EXPERIMENTAL STUDY OF COMPRESSIBLE TURBULENT MIXING LAYERS , 1991 .

[25]  S. Menon,et al.  Unsteady simulations of compressible spatial mixing layers , 1998 .

[26]  Toshi Kubota,et al.  Investigation of Supersonic Turbulent Mixing Layer with Zero Pressure Gradient , 1975 .

[27]  Shigeya Watanabe,et al.  Velocity field of the planar shear layer - Compressibility effects , 1998 .

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

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

[30]  Goro Masuya,et al.  Spreading of two-stream supersonic turbulent mixing layers , 1986 .

[31]  Yassin A. Hassan,et al.  Approximation of turbulent conditional averages by stochastic estimation , 1989 .

[32]  Gregory S Elliott,et al.  Compressibility effects in free shear layers , 1990 .

[33]  Mo Samimy,et al.  Effects of compressibility on the characteristics of free shear layers , 1990 .