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Boundary Shear Stress in Turbulent Boundary Layers on Smooth Boundaries

Published online by Cambridge University Press:  04 July 2016

Dr. N. Rajaratnam  and
C. R. Froelich
Dr. N. Rajaratnam
Affiliation:
Dept of Civil Engineering, University of Alberta, Canada
C. R. Froelich
Affiliation:
Dept of Civil Engineering, University of Alberta, Canada
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Extract

It is well known that in the case of turbulent flow over smooth boundaries, the velocity distribution in the neigh- i bourhood of the wall is given by the law of the wall, c written as

where u is the turbulent mean velocity at a normal distance of y from the boundary, u* is the shear velocity equal to being the boundary shear stress and ρ the mass density of the fluid and v is the coefficient of kinematic viscosity. In the viscous sublayer, eqn. (1) becomes

and in the turbulent flow region above the sublayer and the transition region, for yu*/v> 30, eqn. (1) becomes

where A and B are coefficients.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 71 , Issue 673 , January 1967 , pp. 52 - 53
Copyright
Copyright © Royal Aeronautical Society 1967

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References

1.Clauser, F. H.Turbulent Boundary Layers in Adverse Pressure Gradients. J Aero Sci, February 1954.CrossRefGoogle Scholar
2.Schlichting, H.Boundary Layer Theory. McGraw-Hill Book Co, Inc, 1960.Google Scholar
3.Leutheusser, H. J.Turbulent Flow in Rectangular Ducts. Proc Am Soc of Civil Engrs, J Hyd Div, May 1963.Google Scholar
4.Clauser, F. H.The Turbulent Boundary Layer. Advances in Applied Mech, Vol IV. Academic Press Inc, 1956.Google Scholar
5.Schubauer, G. B. and Tchen, C. M.Turbulent Flow. Princeton Aeronautical Paperbaks, Princeton Univ Press, 1961.Google Scholar
6.Preston, J. H.The Determination of Turbulent Skin Friction by Means of Pitot Tubes. J Royal Aero Soc, Vol 58, February 1954.Google Scholar
7.Bradshaw, P.A Simple Method for Determining Turbulent Skin Friction from Velocity Profiles. J Aero Space Sci, Vol 26, p 841, 1959.Google Scholar
8.Track, H. J. and Lester, C. M. Resistance Coefficients and Velocity Distribution—Smooth Rectangular Channel. US Geological Survey, Water Supply Paper 1592-A, 1961.Google Scholar