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Quasi-steady quasi-homogeneous description of the scale interactions in near-wall turbulence

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Title: Quasi-steady quasi-homogeneous description of the scale interactions in near-wall turbulence
Authors: Zhang, C
Chernyshenko, SI
Item Type: Journal Article
Abstract: By introducing a notion of an ideal large-scale filter, a formal statement is given of the hypothesis of the quasi-steady quasi-homogeneous nature of the interaction between the large and small scales in the near-wall part of turbulent flows. This made the derivations easier and more rigorous. A method is proposed to find the optimal large-scale filter by multi-objective optimization, with the first objective being a large correlation between large-scale fluctuations near the wall and in the layer at a certain finite distance from the wall, and the second objective being a small correlation between the small scales in the same layers. The filter was demonstrated to give good results. Within the quasi-steady quasi-homogeneous theory expansions for various quantities were found with respect to the amplitude of the large-scale fluctuations. Including the higher-order terms improved the agreement with numerical data. Interestingly, it turns out that the quasi-steady quasi-homogeneous theory implies a dependence of the mean profile log-law constants on the Reynolds number. The main overall result of the present work is the demonstration of the relevance of the quasi-steady quasi-homogeneous theory for near-wall turbulent flows.
Issue Date: 25-May-2016
Date of Acceptance: 29-Mar-2016
URI: http://hdl.handle.net/10044/1/30997
DOI: 10.1103/PhysRevFluids.1.014401
ISSN: 2469-990X
Publisher: American Physical Society
Journal / Book Title: Physical Review Fluids
Volume: 1
Issue: 1
Copyright Statement: ©2016 American Physical Society
Keywords: Science & Technology
Physical Sciences
Physics, Fluids & Plasmas
0102 Applied Mathematics
0203 Classical Physics
0913 Mechanical Engineering
Publication Status: Published
Article Number: 014401
Online Publication Date: 2016-05-25
Appears in Collections:Aeronautics
Faculty of Engineering