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Elliptic jets. Part 3. Dynamics of preferred mode coherent structure

Published online by Cambridge University Press:  26 April 2006

Hyder S. Husain
Affiliation:
Mechanical Engineering Department, University of Houston, Houston, TX 77204-4792, USA
Fazle Hussain
Affiliation:
Mechanical Engineering Department, University of Houston, Houston, TX 77204-4792, USA

Abstract

The dynamics of the preferred mode structure in the near field of an elliptic jet have been investigated using hot-wire measurements. A 2:1 aspect ratio jet with an initially turbulent boundary layer and a constant momentum thickness all around the nozzle exit perimeter was used for this study. Measurements were made in air at a Reynolds number ReDe (≡ UeDe/v) = 3.5 × 104. Controlled longitudinal excitation at the preferred mode frequency (StDefDe/Ue = 0.4) induced periodic formation of structures, allowing phase-locked measurements with a local trigger hot wire. The dynamics of the organized structure are examined from educed fields of coherent vorticity and incoherent turbulence in the major and minor symmetry planes at five successive phases of evolution, and are also compared with corresponding data for a circular jet. Unlike in a circular jet, azimuthally fixed streamwise vortices (ribs) form without the aid of azimuthal forcing. The three-dimensional deformation of elliptic vortical structures and the rib formation mechanism have also been studied through direct numerical simulation. Differential self-induced motions due to non-uniform azimuthal curvature and the azimuthally fixed ribs produce greater mass entrainment in the elliptic jet than in a circular jet. The turbulence production mechanism, entrainment and mixing enhancement, and time-average measures and their modification by excitation are also discussed in terms of coherent structure dynamics and the rib-roll interaction. Various phase-dependent and time-average turbulence measures documented in this paper should serve as target data for validation of numerical simulations and turbulence modelling, and for design and control purposes in technological applications. Further details are given by Husain (1984).

Type
Research Article
Copyright
© 1993 Cambridge University Press

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References

Antonia, R. A. & Britz, D. 1989 Exps. Fluids 7, 138.
Arms, R. J. & Hama, F. R. 1965 Phys. Fluids 8, 553.
Batchelor, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
Bridges, J. E. & Hussain, F. 1988 Evolution of noncircular vortex rings. In Proc. 12th World Congr. on Scientific Computation, Paris, July 18–22.
Cantwell, B. & Coles, D. 1983 J. Fluid Mech. 136, 321.
Coles, D. E. 1962 Rand Corp. Rep. R-403-PR.
Corcos, G. M. & Sherman, F. S. 1984 J. Fluid Mech. 139, 29.
Crow, S. C. & Champagne, F. H. 1971 J. Fluid Mech. 48, 547.
Gutmark, E. & Ho, C. M. 1983 Phys. Fluids 26, 2932.
Hayakawa, M. & Hussain, A. K. M. F. 1985 In 5th Symp. on Turbulent Shear Flows, p. 4.33. Cornell University.
Hayakawa, M. & Hussain, F. 1993 Turbulence structure of a self-preserving plane mixing layer. (submitted).
Ho., C. M. & Gutmark, E. 1987 J. Fluid Mech. 179, 383.
Husain, H. S. 1984 An experimental investigation of unexcited and excited elliptic jets. Ph.D. thesis, University of Houston.
Husain, H. S. & Hussain, A. K. M. F. 1983 Phys. Fluids. 26, 2763.
Husain, H. S. & Hussain, F. 1991 J. Fluid Mech. 233, 439.
Hussain, A. K. M. F. 1983 Phys. Fluids 26, 2816.
Hussain, A. K. M. F. & Clark, A. R. 1981 J. Fluid Mech. 104, 263.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1980 J. Fluid Mech. 101, 493.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1981 J. Fluid Mech. 110, 39.
Hussain, F. & Husain, H. S. 1989 J. Fluid Mech. 208, 257.
Lasheras, J. C., Cho, J. S. & Maxworthy, T. 1986 J. Fluid Mech. 172, 231.
Lasheras, J. C. & Choi, H. 1988 J. Fluid Mech. 189, 52.
Lee, C., Metcalfe, R. W. & Hussain, F. 1991 Turbulent Shear Flows 7, pp. 331343. Springer.
Martin, J. E. & Meiburg, E. 1991 J. Fluid Mech. 230, 271.
Meiburg, E. & Lasheras, J. C. 1988 J. Fluid Mech. 190, 1.
Melander, M. V. & Hussain, F. 1992 New perspectives on vorticity dynamics (submitted).
Melander, M. V., Hussain, F. & Basu, A. 1991 Breakdown of a circular jet into turbulence. In 8th Symp. on Turb. Shear Flow, Munich, Sept. 9-11.
Metcalfe, R., Hussain, F., Menon, S. & Hayakawa, M. 1987 In Turbulent shear flows 5 (ed. F. Durst et al.), p. 110. Springer.
Pierrhumbert, R. T. & Widnall, S. E. 1982 J. Fluid Mech. 114, 59.
Ricou, F. P. & Spalding, D. B. 1961 J. Fluid Mech. 11, 21.
Rogers, M. M. & Moser, R. D. 1992 J. Fluid Mech. 243, 183.
Tso, J. 1983 Coherent structures in a fully-developed axisymmetric jet. Ph.D. thesis, The Johns Hopkins University.
Tso, J. & Hussain, F. 1989 J. Fluid Mech. 203, 225.
Tsuchiya, Y., Horikoshi, C. & Sato, T. 1984 On the spread of rectangular jets. In Turbulence Symp. p. 15.1 (U. of Missouri-Rolla).
Zaman, K. B. M. Q. & Hussain, A. K. M. F. 1980 J. Fluid Mech. 101, 449.