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Mean flow scaling along smooth and rough wall boundary layers

Mean flow scaling along smooth and rough wall boundary layers Abstract Effects of the upstream conditions and the degree of the wall roughness on the mean velocity profiles and some integral flow parameters in two dimensional zero-pressure-gradient boundary layer were characterized experimentally. The results were analyzed utilizing conventional and recent scaling flow parameters for 245< Re θ ≤ 11·103, where Re θ is the Reynolds number based on the free stream velocity (Ū ∞) and the momentum thickness (θ). Good correlation of the quantity ΔŪ + as a function of the roughness parameter k + was obtained for sand roughness of 1.7 < k + ≤ 172, revealing a universality of the roughness effect, where ΔŪ + = = (Ū ∞ − Ū)/u τ and K + = ku τ /v.The mean flow structure of the outer flow was observed not to be influenced by the degree of the wall roughness, i. e., the outer flow of either the smooth or the rough surfaces scales similarly with the various scaling parameters regardless the degree of the wall roughness. However, it made flow confined to the wall region away from the classical universality, allowing similarity hypothesis not to be identical in the wall region at least for the current range of the Reynolds number. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Thermophysics and Aeromechanics Springer Journals

Mean flow scaling along smooth and rough wall boundary layers

Zanoun, E. -S.
Thermophysics and Aeromechanics , Volume 17 (1): 18 – Mar 1, 2010
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References (51)

Publisher
Springer Journals
Copyright
2009 Pleiades Publishing, Ltd.
ISSN
0869-8643
eISSN
1531-8699
DOI
10.1134/S0869864310010038
Publisher site
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Abstract

Abstract Effects of the upstream conditions and the degree of the wall roughness on the mean velocity profiles and some integral flow parameters in two dimensional zero-pressure-gradient boundary layer were characterized experimentally. The results were analyzed utilizing conventional and recent scaling flow parameters for 245< Re θ ≤ 11·103, where Re θ is the Reynolds number based on the free stream velocity (Ū ∞) and the momentum thickness (θ). Good correlation of the quantity ΔŪ + as a function of the roughness parameter k + was obtained for sand roughness of 1.7 < k + ≤ 172, revealing a universality of the roughness effect, where ΔŪ + = = (Ū ∞ − Ū)/u τ and K + = ku τ /v.The mean flow structure of the outer flow was observed not to be influenced by the degree of the wall roughness, i. e., the outer flow of either the smooth or the rough surfaces scales similarly with the various scaling parameters regardless the degree of the wall roughness. However, it made flow confined to the wall region away from the classical universality, allowing similarity hypothesis not to be identical in the wall region at least for the current range of the Reynolds number.

Journal

Thermophysics and Aeromechanics – Springer Journals

Published: Mar 1, 2010

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