Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-28T14:23:12.442Z Has data issue: false hasContentIssue false

On the energy balance of a turbulent mixing layer

Published online by Cambridge University Press:  28 March 2006

G. T. Csanady
Affiliation:
Essex College, Assumption University of Windsor, Ontario

Abstract

An analysis of experimental results shows that the three most important terms in the energy balance of a mixing layer—the production, diffusion and dissipation terms—may be expressed in terms of an eddy viscosity, eddy diffusivity for turbulent energy, and a microscale, respectively, all being constant for a given cross-section. A first-order solution calculated for the resulting differential equation yields a turbulent intensity profile in qualitative agreement with experiment. The peak value of the turbulent intensity is found to depend on a dissipation constant and on the ratio of eddy diffusivity for turbulent energy to eddy viscosity. Experiments carried out with the intention of reducing turbulent intensities by means of extraneous vortices, generated by small delta wings, have shown slight increases in intensity, presumably because eddy viscosity increases with eddy diffusivity.

Type
Research Article
Copyright
© 1963 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

Corcos, G. M. 1959 J. Aero Space Sci. 26, 717.
Kidron, I. 1960 On the measurement of Dynamic Flow Phenomena with the Constant Temperature Anemometer. DISA Elektronik A/S, Herlev, Denmark.
Liepmann, H. W. & Laufer, J. 1947 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 1257.
Lilley, G. M. 1958 Aero. Res. Counc., Lond., Rep. no. 20736.
Ribner, H. S. 1958 Inst. of Aerophysics, Univ. Toronto, Rep. no. 51.
Schlichting, H. 1960 Boundary Layer Theory. New York: McGraw Hill.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1961 J. Fluid Mech. 11, 97.
Westley, R. & Lilley, G. M. 1952 Coll. Aero. Cranfield, Rep. no. 53.