Hostname: page-component-7c8c6479df-nwzlb Total loading time: 0 Render date: 2024-03-29T13:41:32.904Z Has data issue: false hasContentIssue false

Further space-time correlations of velocity in a turbulent boundary layer

Published online by Cambridge University Press:  28 March 2006

A. J. Favre
Affiliation:
Laboratoire de Mécanique de l'Atmosphère, Université de Marseille
J. J. Gaviglio
Affiliation:
Laboratoire de Mécanique de l'Atmosphère, Université de Marseille
R. J. Dumas
Affiliation:
Laboratoire de Mécanique de l'Atmosphère, Université de Marseille

Abstract

This paper describes the results of further experimental investigation of the turbulent boundary layer with zero pressure gradient. Measurements of autocorrelation and of space-time double correlation have been made respectively with single hot-wires and with two hot-wires with the separation vector in any direction. Space-time correlations reach a maximum for some optimum delay. In the case of two points set on a line orthogonal to the plate, the optimum delay Ti is not zero. In the general case it is equal to the corresponding delay Ti, increased by compensating delay for translation with the mean flow. Taylor's hypothesis may be applied to the boundary layer at distances from the wall greater than 3% of the layer thickness. Space-time isocorrelation surfaces obtained with optimum delay have a large aspect ratio in the mean flow direction, even if they are relative to a point close to the wall (0·03δ); the correlations along the mean flow then retain high values on account of the large scale of the turbulence.

Type
Research Article
Copyright
© 1958 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

Clauser, F. H. 1954 J. Aero. Sci. 21, 91.
Favre, A. 1946 Proc. 6th Inter. Congr. Appl. Mech.
Favre, A. 1948 Proc. 7th Inter. Congr. Appl. Mech.
Favre, A., Gaviglio, J. & Dumas, R. 1952 Publ. Sci. Tech. Minist. de l'Air, no. 296.
Favre, A., Gaviglio, J. & Dumas, R. 1953a La Rech. Aéro., no. 31.
Favre, A., Gaviglio, J. & Dumas, R. 1953b La Rech. Aéro., no. 32.
Favre, A., Gaviglio, J. & Dumas, R. 1954a La Rech. Aéro., no. 38.
Favre, A., Gaviglio, J. & Dumas, R. 1954b La Rech. Aéro., no. 39.
Favre, A., Gaviglio, J. & Dumas, R. 1954c La Rech. Aéro., no. 40.
Favre, A., Gaviglio, J. & Dumas, R. 1957 J. Fluid Mech. 2, 313.
Taylor, G. I. 1938 Proc. Roy. Soc. A, 164, 476.