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For nearly a century the universal logarithmic behaviour of the mean velocity profile in a parallel flow was a mainstay of turbulent fluid mechanics and its teaching. Yet many experiments and numerical simulations are not fit exceedingly…

流体动力学 · 物理学 2017-06-07 Paolo Luchini

A uniform representation of the mean turbulent velocity profile in the sum of a wall function and a wake function is applied to an open channel, quantitatively determining its components. The open channel is thus found to coherently fit in…

流体动力学 · 物理学 2024-01-26 Paolo Luchini

It is well known that in a neutrally-stratified turbulent flow in a deep constant-stress layer above a flat surface, the variation of the mean velocity with respect to the distance from the surface obeys the logarithmic law (the so-called…

流体动力学 · 物理学 2009-11-07 S. Besio , A. Mazzino , C. F. Ratto

Scaling of the mean velocity profiles has been studied by many researchers, since it provides a template of universal dynamical patterns across a range of Reynolds numbers. Various normalization schemes have been shown in the past, some…

流体动力学 · 物理学 2024-12-04 T. -W. Lee

Wall turbulence has a sublayer where the mean wall-normal flux of the streamwise momentum is constant. Via the law of the wall, this mean flux is related to the wall-normal profile of the mean streamwise velocity. However, the momentum flux…

流体动力学 · 物理学 2023-07-10 H. Mouri , J. Ito

The problem of discerning key features of steady turbulent flow adjacent to a wall has drawn the attention of some of the most noted fluid dynamicists of all time. Standard examples of such features are found in the mean velocity profiles…

流体动力学 · 物理学 2023-01-23 Paul C. Fife

Turbulence remains an unsolved multidisciplinary science problem. As one of the most well-known examples in turbulent flows, knowledge of the logarithmic mean velocity profile (MVP), so called the log law of the wall, plays an important…

流体动力学 · 物理学 2017-08-22 Chien-chia Liu

A new wall-wake law is proposed for the streamwise turbulence in the outer region of a turbulent boundary layer. The formulation pairs the logarithmic part of the profile (with a slope A_1 and additive constant B_1) to an outer linear part,…

流体动力学 · 物理学 2024-11-20 Alexander J. Smits

A celebrated universal aspect of wall-bounded turbulent flows is the von Karman log-law-of-the-wall, describing how the mean velocity in the streamwise direction depends on the distance from the wall. Although the log-law is known for more…

混沌动力学 · 物理学 2007-05-23 T. S. Lo , Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

We report a theory deriving bulk flow scaling for canonical wall-bounded flows. The theory accounts for the symmetries of boundary geometry (flat plate channel versus circular pipe) by a variational calculation for a large-scale energy…

流体动力学 · 物理学 2016-09-21 Xi Chen , Fazle Hussain , Zhen-Su She

The universal velocity log law first proposed by von K\'arm\'an in the near-wall region of turbulent shear flows is one of the cornerstones of turbulence theory. When buoyancy effects are important, the universal velocity log law is…

流体动力学 · 物理学 2022-09-16 Yu Cheng , Andrey Grachev , Chiel van Heerwaarden

Within wall turbulence, there is a sublayer where the mean wall-normal flux of the streamwise momentum is constant and related to the logarithmic wall-normal profile of the mean streamwise velocity. This relation, i.e., the law of the wall,…

流体动力学 · 物理学 2022-03-04 H. Mouri , J. Ito

This work analyzes the turbulent velocity distribution in proximity of the wall using the finite-scale Lyapunov theory just presented in previous works. This theory is here applied to the steady boundary layer under the hypothesis of…

流体动力学 · 物理学 2012-10-03 Nicola de Divitiis

Studies in the literature on plane turbulent wall jets on flat surfaces, have invariably considered either the nozzle initial conditions or the asymptotic conditions far downstream, as scaling parameters for the streamwise variations of…

流体动力学 · 物理学 2021-11-04 Abhishek Gupta , Harish Choudhary , A. K. Singh , Thara Prabhakaran , Shivsai Ajit Dixit

It is argued that there are three distinct zones in a wall bounded turbulent flow field dominated by three completely different mechanisms: - An outer region where the velocity profile is determined by the pressure distribution - A highly…

流体动力学 · 物理学 2010-01-12 Trinh Khanh Tuoc

Modeling of wall-bounded turbulent flows is still an open problem in classical physics, with only modest progress made in the last few decades beyond the so-called `log law', which describes only the intermediate region in wall-bounded…

流体动力学 · 物理学 2018-08-31 Fangying Song , George Em Karniadakis

We discover unified scaling laws for the mean wall shear stress and the mean velocity profile in turbulent boundary layers subject to favorable and adverse mean pressure gradients-including flows with separation and reattachment. We use the…

流体动力学 · 物理学 2026-04-14 Gonzalo Arranz , Adrian Lozano-Duran

In this Letter we suggest a simple and physically transparent analytical model of the pressure driven turbulent wall-bounded flows at high but finite Reynolds numbers Re. The model gives accurate qualitative description of the profiles of…

混沌动力学 · 物理学 2009-02-18 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

The discovery of the law of the wall, the log-law including the von Karman constant, is seen to be one of the biggest accomplishments of fluid mechanics. However, after more than ninety years there is still a controversial debate about the…

流体动力学 · 物理学 2024-12-02 Stefan Heinz

Wall-bounded turbulent flows are widely observed in natural and engineering systems, such as air flows near the Earth's surface, water flows in rivers, and flows around a car or a plane. The universal logarithmic velocity profile in…

流体动力学 · 物理学 2021-03-17 Yu Cheng , Qi Li , Pierre Gentine
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