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Controlled symmetric perturbation of the plane jet: an experimental study in the initial region

Published online by Cambridge University Press:  19 April 2006

A. K. M. F. Hussain  and
C. A. Thompson
A. K. M. F. Hussain
Affiliation:
Department of Mechanical Engineering, University of Houston, Texas 77004
C. A. Thompson
Affiliation:
Department of Mechanical Engineering, University of Houston, Texas 77004
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Abstract

The response of the near field of a free, plane air jet (aspect ratio 44:1) to a controlled, sinusoidal perturbation was investigated by hot-wire measurements. The experiments were carried out at an exit excitation amplitude of 1·4 % for the Strouhal number range 0·15 [les ] StH [les ] 0·6 and the Reynolds-number range 8 × 103 [les ] ReH [les ] 3·1 × 104. The influence of the excitation, introduced with a loudspeaker attached to the jet settling chamber, on the mean and fluctuating velocity fields is much weaker than that in the circular jet. The amplitude and phase profiles of the fundamental, educed through phase-locked measurements, show that the induced symmetric mode remains symmetric as it travels downstream. The wave growth rate is much higher and the wavelength much smaller in the shear layer than on the centre-line of the jet. The wave fundamental attains its maximum amplitude at StH ≃ 0·18 on the jet centre-line and at StH ≃ 0·45 in the shear layer. The amplitude profiles of the fundamental in the shear layer agree quite well with the spatial stability theory of Michalke (1965b); however, the phase data do not agree well with the theoretical predictions. The growth rate and the disturbance wavenumber increase monotonically with the StH both in the shear layer and on the centre-line but tend to approach constant values at higher StH. The phase velocity data show that, in the lower Strouhal-number range, the plane jet acts as a non-dispersive waveguide.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 100 , Issue 2 , 25 September 1980 , pp. 397 - 431
Copyright
© 1980 Cambridge University Press

