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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

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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