Hostname: page-component-77c89778f8-swr86 Total loading time: 0 Render date: 2024-07-22T19:20:44.706Z Has data issue: false hasContentIssue false

Flow patterns of large eddies in a wake and in a boundary layer

Published online by Cambridge University Press:  19 April 2006

A. A. Townsend
Affiliation:
Emmanuel College, Cambridge

Abstract

The turbulent velocity fluctuations at eight positions on sections of a plane wake and a boundary layer have been sampled simultaneously and recorded in digital form on magnetic tape for subsequent numerical analysis. Two configurations have been used (lines of equally-spaced sensors in planes normal to the flow, and arrays with three rows) with sensors responsive both to streamwise and cross-stream components of the fluctuations. To the extent that the Taylor approximation of ‘frozen’ flow is valid, the recorded fluctuations may be interpreted as instantaneous values at grid points in the volume swept out by the array.

The records have been examined, (a) to find evidence for flow patterns with marked periodicity in one direction, and (b) to select dimensions and orientations for simple eddy flow patterns whose random superposition would lead to correlation functions with a close resemblance to those calculated from the recorded data. In the wake, clear evidence was found for periodic flow patterns that resemble the eddies of a von Kármán street, but, although the spacing of eddy centres in each group was uniform, it varied considerably from one group to another, suggesting that groups are being observed in different stages of development.

Two kinds of correlation were calculated from the records, (i) simple mean values of velocity products, and (ii) mean values of the products weighted by the total intensity or Reynolds stress in the effective volume swept by the array of sensors. For both kinds, the correlations are well described by simple inclined roller-type eddies, but the correspondence is greatly improved by weighting in favour of intensity or Reynolds stress. It appears that the eddies contributing most to intensity or Reynolds stress are less variable in form than all the eddies together, and that those contributing most to Reynolds stress are significantly different in shape and in orientation from those contributing most to turbulent energy.

Type
Research Article
Copyright
© 1979 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

Bradshaw, P. 1965 J. Fluid Mech. 22, 679.
Bradshaw, P., Ferriss, D. H. & Johnson, R. F. 1964 J. Fluid Mech. 19, 591.
Brown, G. L. & Roshko, A. 1974 J. Fluid Mech. 64, 775.
Davies, P. O. A. L. & Yule, A. J. 1975 J. Fluid Mech. 69, 513.
Fernholtz, H. 1964 Aero. Res. Committee R. & M. no. 3368.
Grant, H. L. 1958 J. Fluid Mech. 4, 149.
Gupta, A. K., Laufer, J. & Kaplan, R. E. 1971 J. Fluid Mech. 50, 493.
Keffer, J. F. 1965 J. Fluid Mech. 22, 135.
Lumley, J. L. 1965 Atmospheric Turbulence and Radio Wave Propagation. Proc. Int. Colloq. Moscow, p. 166.Google Scholar
Townsend A. A. 1949 Proc. Roy. Soc. A 197, 124.
Townsend, A. A. 1970 J. Fluid Mech. 41, 13.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.