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The Departure from Equilibrium of Turbulent Boundary Layers

Published online by Cambridge University Press:  07 June 2016

H. McDonald
H. McDonald*
Affiliation:
United Aircraft Research Laboratories, Connecticut
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Summary

Recently two authors, Nash and Goldberg, have suggested, intuitively, that the rate at which the shear stress distribution in an incompressible, two-dimensional, turbulent boundary layer would return to its equilibrium value is directly proportional to the extent of the departure from the equilibrium state. Examination of the behaviour of the integral properties of the boundary layer supports this hypothesis. In the present paper a relationship similar to the suggestion of Nash and Goldberg is derived from the local balance of the kinetic energy of the turbulence. Coupling this simple derived relationship to the boundary layer momentum and moment-of-momentum integral equations results in quite accurate predictions of the behaviour of non-equilibrium turbulent boundary layers in arbitrary adverse (given) pressure distributions.

Type
Research Article
Information
Aeronautical Quarterly , Volume 19 , Issue 1 , February 1968 , pp. 1 - 19
Copyright
Copyright © Royal Aeronautical Society. 1968

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