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Velocity profiles and fence drag for a turbulent boundary layer along smooth and rough flat plates

Published online by Cambridge University Press:  11 April 2006

K. G. Ranga Raju
Affiliation:
Institut Wasserbau III, University of Karlsruhe, Germany Present address: Department of Civil Engineering, University of Roorkee, Roorkee (U.P.), India.
J. Loeser
Affiliation:
Institut Wasserbau III, University of Karlsruhe, Germany
E. J. Plate
Affiliation:
Institut Wasserbau III, University of Karlsruhe, Germany

Abstract

The properties of a turbulent boundary layer were investigated as they relate to the form drag on a two-dimensional fence. Detailed measurements were performed at zero pressure gradient of velocity profiles along smooth, rough and transitional flat plates. Upon comparison with other published data, these measurements resulted in simple formulae for the displacement thickness and the local shear coefficient and in a modification to the universal velocity defect law for equilibrium boundary layers.

With these boundary layers, experiments were performed to determine the drag on a two-dimensional fence. These data were analysed along with data from previous investigations. It was found that after suitable blockage corrections all form-drag coefficients for two-dimensional fences collapsed on a single curve if they were calculated with the shear velocity as the reference velocity and plotted against the ratio of the fence height to the characteristic roughness parameter of the approaching flow.

Type
Research Article
Copyright
© 1976 Cambridge University Press

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References

Aris, M. & Rouse, H. 1956 J. Fluid Mech. 1, 129.
Clauser, F. H. 1956 Adv. Appl. Mech. 4, 16.
Coles, D. 1956 J. Fluid Mech. 1, 191.
Good, M. C. & Joubert, P. N. 1968 J. Fluid Mech. 31, 547.
Jensen, M. & Franck, N. 1965 Model Scale Tests in Turbulent Grid, parts I and II. Copenhagen: Danish Technical Press.
Maskell, E. C. 1963 Aero. Res. Counc. R. & M. no. 3400.
Plate, E. J. 1964 A.S.M.E. Paper, no. 64-FE-17.
Plate, E. J. 1971 J. Agr. Met. 8, 203.
Ranga Raju, K. G. 1967 Ph.D. thesis, University of Roorkee, Roorkee, India.
Ranga Raju, K. G. & Garde, R. J. 1970 A.S.M.E. J. Basic Engng. 92, 21.
Rotta, J. C. 1962 Prog. Aero. Sci. 2, 5.
Schlichting, H. 1968 Boundary Layer Theory, 6th edn. McGraw-Hill.
Smith, D. W. & Walker, J. H. 1958 N.A.C.A. Tech. Note, no. 4231.