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A new method of boundary layer wall shear stress evaluation

Published online by Cambridge University Press:  04 July 2016

Peter D. Smith  and
Raymond E. Franklin
Peter D. Smith
Affiliation:
Dept of Civil Engineering, Royal Military College of Science, Shrivenham
Raymond E. Franklin
Affiliation:
Dept of Engineering Science, University of Oxford
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Extract

It has long been suspected that the inner portion of any turbulent boundary layer velocity profile obeys a so-called law of the wall which takes the form:

where u is the boundary layer velocity at a distance y from the wall, uτ is the friction velocity given by √(τw/ρ) in which τw is the wall shearing stress and ρ is the fluid density, v is the kinematic viscosity and A and B are constants.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 83 , Issue 824 , August 1979 , pp. 320 - 321
Copyright
Copyright © Royal Aeronautical Society 1979 

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References

1. Prandtl, L. Uber die ausgebildete Turbulenz. Zeitschriftfur Angewandte Mathematik und Mechanik. Also: Proceedings of the Second International Congress on Applied Mechanics, 1926.Google Scholar
2. Prandtl, L. Aerodynamic Theory III (ed. by W. F., Durand), 1935.Google Scholar
3. Ludwieg, H. and Tillmann, W. Investigations of wall shear stress in turbulent boundary layers. NACA TM 1285, 1950.Google Scholar
4. Clauser, F. H. The turbulent boundary layer. Advances in Applied Mechanics, 4, 1–51, 1956.Google Scholar
5. Galbraith, R. A. MCD., Sjolander, S. and Head, M. R. Mixing length in the wall region of turbulent boundary layers. Aeronautical Quarterly, XXVIII, 97–110, May 1977.Google Scholar
6. Klebanoff, P. S. and Diehl, F. W. Some features of artificially thickened fully-developed turbulent boundary layers with zero pressure gradient. NACA TN 2475, 1951.Google Scholar
7. Clauser, F. H. Turbulent boundary layers in adverse pressure gradients. Journal of the Aeronautical Sciences, 21, 2, 91–108, 1954.Google Scholar
8. Bradshaw, P. A simple method of determining turbulent skin friction from velocity profiles. Journal of Aerospace Science, 26, 841, 1959.Google Scholar
9. Rajaratnam, N. and Froelich, C. R. Boundary shear stress in turbulent boundary layers on smooth boundaries. Journal of the Royal Aeronautical Society, 71, 52–53, January 1967.Google Scholar
10. Tracy, H. J. and Lester, C. M. Resistance coefficients and velocity distribution, smooth rectangular channel. United States Geological Survey Water Supply Paper, 1592-A, 1961.Google Scholar
11. Osborn, E. C. Skin friction measurements with a floating element balance. BSc Thesis, Oxford University Department of Engineering Science, 1969.Google Scholar
12. Smith, P. D. Direct measurement of surface drag. MSc Thesis, Oxford University Department of Engineering Science, 1976.Google Scholar