Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-28T20:44:29.349Z Has data issue: false hasContentIssue false
  • English
  • Français

The structure of a self-preserving turbulent plane jet

Published online by Cambridge University Press:  28 March 2006

L. J. S. Bradbury
L. J. S. Bradbury
Affiliation:
Queen Mary College, University of London Now at the Royal Aircraft Establishment, Farnborough, Hampshire.
Get access Rights & Permissions [Opens in a new window]

Abstract

The structure of a self-preserving turbulent plane jet exhausting into a slow-moving parallel airstream is studied. The investigation includes results of turbulence measurements and the structure is compared with that of a self-preserving plane wake. The results show that self-preservation is established at a distance of about thirty jet widths downstream of the jet nozzle and that, in the self-preserving region of the jet, the distributions of the turbulent intensities and shear stress across the jet are very similar to those found in the plane wake. The distribution of the intermittency factor, however, is found to be more like that found in an axi-symmetric jet than in a plane wake. The turbulent energy balance also shows important differences to that of the wake flow. The unsteady irrotational flow outside the turbulent shear layer is investigated and it is found that the experimental results agree with the predictions of the theories of Phillips (1955) and Stewart (1956). Some comments are also made on the eddy structure and the applicability of the simple theories of turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 1 , September 1965 , pp. 31 - 64
Copyright
© 1965 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

Batchelor, G. K. 1950 Note on free turbulent flows with special reference to the two-dimensional wake. J. Aero. Sci. 17, 441.Google Scholar
Bradbury, L. J. S. 1963 An investigation into the structure of a turbulent plane jet. Ph.D. thesis, University of London.
Bradbury, L. J. S. 1964 A simple circuit for the measurement of the intermittency factor in a turbulent flow. Aero. Quart. 15, 281.Google Scholar
Bradshaw, P., Ferriss, D. H. & Johnson, R. F. 1963 Turbulence in the noise producing region of a circular jet. N.P.L. Aero. Rep. no. 1054.Google Scholar
Collis, R. D. & Williams, M. J. 1959 Two-dimensional convection from heated wires at low Reynolds numbers. J. Fluid Mech, 6, 357.Google Scholar
Corrsin, S. 1943 An investigation of the flow in an axially symmetric heated jet. NACA Rep. no. W-94.Google Scholar
Corrsin, S. 1957 Some current problems in turbulent shear flows. Nat. Acad. Sci. Naval Hydrodynamics, Publ. no. 515.Google Scholar
Corrsin, S. & Kistler, A. L. 1954 The free-stream boundaries of turbulent flow. NACA TN no. 3133.Google Scholar
Corrsin, S. & Uberoi, M. 1949 Further experiments on the flow and heat transfer in a heated turbulent air jet. NACA TN no. 1865.Google Scholar
Davies, P. A. O. L., Fisher, M. J. & Barratt, M. J. 1963 The characteristics of the turbulence in the mixing region of a round jet. J. Fluid Mech. 15, 337.Google Scholar
Eskinazi, S. & Kruka, V. 1962 Turbulence measurements in a two-dimensional rectangular wall jet with longitudinal free-stream. Syracuse Univ. Res. Inst. Rep. no. ME 937-6205P.Google Scholar
Forthmann, E. 1936 Turbulent jet expansions. NACA TM no. 789.Google Scholar
Gibson, M. M. 1963 Spectra of turbulence in a round jet. J. Fluid Mech. 15, 161.Google Scholar
Grant, H. L. 1958 The large eddies of turbulent motion. J. Fluid Mech. 4, 149.Google Scholar
Grant, H. L., Stewart, R. W. & Moilliet, A. 1962 Turbulence spectra form a tidal channel. J. Fluid Mech. 12, 241.Google Scholar
Hinze, J. O. 1959 Turbulence. New York: McGraw Hill Book Co.
Klebanoff, P. S. 1954 Characteristics of turbulence in a boundary layer with zero pressure gradient. NACA TN no. 3178.Google Scholar
Laurence, J. C. 1956 Intensity, scale and spectra of turbulence in the mixing region of a free subsonic jet. NACA Rep. no. 1292.Google Scholar
Liepmann, H. W. & Laufer, J. 1947 Investigation of free turbulent mixing. NACA TN no. 1257.Google Scholar
Miller, D. R. & Commings, E. W. 1957 Static pressure distribution in the free turbulent jet. J. Fluid Mech. 3, 1.Google Scholar
Nakaguchi, H. 1961 Jet along a curved wall. Tokyo University Aerodynamics Res. Memo. no. 4.Google Scholar
Newman, B. G. & Leary, B. G. 1949 The measurement of the Reynolds stresses in a circular pipe as a means of testing a hot-wire anemometer. Rep. Dept. Supply, Aero Res. Lab. no. A 72.Google Scholar
Phillips, O. 1955 The irrotational motion outside a free turbulent boundary. Proc. Camb. Phil. Soc. 51, 220.Google Scholar
Ruetnik, J. R. 1955 The effect of the temperature dependence of King's constant. A on the hot wire sensitivity coefficient. J. Aero. Sci. 22, 502.Google Scholar
Stewart, R. W. 1956 Irrotational motion associated with free turbulent flows. J. Fluid Mech. 1, 593.Google Scholar
Toomre, A. 1960 Effect of turbulence on static pressure measurements. Aero Res. Counc. FM no. 2972.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Van der Hegge Zijnen, B. G. 1958a Measurements of the velocity distribution in a plane turbulent jet of air. Appl. Sci. Res. A, 7, 256.Google Scholar
Van der Hegge Zijnen, B. G. 1958b Measurements of the distribution of heat and matter in a plane turbulent jet of air. Appl. Sci. Res. A, 7, 277.Google Scholar
Van der Hegge Zijnen, B. G. 1958c Turbulence measurements in a two-dimensional jet. Appl. Sci. Res. A, 7, 293.Google Scholar
Webster, C. A. G. 1962 A note on the sensitivity to yaw of a hot wire anemometer. J. Fluid Mech. 13, 307.Google Scholar