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Scaling turbulence in the near-wall region

TLDR
In this paper, a new velocity scale was derived that yields a Reynolds number independent profile for the streamwise turbulent fluctuations in the near-wall region of wall bounded flows for $y^+ < 25.
Abstract
A new velocity scale is derived that yields a Reynolds number independent profile for the streamwise turbulent fluctuations in the near-wall region of wall bounded flows for $y^+<25$. The scaling demonstrates the important role played by the wall shear stress fluctuations and how the large eddies determine the Reynolds number dependence of the near-wall turbulence distribution.

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Citations
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Reynolds stress scaling in the near-wall region of wall-bounded flows

TL;DR: In this paper, a new scaling was derived that yields a Reynolds-number independent profile for all components of the Reynolds stress in the near-wall region of wall-bounded flows, including channel, pipe and boundary layer flows.
Posted Content

Asymptotics of stream-wise Reynolds stress in wall turbulence

TL;DR: In this paper, Chen and Sreenivasan (2021) extracted two terms of the inner asymptotic expansion of a stream-wise normal stress profile in the small parameter $Re_\tau^{-1/4}$ from a set of direct numerical simulations (DNS) of channel flow.
Posted Content

Reynolds stress scaling in the near-wall region

TL;DR: In this article, a new scaling is derived that yields a Reynolds number independent profile for all components of the Reynolds stress in the near-wall region of wall bounded flows, demonstrating the important role played by the wall shear stress fluctuations and how the large eddies determine the Reynolds number dependence of the nearwall turbulence behavior.
Journal ArticleDOI

Reynolds stress scaling in the near-wall region of wall-bounded flows

TL;DR: In this article, a new scaling is derived that yields a Reynolds number independent profile for all components of the Reynolds stress in the near-wall region of wall bounded flows, including channel, pipe and boundary layer flows.
References
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Direct numerical simulation of turbulent channel flow up to

TL;DR: In this paper, a direct numerical simulation of incompressible channel flow at a friction Reynolds number of 5186 has been performed, and the flow exhibits a number of the characteristics of high-Reynolds-number wall-bounded turbulent flows.
Journal ArticleDOI

Mean-flow scaling of turbulent pipe flow

TL;DR: In this article, a new friction factor relation is proposed which is within ± 1.2% of the data for Reynolds numbers between 10×103 and 35×106, and includes a term to account for the near-wall velocity profile.
Journal ArticleDOI

Reynolds-number scaling of the flat-plate turbulent boundary layer

TL;DR: In this article, the authors used a low-speed, high-Reynolds-number facility and a high-resolution laser-Doppler anemometer to measure Reynolds stresses for a flat-plate turbulent boundary layer from Reθ = 1430 to 31 000.
Journal ArticleDOI

Scaling of the energy spectra of turbulent channels

TL;DR: In this paper, the spectra and correlations of the velocity fluctuations in turbulent channels, especially above the buffer layer, were analyzed using direct numerical simulations with friction Reynolds numbers up to Re at very large ones.
Journal ArticleDOI

Predictive Model for Wall-Bounded Turbulent Flow

TL;DR: A mathematical model is proposed to predict the near-wall turbulence given only large-scale information from the outer boundary layer region, which may enable new strategies for the control of turbulence and may provide a basis for improved engineering and weather prediction simulations.
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