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Rough-wall boundary layers: mean flow universality

Rough-wall boundary layers: mean flow universality
Rough-wall boundary layers: mean flow universality
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 Re? extends to values in excess of 47 000 and, unlike previous work, a very wide range of the ratio of toughness element height to boundary-layer depth is covered (0.03 < h/? < 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 h/? >0.2.
0022-1120
469-485
Castro, I.P.
66e6330d-d93a-439a-a69b-e061e660de61
Castro, I.P.
66e6330d-d93a-439a-a69b-e061e660de61

Castro, I.P. (2007) Rough-wall boundary layers: mean flow universality. Journal of Fluid Mechanics, 585, 469-485. (doi:10.1017/S0022112007006921).

Record type: Article

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 Re? extends to values in excess of 47 000 and, unlike previous work, a very wide range of the ratio of toughness element height to boundary-layer depth is covered (0.03 < h/? < 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 h/? >0.2.

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Submitted date: August 2007
Published date: August 2007

Identifiers

Local EPrints ID: 47131
URI: http://eprints.soton.ac.uk/id/eprint/47131
ISSN: 0022-1120
PURE UUID: 7db21a10-d9ff-41a4-954b-5b556121e83f

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Date deposited: 06 Aug 2007
Last modified: 15 Mar 2024 09:32

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