Proper orthogonal decomposition of an axisymmetric turbulent wake behind a disk

A proper orthogonal decomposition (POD) study of the axisymmetric turbulent wake behind a disk has been performed using multipoint hot-wire data. The Reynolds number based on the free stream velocity and disk diameter was kept constant at 28 000. The investigated region spanned from 10 to 50 disk diameters downstream. The hot-wire data were obtained using two rakes: a seven wire fixed array and a six wire array azimuthally traversable to span the cross section of the flow in increments of 15°. The instantaneous streamwise velocity component data were Fourier transformed in time and decomposed in Fourier series in the azimuthal direction to form the kernel for the POD. For all downstream positions, two distinct peaks were found in the first eigenspectrum: one at azimuthal mode 2 at near zero frequency, and another at azimuthal mode 1 at a fixed Strouhal number (fd/U∞) of 0.126. Both peaks decrease in magnitude as the flow evolves downstream, but the peak at the Strouhal number 0.126 decreases more rapidly ...

[1]  J. B. Roberts Coherence Measurements in an Axisymmetric Wake , 1973 .

[2]  Jan Dušek,et al.  Breaking of axisymmetry and onset of unsteadiness in the wake of a sphere , 2000, Journal of Fluid Mechanics.

[3]  Roger E. A. Arndt,et al.  Advances in Turbulence , 1988, Lecture Notes in Mechanical Engineering.

[4]  Peter A. Monkewitz,et al.  A note on vortex shedding from axisymmetric bluff bodies , 1988, Journal of Fluid Mechanics.

[5]  William K. George,et al.  Some thoughts on similarity, the POD, and finite boundaries , 1999 .

[6]  Mark N. Glauser,et al.  Application of multipoint measurements for flow characterization , 1992 .

[7]  A. I. Sirviente,et al.  Experiments in the Turbulent Near Wake of an Axisymmetric Body , 1999 .

[8]  Mark N. Glauser,et al.  Orthogonal Decomposition of the Axisymmetric Jet Mixing Layer Including Azimuthal Dependence , 1987 .

[9]  M. Schumm,et al.  Coherent vortex structures in thewake of a sphere and a circular disk at rest and under forced vibrations , 1990 .

[10]  F. Champagne,et al.  Observations of large-scale structures in wakes behind axisymmetric bodies , 1993 .

[11]  S. Lee,et al.  An experimental investigation of the wake structure behind a disk , 1992 .

[12]  Tzong-Shyng Leu,et al.  On vortex shedding behind a circular disk , 1997 .

[13]  Coherent structures in coflowing jets and wakes , 1978 .

[14]  V. A. Krasil’nikov,et al.  Atmospheric turbulence and radio-wave propagation , 1962 .

[15]  John L. Lumley,et al.  Interpretation of Time Spectra Measured in High‐Intensity Shear Flows , 1965 .

[16]  William K. George,et al.  Reconstruction of the global velocity field in the axisymmetric mixing layer utilizing the proper orthogonal decomposition , 2000, Journal of Fluid Mechanics.

[17]  W. George,et al.  Application of a ''slice'' proper orthogonal decomposition to the far field of an axisymmetric turbulent jet , 2002 .

[18]  E. Achenbach,et al.  Vortex shedding from spheres , 1974, Journal of Fluid Mechanics.

[19]  A. Perry,et al.  The phase-averaged large-scale structures in three-dimensional turbulent wakes , 1981 .

[20]  H. V. Fuchs,et al.  Large-scale coherent structures in the wake of axisymmetric bodies , 1979, Journal of Fluid Mechanics.

[21]  L. Baldwin,et al.  Decay of Turbulence in Axisymmetric Wakes , 1966 .