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References

Antonia, R. A., Chambers, A. J. & Hussain, A. K. M. F. 1980 Phys. Fluids 23, 695.
Batchelor, G. K. 1970 An Introduction to Fluid Dynamics. Cambridge University Press.
Beavers, G. S. & Wilson, T. A. 1970 J. Fluid Mech. 44, 97.
Bechert, D. & Pfizenmaier, E. 1975 J. Sound Vib. 43, 581.
Bradshaw, P. 1977 J. Fluid Mech. 80, 795.
Browand, F. K. & Laufer, J. 1975 Turbulence in Liquids, vol. 5, p. 333. University of Missouri- Rolla.
Brown, G. L. & Roshko, A. 1974 J. Fluid Mech. 64, 775.
Bruun, H. H. 1977 J. Fluid Mech. 64, 775.
Cantwell, B., Coles, D. & Dimotakis, P. 1978 J. Fluid Mech. 87, 641.
Chan, Y. Y. 1976 Phys. Fluids 19, 2042.
Clark, A. R. 1979 Ph.D. dissertation, University of Houston.
Crighton, D. G. & Gaster, M. 1976 J. Fluid Mech. 77, 397.
Crow, S. C. & Champagne, F. H. 1971 J. Fluid Mech. 49, 547.
Freymuth, P. 1966 J. Fluid Mech. 25, 683.
Gaster, M. 1962 J. Fluid Mech. 14, 227.
Goldschmidt, V. W. & Bradshaw, P. 1973 Phys. Fluids 16, 354.
Goldschmidt, V. W. & Kaiser, K. F. 1971 A.I.Ch.E. Chem. Eng. Symp. Ser. 67, 91.
Gutmark, E. & Wygnanski, I. 1976 J. Fluid Mech. 73, 465.
Hasan, M. A. Z. 1978 M.S. thesis, University of Houston.
Hill, B. J. 1972 J. Fluid Mech. 51, 773.
Hussain, A. K. M. F. & Clark, A. R. 1977 Phys. Fluids 20, 1416.
Hussain, A. K. M. F., Kleis, S. J. & Sokolov, M. 1980 J. Fluid Mech. 98, 97.
Hussain, A. K. M. F. & Ramjee, V. 1976 Trans. A.S.M.E. I, J. Fluids Engng 98, 58.
Hussain, A. K. M. F. & Reynolds, W. C. 1970 J. Fluid Mech. 41, 241.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1975 Proc. 3rd Int. Symp. on Univ. Res. in Transportation Noise, p. 314. University of Utah.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1978 J. Fluid Mech. 87, 349.
Hussain, A. K. M. F. & Zaman, K. B. M. Q. 1980 J. Fluid Mech. (to appear).
Hussain, A. K. M. F. & Zedan, M. F. 1978 Phys. Fluids 21, 1100.
Kleis, S. J. 1974 Ph.D. thesis, Michigan State University.
Kotsovinos, N. E. 1976 J. Fluid Mech. 77, 305.
Kovasznay, L. S. G. 1978 Structure and Mechanisms of Turbulence I (ed. H. Fiedler), Lecture Notes in Physics, vol. 75, p. 1. Springer.
Landahl, M. T. 1967 J. Fluid Mech. 29, 441.
Lau, J. C. & Fisher, M. J. 1975 J. Fluid Mech. 67, 299.
Mattingly, G. E. & Criminale, W. O. 1971 Phys. Fluids 14, 2258.
Michalke, A. 1965a J. Fluid Mech. 22, 351.
Michalke, A. 1965b J. Fluid Mech. 23, 521.
Moffatt, H. K. 1968 Computation of Turbulent Boundary Layers- 1968 AFOSR IFP-Stanford Conf., p. 495. Stanford University.
Mollo-Christensen, E. 1967 Trans. A.S.M.E. E, J. Appl. Mech. 89, 1.
Moore, C. J. 1977 J. Fluid Mech. 80, 321.
Morkovin, M. V. & Paranjape, S. V. 1971 Z. Flugwiss. 19, 328.
Morrison, W. R. B. & Kronauer, R. E. 1970 J. Fluid Mech. 39, 117.
Payne, F. R. & Lumley, J. L. 1967 Phys. Fluids 10, S194.
Petersen, R. A., Kaplan, R. E. & Laufer, J. 1974 N.A.S.A. Contractor Rep. no. 134733.
Phillips, O. M. 1967 J. Fluid Mech. 29, 131.
Reynolds, W. C. & Hussain, A. K. M. F. 1972 J. Fluid Mech. 52, 263.
Ricou, F. P. & Spalding, D. B. 1961 J. Fluid Mech. 11, 21.
Rockwell, D. O. 1972 Trans. A.S.M.E. E, J. Appl. Mech. 39, 883.
Rockwell, D. O. & Niccolls, W. O. 1972 Trans. A.S.M.E. D, J. Basic Engng 94, 720.
Saffman, P. G. 1978a Structure and Mechanisms of Turbulence II (ed. H. Fiedler), Lecture Notes in Physics, vol. 76, p. 273. Springer.
Saffman, P. G. 1978b J. Fluid Mech. 84, 625.
Sato, H. 1960 J. Fluid Mech. 7, 53.
Schubauer, G. B. & Skramstad, H. K. 1947 J. Aero. Sci. 14, 69.
Sokolov, M., Hussain, A. K. M. F., Kleis, S. J. & Husain, Z. D. 1980 J. Fluid Mech. 98, 65.
Thompson, C. A. 1975 Ph.D. dissertation, University of Houston.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Vlasov, Y. V. & Ginevskiy, A. S. 1974 N.A.S.A. TTF-15, 721.
Widnall, S. 1975 Ann. Rev. Fluid Mech. 7, 141.
Wills, J. A. B. 1964 J. Fluid Mech. 20, 417.
Winant, D. D. & Browand, F. K. 1974 J. Fluid Mech. 63, 237.
Wygnanski, I. & Gutmark, E. 1971 Phys. Fluids 14, 1309.
Wygnanski, I., Sokolov, M. & Friedman, D. 1976 J. Fluid Mech. 78, 785.
Yule, A. J. 1978 J. Fluid Mech. 89, 413.
Zaman, K. B. M. Q. & Hussain, A. K. M. F. 1980 J. Fluid Mech. (to appear).