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Approximate Solution of the “Inverse Problem” of Boundary Layer Theory

Published online by Cambridge University Press:  04 July 2016

P. Bradshaw
P. Bradshaw*
Affiliation:
Aerodynamics Division, National Physical Laboratory
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Extract

Existing approximate formulae for the thickness of laminar and turbulent boundary layers are used to derive a method of calculating the free-stream velocity distribution corresponding to a given variation of shape parameter.

Thwaites has given the formula

for the momentum thickness of a laminar boundary layer with free-stream velocity u (x). This is the integral form of the empirical equation

Type
Technical Notes
Information
The Aeronautical Journal , Volume 64 , Issue 592 , April 1960 , pp. 225 - 226
Copyright
Copyright © Royal Aeronautical Society 1960

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References

1.Thwaites, B. (1949). Approximate Calculation of the Laminar Boundary Layer. The Aeronautical Quarterly, Vol. I, p. 245, November 1949.Google Scholar
2.Schlichting, H. (1955). Boundary Layer Theory. Pergamon Press, p. 206, 1955.Google Scholar
3.Garner, H. C. (1944). The Development of Turbulent Boundary Layers. A.R.C. R. & M. 2133, 1944.Google Scholar
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5.Falkner, V. M. and Skan, S. W. (1930). Some Approxi mate Solutions of the Boundary Layer Equations. A.R.C. R. & M. 1314, 1930.Google Scholar
6.Townsend, A. A. (1956). The Structure of Turbulent Shear Flow. Cambridge University Press, p. 265, 1956.Google Scholar