Abstract
Similarity will exist for both the mean velocity and the turbulent shear stress of a turbulent boundary layer if the following conditions are met: (1) The surface shear is constant. (2) The boundary layer thickness parameters vary linearly with downstream distance. (3) The flow Reynolds number approaches infinity.
These conditions may be nearly obtained in atmospheric type boundary layers. Measurements are presented from the Colorado State University Atmospheric Simulation Wind Tunnel which demonstrate the similarity. The wind-tunnel Reynolds number is from one to two orders of magnitude smaller than those of an atmospheric boundary layer.
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References
Cermak, J. E. and Arya, S. P.: 1970, ‘Problems of Atmospheric Shear Flows and Their Laboratory Simulation’,Boundary-Layer Meteorol. 1, 40–60.
Clauser, F. H.: 1956, ‘The Turbulent Boundary Layer’, inAdvances in Applied Mechanics, Vol IV, Academic Press Inc., N.Y., 1–51.
Falkner, V. M. and Skan, S. W.: 1931, ‘Solutions of the Boundary-Layer Equations’,Phil. Mag. 7th Series,12, 865–896.
Klebanoff, P. S.: 1957, ‘Characteristics of Turbulence in a Boundary Layer with Zero Pressure Gradient’, NACA TN 3178.
Ludwieg, H. and Tillman, W.: 1950, ‘Investigation of the Wall Shearing Stress in Turbulent Boundary Layer’, NACA TM 1285.
Rotta, J.: 1953, ‘On the Theory of the Turbulent Boundary Layer’, NACA TM 1344.
Sandborn, V. A. and Slogar, R. J.: 1955, ‘Study of the Momentum Distribution of Turbulent Boundary Layers in Adverse Pressure Gradients’, NACA TN 3264.
Sandborn, V. A. and Marshall, R. D.: 1965, ‘Local Isotropy in Wind Tunnel Turbulence’, Colorado State Univ. Report CER65-VAS-RDM71.
Tieleman, H. W.: 1967, ‘Viscous Region of Turbulent Boundary Layer’, Ph. D. Dissertation, Colorado State Univ., 197 pp.
Townsend, A. A.: 1956,The Structure of Turbulent Shear Flow, Cambridge Univ. Press, p. 232.
Zoric, D. L.: 1968, ‘Approach of Turbulent Boundary to Similarity’, Ph. D. Dissertation, Colorado State Univ., 203 pp.
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Zoric, D., Sandborn, V.A. Similarity of large Reynolds number boundary layers. Boundary-Layer Meteorol 2, 326–333 (1972). https://doi.org/10.1007/BF02184773
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DOI: https://doi.org/10.1007/BF02184773