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A note on velocity-profile similarity of turbulent boundary layers with negligible wall stress

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Summary

The velocity profiles of a turbulent boundary layer with zero skin friction throughout its region of pressure rise, measured by Stratford in 1959, are analyzed in terms of a law of the wall and a velocity-defect law with a common velocity scale and a logarithmic velocity profile in the region of overlap. The analysis deviates from earlier work by Stratford and Townsend. It is shown that the flow in Stratford's boundary layer, even at the largest value of x 1 at which measurements were taken, is not yet in a state of equilibrium. The velocity scale for turbulent boundary layers with zero skin friction is proportional to the cube root of the pressure gradient.

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Author notes

  1. H. Tennekes

    Present address: Department of Aeronautical Engineering, Pennsylvania State University, University Park, Pennsylvania, USA

Authors and Affiliations

  1. Department of Aeronautical Engineering, Technological University Delft, the Netherlands

    H. Tennekes

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  1. H. Tennekes
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Tennekes, H. A note on velocity-profile similarity of turbulent boundary layers with negligible wall stress. Appl. sci. Res. 15, 232–240 (1966). https://doi.org/10.1007/BF00411559

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  • DOI: https://doi.org/10.1007/BF00411559

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