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Rough-wall boundary layers: mean flow universality

Published online by Cambridge University Press:  07 August 2007

IAN P. CASTRO
IAN P. CASTRO*
Affiliation:
School of Engineering Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, UKi.castro@soton.ac.uk
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Abstract

Mean flow profiles, skin friction, and integral parameters for boundary layers developing naturally over a wide variety of fully aerodynamically rough surfaces are presented and discussed. The momentum thickness Reynolds number Reθ extends to values in excess of 47000 and, unlike previous work, a very wide range of the ratio of roughness element height to boundary-layer depth is covered (0.03 < h/δ > 0.5). Comparisons are made with some classical formulations based on the assumption of a universal two-parameter form for the mean velocity profile, and also with other recent measurements. It is shown that appropriately re-written versions of the former can be used to collapse all the data, irrespective of the nature of the roughness, unless the surface is very rough, meaning that the typical roughness element height exceeds some 50% of the boundary-layer momentum thickness, corresponding to about .

Type
Papers
Information
Journal of Fluid Mechanics , Volume 585 , 25 August 2007 , pp. 469 - 485
Copyright
Copyright © Cambridge University Press 2007

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