Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-18T18:04:55.627Z Has data issue: false hasContentIssue false

The two-dimensional mixing region

Published online by Cambridge University Press:  29 March 2006

I. Wygnanski
Affiliation:
Boeing Scientific Research Laboratories, Seattle
H. E. Fiedler
Affiliation:
Boeing Scientific Research Laboratories, Seattle Present address: Hermann-Föttinger-Institut fur Strömung technik Technische Universität Berlin.

Abstract

The two-dimensional incompressible mixing layer was investigated by using constant-temperature, linearized hot wire anemometers. The measurements were divided into three categories: (1) the conventional average measurements; (2) time-average measurements in the turbulent and the non-turbulent zones; (3) ensemble average measurements conditioned to a specific location of the interface. The turbulent energy balance was constructed twice, once using the conventional results and again using the turbulent zone results. Some differences emerged between the two sets of results. It appears that the mixing region can be divided into two regions, one on the high velocity side which resembles the outer part of a wake and the other on the low velocity side which resembles a jet. The binding turbulent–non-turbulent interfaces seem to move independently of each other. There is a strong connexion between the instantaneous location of the interface and the axial velocity profile. Indeed the well known exponential mean velocity profile never actually exists at any given instant. In spite of the complexity of the flow the simple concepts of eddy viscosity and eddy diffusivity appear to be valid within the turbulent zone.

Type
Research Article
Copyright
© 1970 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

Bradbury, L. J. S. 1965 J. Fluid Mech. 23, 31.
Bradshaw, P. 1967 J. Fluid Mech. 27, 209.
Bradshaw, P., Ferris, D. H. & Johnson, R. F. 1963 NPL Aero Rep. 1054.
Champagne, F. H. & Sleicher, C. A. 1967 J. Fluid Mech. 28, 177.
Corrsin, S. & Kistler, A. L. 1955 NACA Rep. 1244.
Davies, P. O. A. L., Fisher, M. J. & Barratt, M. J. 1963 J. Fluid Mech. 15, 337.
Demetriades, A. 1968 J. Fluid Mech. 34, 465.
Heskestad, G. 1965 J. App. Mech. 32, 721.
Hwang, N. H. C. & Baldwin, L. V. 1966 J. Basic Engng. 88, 261.
Kibens, V. 1968 Doctoral Dissertation, Johns Hopkins University.
Klebanoff, L. L. 1955 NACA Rep. 1247.
Laurence, J. C. 1956 NACA Rep. 1292.
Liepmann, H. W. & Laufer, J. 1947 NACA Tech. Note, 1257.
Phillips, O. M. 1955 Proc. Camb. Phil. Soc. 51, 270.
Phillips, O. M. 1967 J. Fluid Mech. 27, 131.
Townsend, A. A. 1949a Proc. Roy. Soc. A 197, 124.
Townsend, A. A. 1949b Aust. J. Sci. Res. 2, 451.
Townsend, A. A. 1950 Phil. Mag. 41, 890.
Townsend, A. A. 1951 Proc. Camb. Phil. Soc. 47, 375.
Townsend, A. A. 1956 The Structures of Turbulent Shear Flow. Cambridge University Press.
Wygnanski, I. & Fiedler, H. E. 1969 J. Fluid Mech. 38, 577.