Application of a "slice" proper orthogonal decomposition to the far field of an axisymmetric turbulent jet
Phys. Fluids 14, 2515 (2002); doi:10.1063/1.1471875
Published 5 June 2002
You are not logged in to this journal. Log in
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 were taken from 20 to 69 diameters downstream of the jet exit using 138 hot-wires. The proper orthogonal decomposition was applied to a double Fourier transform in time and azimuthal direction of the two-point velocity correlation tensor. The first eigenspectrum, which contains more than 60% of the kinetic energy, has two peaks: A dominant peak at azimuthal mode-2 at near zero frequency, and a secondary peak at mode-1 at a local Strouhal number (fx/Uc) of approximately 1. The most striking feature was the general behavior of the eigenspectra: when normalized to reflect the energy repartition per mode number only, they peaked at mode-2, and were independent of downstream position in the experiment considered. They were also similar in nature to those obtained in earlier experiments at x/D = 6, just past the end of the potential core, but distinctly different from those closer to the jet exit where mode-0 and higher modes dominated. ©2002 American Institute of Physics.
| History: | Received 24 September 2001; accepted 4 March 2002; published 5 June 2002 |
| Permalink: |
http://link.aip.org/link/?PHFLE6/14/2515/1 |
KEYWORDS and PACS
- 47.27.Wg
Fluid dynamics Turbulent flows, convection, and heat transfer Jets - 47.27.-i
Fluid dynamics Turbulent flows, convection, and heat transfer - 02.30.Nw
Mathematical methods in physics Function theory, analysis Fourier analysis - 02.30.Uu
Mathematical methods in physics Function theory, analysis Integral transforms - YEAR: 2002
RELATED DATABASES
PUBLICATION DATA
1070-6631 (print)
1089-7666 (online)
REFERENCES (36)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- S. C. Crow and F. H. Champagne, "Orderly structure in jet turbulence,"
J. Fluid Mech. 48, 547 (1971) . - G. L. Brown and A. Roshko, "On density effects and large structure in turbulent mixing layers."
J. Fluid Mech. 64, 775 (1974) . - B. J. Cantwell, "Organized motion in turbulent flows,"
Annu. Rev. Fluid Mech. 13, 457 (1981) . - A. K. M. F. Hussain, "Coherent structuresreality and myth," Phys. Fluids 26, 2816 (1983).
- J. L. Lumley, "The structure of inhomogeneous turbulent flows," in Atmospheric Turbulence and Radio Wave Propagation, edited by A. M. Yaglom and V. I. Tatarsky (Nauka, Moscow, USSR, 1967).
- M. N. Glauser, Ph.D. thesis, Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, 1987.
- M. N. Glauser and W. K. George, "Orthogonal decomposition of the axisymmetric jet mixing layer including azimuthal dependence," in Advances in Turbulence, edited by G. Comte-Bellot and J. Mathieu (Springer-Verlag, Berlin, 1987), pp. 357366.
- J. H. Citriniti and W. K. George, "Reconstruction of the global velocity field in the axisymmetric mixing layer utilizing the proper orthogonal decomposition,"
J. Fluid Mech. 418, 137 (2000) . - D. Jung, Ph.D. thesis, Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, 2001.
- D. Jung, S. Gamard, W. K. George, and S. H. Woodward, "Downstream evolution of the most energetic POD modes in the mixing layer of a high Reynolds number axisymmetric jet," in Turbulent Mixing and Combustion, edited by A. Pollard and S. Candel (Kluwer, Dordrecht, 2002), pp. 2332.
- L. S. Ukeiley, J. M. Seiner, and M. K. Ponton, "Azimuthal structure of an axisymmetric jet mixing layer," in ASME FEDSM99-7252, 1999.
- H. J. Hussein, S. P. Capp, and W. K. George, "Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet,"
J. Fluid Mech. 258, 31 (1994) . - N. R. Panchapakesan and J. L. Lumley, "Turbulence measurements in axisymmetric jets of air and helium, part 2 helium jets,"
J. Fluid Mech. 246, 225 (1993) . - M. G. Mungal and D. K. Hollingsworth, "Organized motion in a very high Reynolds number jet," Phys. Fluids A 1, 1615 (1989).
