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Models for turbulent plane Couette flow using the proper orthogonal decomposition
We model turbulent plane Couette flow (PCF) by expanding the velocity field as a sum of optimal modes calculated via the proper orthogonal decomposition from numerical data. Ordinary differential equa...
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Application of a "slice" proper orthogonal decomposition to the far field of an axisymmetric turbulent jet
Instantaneous measurements of the streamwise velocity component were obtained in the far field region of an axisymmetric turbulent jet at exit Reynolds numbers ranging from 40 000 to 84 700. The data ...

Proper orthogonal decomposition of an axisymmetric turbulent wake behind a disk

Phys. Fluids 14, 2508 (2002); doi:10.1063/1.1476301

Published 5 June 2002

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Peter B. V. Johansson and William K. George
Department of Thermo and Fluid Dynamics, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden

Scott H. Woodward
Department of Mechanical and Aerospace Engineering, University at Buffalo, Buffalo, New York 14260
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[infinity]) 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 than the one at near-zero frequency, leaving the latter to eventually dominate. Because of this evolution, the eigenvalues integrated over frequency show an azimuthal mode-1 dominance at x/D = 10 and a mode-2 dominance by x/D = 50. The results are compared to those recently obtained in the axisymmetric far jet, and the results of previous wake investigations. ©2002 American Institute of Physics.
History: Received 24 September 2001; accepted 14 March 2002; published 5 June 2002
Permalink: http://link.aip.org/link/?PHFLE6/14/2508/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.27.Vf
    Fluid dynamics Turbulent flows, convection, and heat transfer Wakes
  • YEAR: 2002

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ISSN:
1070-6631 (print)   1089-7666 (online)
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REFERENCES (25)
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