Abstract
Clear differences in turbulence intensity profiles in smooth, transitional and fully rough zero-pressure gradient boundary layers are demonstrated, using the diagnostic plot (u′/U vs. U/U ∞ where u′ and U are the local fluctuating and mean velocities and U ∞ is the free-stream velocity). A wide range of published data is considered and all zero-pressure gradient boundary layers yield outer flow u′/U values which are roughly linearly related to U/U ∞ , just as for smooth walls, but with a significantly higher slope. The difference in slope is due largely to the influence of the roughness parameter (ΔU + in the usual notation) and all the data can be fitted empirically by using a modified form of the scaling, dependent only on \(\Delta U^+/U_\infty^+\). It is observed that the turbulence intensity, at a location in the outer layer where U/U ∞ is fixed, rises monotonically with increasing \(\Delta U^+/U_\infty^+\) regardless of the roughness morphology.
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Segalini, A., Örlü, R., Castro, I.P., Alfredsson, P.H. (2014). The Streamwise Turbulence Intensity – A Comparison between Smooth and Rough Wall Turbulent Boundary Layers. In: Talamelli, A., Oberlack, M., Peinke, J. (eds) Progress in Turbulence V. Springer Proceedings in Physics, vol 149. Springer, Cham. https://doi.org/10.1007/978-3-319-01860-7_16
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DOI: https://doi.org/10.1007/978-3-319-01860-7_16
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01859-1
Online ISBN: 978-3-319-01860-7
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