Initial Development of Turbulent, Compressible Free Shear Layers

[+] Author and Article Information
W. G. Hill

Research Department, Grumman Aircraft Engineering Corporation, Bethpage, N. Y.

R. H. Page

Department of Mechanical and Aerospace Engineering, Rutgers—The State University, New Brunswick, N. J.

J. Basic Eng 91(1), 67-73 (Mar 01, 1969) (7 pages) doi:10.1115/1.3571030 History: Received August 19, 1968; Online November 03, 2011


The mixing zone between a two dimensional free stream and a fluid essentially at rest is studied experimentally and analytically. Turbulent shear layer velocity profiles were measured behind rearward facing steps and over cavities for equivalent free stream Mach numbers from 2.1 to 3.7, utilizing a wind tunnel wall boundary layer. Approximate methods are derived for calculating the shear layer change from an attached turbulent boundary layer to a fully developed free shear layer. A linearized equation of motion is used for the early stages of development, whereas the downstream stages are calculated by using a similarity profile. Both methods permit rapid calculations of the shear layer profile at any location along the mixing zone, without the necessity of determining the intermediate profiles. Comparison of the approximate methods with these experiments, and with experiments of other investigators, shows good agreement over the subsonic to supersonic Mach number range examined.

Copyright © 1969 by ASME
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