Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-27T14:24:34.466Z Has data issue: false hasContentIssue false
  • English
  • Français

The maintenance of turbulent shear stress in a mixing layer

Published online by Cambridge University Press:  29 March 2006

Ian S. F. Jones
Ian S. F. Jones
Affiliation:
Boeing Scientific Research Laboratories Present address: R. A. N. Research Laboratory, Garden Island, N.S.W. 2000, Australia.
Get access Rights & Permissions [Opens in a new window]

Abstract

Wavenumber frequency spectra have been measured in a two-dimensional incompressible mixing layer, using linearized hot-wire anemometers. Spectra of two dimensions (frequency and wavenumber) have been measured for lateral and longitudinal turbulent velocities, and used to construct three-dimensional spectra. The validity of the separation assumption used to construct these spectra was tested. Spectra of the velocity product responsible for the mean shear stress and the lateral gradient of this spectrum have been determined, as has a structure constant for the lateral velocity fluctuations that Phillips (1967) suggested is relevant to the maintenance of the shear stress gradient. Phillips’ (1967) stress model fails the tests proposed in this study.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 74 , Issue 2 , 23 March 1976 , pp. 269 - 295
Copyright
© 1976 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batt, R. G., Kubota, T. & Laufer, J. 1970 Experimental investigation of the effect of shear flow turbulence on a chemical reaction. A.I.A.A. Paper, no. 70–810.Google Scholar
Bradshaw, P. & Ferriss, D. H. 1965 The spectral energy balance in a turbulent mixing layer. Nat. Phys. Lab. Aero. Rep. no. 1144.Google Scholar
Bradshaw, P., Ferriss, D. H. & Johnson, R. F. 1964 Turbulence in the noise-producing region of a circular jet J. Fluid Mech. 19, 591.Google Scholar
Davies, P. O. A. L., Fisher, M. J. & Barratt, M. J. 1963 The characteristics of turbulence in the mixing region of a round Jet J. Fluid Mech. 15, 337.Google Scholar
Jones, I. S. F. 1968 Scales pertinent to noise generation from a jet. AFOSR-UTIAS Symp. on Aerodynamic Noise, p. 69. Toronto University Press.
Jones, I. S. F. 1969 Fluctuating turbulent stresses in the noise-producing region of a jet J. Fluid Mech. 36, 529.Google Scholar
Liepmann, H. W. & Laufer, J. 1947 Investigations of free turbulent mixing. N.A.C.A. Tech. Note, no. 1257.Google Scholar
Lumley, J. L. & Panofsky, H. A. 1964 The Structure of Atmospheric Turbulence. Wiley.
Miles, J. W. 1957 On the generation of surface waves by shear flow J. Fluid Mech. 3, 185.Google Scholar
Miles, J. W. 1967 On the generation of surface waves by shear flows. Part 5 J. Fluid Mech. 30, 163.Google Scholar
Phillips, O. M. 1967 The maintenance of Reynolds stress in turbulent shear flow J. Fluid Mech. 27, 131.Google Scholar
Phillips, O. M. 1969 Shear-flow turbulence Ann. Rev. Fluid Mech. 1, 245.Google Scholar
Wills, J. A. B. 1964 On convection velocities in turbulent shear flows J. Fluid Mech. 20, 417.Google Scholar
Wills, J. A. B. 1971 Measurements for wavenumber/phase velocity spectrum of wall pressure beneath a turbulent boundary layer J. Fluid Mech. 45, 65.Google Scholar
Wygnanski, I. & Fiedler, H. E. 1970 The two-dimensional mixing region J. Fluid Mech. 41, 327.Google Scholar