Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-28T19:08:41.002Z Has data issue: false hasContentIssue false

Statistical characteristics of a turbulent jet

Published online by Cambridge University Press:  29 March 2006

M. M. Ribeiro
Affiliation:
Department of Mechanical Engineering, Imperial College, London
J. H. Whitelaw
Affiliation:
Department of Mechanical Engineering, Imperial College, London

Abstract

Velocity probability distributions and autocorrelation functions were measured in the self-preserving region of a round free jet at 57 diameters. On-line digital-sampling procedures were used to interpret the signals from a crossed hot-wire probe. Particular attention was paid to the probabilities of the axial and radial velocity components and of the angle between them at radial locations corresponding to the centre-line and the location of maximum shear stress and at an edge location r/x = 0·087.

The results show, for example, that the probability of the axial velocity on the centre-line is slightly non-Gaussian and that, in general, the observed deviations of the probabilities of u depend upon the difference in behaviour of the corresponding distributions for positive and negative ν; outward transport (positive ν) is associated with near-Gaussian u distributions whereas inward transport (negative ν) is associated with skewed u distributions. The probability of the fluctuating vector (u, v) becomes more asymmetric with increasing radius with the dominant direction corresponding to positive $\overline{uv}$. The measured auto-and cross-correlations are shown to be largely independent of radius.

Type
Research Article
Copyright
© 1975 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

Antonia, R. A. 1972 Conditionally sampled measurements near the outer edge of a turbulent boundary layer. J. Fluid Mech. 56, 1.Google Scholar
Champagne, F. H. & Sleicher, C. A. 1967 Turbulence measurements with inclined hot wires. J. Fluid Mech. 28, 177.Google Scholar
Frenkiel, F. N. & Klebanoff, P. S. 1973 Probability distributions and correlations in a turbulent boundary layer. Phys. Fluids, 16, 725.Google Scholar
Gibson, M. M. 1963 Spectra of turbulence in a round jet. J. Fluid Mech. 15, 161.Google Scholar
Gupta, A. K. & Kaplan, R. E. 1972 Statistical characteristics of Reynolds stress in a turbulent boundary layer. Phys. Fluids, 15, 981.Google Scholar
Lumley, J. 1970 Stochastic Tools in Turbulence. Academic.
Rodi, W. 1972 Ph.D. thesis, Mechanical Engineering Department, Imperial College.
Wygnanski, I. & Fiedler, H. 1969 Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577.Google Scholar