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Numerical studies performed with a primitive equation model on two-dimensional sinusoidal hills show that the local velocity profiles behave logarithmically to a very good approximation, from a distance from the surface of the order of the…

Chaotic Dynamics · Physics 2009-10-31 S. Besio , A. Mazzino , C. F. Ratto

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,…

Fluid Dynamics · Physics 2022-03-04 H. Mouri , J. Ito

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…

Fluid Dynamics · Physics 2023-07-10 H. Mouri , J. Ito

The classical scaling theory of turbulent parallel flow provides a framework for the description of the mean velocity profile through two functions of one variable, traditionally named law of the wall and law of the wake, and a universal…

Fluid Dynamics · Physics 2018-05-09 Paolo Luchini

Wall turbulence has a sublayer where one-point statistics, e.g., the mean velocity and the variances of some velocity fluctuations, vary logarithmically with the distance from the wall. This logarithmic scaling is found here for two-point…

Fluid Dynamics · Physics 2022-03-04 H. Mouri , T. Morinaga , T. Yagi , K. Mori

For wall turbulence, moments of velocity fluctuations are known to be logarithmic functions of the height from the wall. This logarithmic scaling is due to the existence of a characteristic velocity and to the nonexistence of any…

Fluid Dynamics · Physics 2015-12-08 H. Mouri

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…

Fluid Dynamics · Physics 2017-06-07 Paolo Luchini

The logarithmic mean-velocity profile is a key experimental and theoretical result in wall-bounded turbulence. Similarly, here we show that the topographic surface emerging between parallel zero-elevation boundaries presents an intermediate…

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…

Chaotic Dynamics · Physics 2007-05-23 T. S. Lo , Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

We perform direct numerical simulations of an unstably stratified turbulent channel flow to address the effects of buoyancy on the boundary layer dynamics and mean field quantities. We systematically span a range of parameters in the space…

Fluid Dynamics · Physics 2022-06-13 Andrea Scagliarini , Halldór Einarsson , Ármann Gylfason , Federico Toschi

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…

Fluid Dynamics · Physics 2022-09-16 Yu Cheng , Andrey Grachev , Chiel van Heerwaarden

Within wall turbulence, there is a sublayer where the mean velocity and the variance of velocity fluctuations vary logarithmically with the height from the wall. This logarithmic scaling is also known for the mean concentration of a passive…

Fluid Dynamics · Physics 2017-12-05 H. Mouri , T. Morinaga , T. Yagi , K. Mori

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,…

Fluid Dynamics · Physics 2024-11-20 Alexander J. Smits

In this work, we propose a single formula for the law of the wall, which is dubbed as the logarithmic-exponential (LOG-EXP) formula, for predicting the mean velocity profile in different regions near the wall. And then a feedforward neural…

Fluid Dynamics · Physics 2022-04-05 Fengshun Zhang , Zhideng Zhou , Xiaolei Yang , Huan Zhang

To isolate the multiscale dynamics of the logarithmic layer of wall-bounded turbulent flows, a novel numerical experiment is conducted in which the mean tangential Reynolds stress is eliminated except in a subregion corresponding to the…

Fluid Dynamics · Physics 2021-07-01 Yongseok Kwon , Javier Jimenez

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…

Fluid Dynamics · Physics 2017-08-22 Chien-chia Liu

The logarithmic velocity profile is the most important statistical law of classical turbulence affected by channel walls. This paper demonstrates numerically that the logarithmic velocity profile of a superfluid flow appears in quantum…

Other Condensed Matter · Physics 2016-01-06 Satoshi Yui , Kazuya Fujimoto , Makoto Tsubota

In-depth analyses of existing direct numerical simulations (DNS) data from various sources supported a logical and important classification of generic turbulent boundary layers (TBL), namely Type-A, -B and -C TBL, based on distribution…

Fluid Dynamics · Physics 2019-04-19 Duo Wang , Heng Li , Ting Yu , Bochao Cao , Hongyi Xu

The logarithmic law for the mean velocity in turbulent boundary layers has long provided a valuable and robust reference for comparison with theories, models, and large-eddy simulations (LES) of wall-bounded turbulence. More recently,…

Fluid Dynamics · Physics 2014-12-23 Richard J. A. M. Stevens , Michael Wilczek , Charles Meneveau

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…

Fluid Dynamics · Physics 2010-01-12 Trinh Khanh Tuoc
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