Self-similarity in the outer region of adverse-pressure-gradient turbulent boundary layers

被引：0
|
作者：
Maciel, Yvan [1 ,2 ,3 ]
Rossignol, Karl-Stéphane [1 ,2 ,3 ]
Lemay, Jean [1 ,2 ,3 ]
机构：
[1] Laval University, Quebec City, Que. G1K 7P4, Canada
[2] Department of Mechanical Engineering
[3] AIAA
来源：
AIAA Journal | 2006年 / 44卷 / 11期
关键词：
This paper presents a consistent theory of self-similarity and of equilibrium in the outer region of turbulent boundary layers that explains recent experimental findings on the subject; including new ones presented here. The theory is first presented in a general form where the outer scales are left unspecified and it is not assumed that the mean velocity defect and the Reynolds stresses share a common velocity scale. It is shown that the main results of the traditional similarity theory remain valid even in this case. Common outer scaling with the Zagarola-Smits length and velocity scales is then chosen. A new pressure gradient parameter is introduced to characterize the local effect of the pressure gradient in all flow conditions including strong adverse-pressure-gradient conditions. By analyzing several adverse-pressure- gradient flow cases; it is shown that self-similarity of the mean velocity defect profile is reached in all cases in localized but significant flow regions. The same is; however; not true of the Reynolds stress profiles. In agreement with the similarity analysis; the self-similar velocity defect profile is found to be a function of the pressure gradient and most flows studied here are only in an approximate state of equilibrium in the region of self-similar defect profiles despite the excellent collapse of the profiles. Copyright © 2006 by the American Institute of Aeronautics and Astronautics; Inc. All rights reserved;
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页码：2450 / 2464
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