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A spanwise structure in the plane shear layer

Published online by Cambridge University Press:  20 April 2006

Javier Jimenez
Javier Jimenez
Affiliation:
IBM Scientific Center, P. Castellana 4, Madrid, Spain and School of Aeronautics, Universidad Politecnica, Madrid
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Abstract

We study experimentally the spanwise structure of the mean flow field of a plane shear layer. The field is dominated by a lateral undulation that persists downstream to form long longitudinal structures. Both the amplitude and spacing of these structures vary in such a way as to suggest that they are due to a secondary instability of the flow field. Some models for this instability are discussed and compared with the experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 132 , July 1983 , pp. 319 - 336
Copyright
© 1983 Cambridge University Press

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References

Benney, D. J. 1961 A non-linear theory for oscillations in a parallel flow J. Fluid Mech. 10, 209–236.Google Scholar
Bernal, L. P. 1981 The coherent structure in turbulent mixing layers, II: Secondary streamwise vortex structure. PhD thesis, Caltech.
Bernal, L. P., Breidenthal, R. E., Brown, G. L., Konrad, J. H. & Roshko, A. 1979 On the development of three dimensional small scales in turbulent mixing layers. In Proc. 2nd Symp. Turbulent Shear Flows, London, pp. 8.1–8.6.
Breidenthal, R. E. 1981 Structure in turbulent mixing layers and wakes using a chemical reaction J. Fluid Mech. 116, 1–24.Google Scholar
Browand, F. K. & Troutt, T. R. 1980 A note on spanwise structure in the two-dimensional mixing layer J. Fluid Mech. 97, 771–781.Google Scholar
Corcos, G. M. 1979 The mixing layer: Deterministic models of a turbulent flow. Rep. FM-79-2 University of California, Berkeley.
Crow, S. C. 1970 Stability theory for a pair of trailing vortices AIAA J. 8, 2172–2179.Google Scholar
Hernan, M. A. & Jimenez, J. 1982 Computer analysis of a high-speed film of the plane turbulent mixing layer J. Fluid Mech. 119, 323–345.Google Scholar
Hussain, A. K. M. F. & Zedan, M. F. 1978 Effects of the initial condition on the axisymmetric free shear layer: effects of the initial momentum thickness. Phys. Fluids 21, 1100–1112.Google Scholar
Jimenez, J., MARTINEZ-VAL, R. & Rebollo, M. 1979a The spectrum of the large scale structures in a mixing layer. In Proc. 2nd Symp. Turbulent Shear Flows, London, pp. 8.7–8.11.
Jimenez, J., MARTINEZ-VAL, R. & Rebollo, M. 1979b The origin and evolution of three dimensional effects in the mixing layer. USA-ERO Rep. 79-G-079, London.Google Scholar
Konrad, J. H. 1976 An experimental investigation of mixing in two-dimensional turbulent shear flows with applications to diffusion-limited chemical reactions. PhD thesis, Caltech.
Koochesfahani, M. M., Catherasoo, C. J., Dimotakis, P. E., Gharib, M. & Lang, D. B. 1979 Two-point LDV measurements in a plane mixing layer AIAA J. 17, 1347–1351.Google Scholar
Michalke, A. 1965 On spatially growing disturbances in an inviscid shear layer J. Fluid Mech. 23, 521–544.Google Scholar
Moore, D. W. & Saffman, P. G. 1975 The instability of a straight vortex filament in a strain field Proc. R. Soc. Lond. A346, 413–425.Google Scholar
Pierrehumbert, R. T. & Widnall, S. E. 1982 The two- and three-dimensional instabilities of a spatially periodic shear layer J. Fluid Mech. 114, 59–82.Google Scholar
Roshko, A. 1980 The plane mixing layer, flow visualization results and three dimensional effects. In The Role of Coherent Structures in Modelling Turbulence and Mixing (ed. J. Jimenez). Lecture Notes in Physics, vol. 136, pp. 208–217. Springer.
Saffman, P. G. & Baker, G. R. 1979 Vortex interactions Ann. Rev. Fluid Mech. 11, 95–122.Google Scholar
Tsai, C. Y. & Widnall, S. E. 1976 The stability of short waves on a straight vortex filament in a weak externally imposed strain field J. Fluid Mech. 73, 721–733.Google Scholar
Welch, P. D. 1967 The use of FFT for estimation of power spectra IEEE Trans. Audio Electro. 15, 70–73.Google Scholar
Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism of turbulent mixing layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237–255.Google Scholar
Widnall, S. E., Bliss, D. B. & Tsai, C. Y. 1974 The instability of short waves in a vortex ring J. Fluid Mech. 66, 35–47.Google Scholar
Wygnanski, I., Oster, D., Fiedler, H. & Dziomba, B. 1979 On the perseverance of a quasi-two-dimensional eddy structure in a turbulent mixing layer J. Fluid Mech. 93, 325–335.Google Scholar