- P. E. Dimotakis, R. C. Miake-Lye, and D. A. Papantoniou, "Structure and dynamics of round turbulent jets," Phys. Fluids 26, 3185 (1983).
- M. Yoda, L. Hesselink, and M. G. Mungal, "The evolution and nature of large-scale structures in the turbulent jet," Phys. Fluids A 4, 803 (1992).
- M. Yoda, L. Hesselink, and M. G. Mungal, "Instantaneous three-dimensional concentration measurements in the self-similar region of a round high-Schmidt-number jet,"
J. Fluid Mech. 279, 313 (1994) . - J. Tso and F. Hussain, "Organized motions in a fully developed turbulent axisymmetric jet,"
J. Fluid Mech. 203, 425 (1989) . - G. K. Batchelor and E. A. Gill, "Analysis of the instability of axisymmetic jets,"
J. Fluid Mech. 14, 529 (1962) . - A. Michalke, "On the inviscid instability of the hyperbolic-tangent velocity profile,"
J. Fluid Mech. 19, 543 (1964) . - A. Michalke, "On spatially growing disturbances in an inviscid shear layer,"
J. Fluid Mech. 23, 521 (1965) . - A. Michalke, "Survey on jet instability theory,"
Prog. Aerosp. Sci. 21, 159 (1984) . - M. N. Glauser and W. K. George, "Application of multipoint measurements for flow characterization,"
Exp. Therm. Fluid Sci. 5, 617 (1992) . - J. H. Citriniti and W. K. George, "The reduction of spatial aliasing by long hot-wire anemometer probes,"
Exp. Fluids 23, 3, 217 (1997) . - W. K. George, "Insight into the dynamics of coherent structures from a proper orthogonal decomposition," in The Structure of Near Wall Turbulence, Proceedings of Symposium on Near Wall Turbulence, Dubrovnik, Yugoslavia, edited by S. Kline (Hemisphere, New York, 1988), pp. 168180.
- P. Holmes, J. L. Lumley, and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge University Press, Cambridge, 1996).
- W. K. George, "Some thoughts on similarity, the POD, and finite boundaries," in Trends in Mathematics, Proceedings of the Second Monte Verita Colloquium, edited by A. Gyr and A. Tsinober (Birkhauser, Sweden, 1999).
- D. Ewing, Ph.D. thesis, Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, 1995.
- S. Gamard and W. K. George, "Application of the POD to the similarity region of an axisymmetric turbulent jet," in Proceedings of the ASME Fluids Engineering Division Summer Meeting, Montreal, Quebec, Canada, July 2002.
- J. L. Lumley, "On the interpretation of time spectra in high intensity shear flows," Phys. Fluids 8, 1056 (1965).
- J. A. B. Wills, "On convection velocities in turbulent shear flows,"
J. Fluid Mech. 20, 417 (1964) . - K. B. M. Q. Zaman and A. K. M. F. Hussain, "Taylor hypothesis and large-scale coherent structures,"
J. Fluid Mech. 112, 379 (1981) . - P. Johansson, W. K. George, and S. H. Woodward, "Proper orthogonal decomposition of an axisymmetric turbulent wake behind a disk," Phys. Fluids 14, 2508 (2002).
- V. F. Kopiev, M. Yu Zaitsev, S. A. Chernyshev, and A. N. Kotova, "The role of large-scale vortex in a turbulent jet noise," AIAA Pap. 99-1839 (1999).
- P. J. Morris, M. G. Giridharan, and G. M. Lilley, "On the turbulent mixing of compressible free shear layers,"
Proc. R. Soc. London, Ser. A 431, 219 (1990) . - Y. Y. Chan, "Spatial waves in turbulent jets," Phys. Fluids 17, 46 (1974).







