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Scaling laws and intermittency in the wall region of a turbulent flow are addressed by analyzing moderate Reynolds number data obtained by single component hot wire anemometry in the boundary layer of a flat plate. The paper aims in…

混沌动力学 · 物理学 2009-11-07 B. Jacob , A. Olivieri , C. M. Casciola

The symmetry-based turbulence theory has been used to derive new scaling laws for the streamwise velocity and temperature moments of arbitrary order. For this, it has been applied to an incompressible turbulent channel flow driven by a…

Turbulent flows, ubiquitous in nature and engineering, comprise fluctuations over a wide range of spatial and temporal scales. While flows with fluctuations in thermodynamic variables are much more common, much less is known about these…

流体动力学 · 物理学 2020-09-02 Diego A. Donzis , John Panickacheril John

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…

流体动力学 · 物理学 2018-05-09 Paolo Luchini

We study a model of fully developed turbulence of a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group. In this approach, scaling properties are related to the fixed…

统计力学 · 物理学 2017-04-21 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský

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

We expose a hidden scaling symmetry of the Navier-Stokes equations in the limit of vanishing viscosity, which stems from dynamical space-time rescaling around suitably defined Lagrangian scaling centers. At a dynamical level, the hidden…

流体动力学 · 物理学 2022-02-16 Alexei A. Mailybaev , Simon Thalabard

Abrupt transition to turbulence may occur in pipe and channel flows at moderate flow rates, an unexpected event according to linear stability theory, and has been an open problem in fluid dynamics for more than a century. Extensive…

流体动力学 · 物理学 2017-10-09 Jianjun Tao , Xiangming Xiong

A rapid predictive tool based on the linearised Reynolds-averaged Navier-Stokes equations is proposed in this work to investigate secondary currents generated by streamwise-independent surface topography modulations in turbulent channel…

流体动力学 · 物理学 2022-07-13 Gerardo Zampino , Davide Lasagna , Bharathram Ganapathisubramani

In this article we address flow problems that carry a multiscale character in time. In particular we consider the Navier-Stokes flow in a channel on a fast scale that influences the movement of the boundary which undergoes a deformation on…

数值分析 · 数学 2020-08-11 Stefan Frei , Thomas Richter

Experiments in an extraordinary turbulent boundary layer called the sink flow, displaying a perfect streamwise invariance, show a wide extent of logarithmic scaling for moments of streamwise velocity up to order 12, even at moderate…

流体动力学 · 物理学 2015-11-11 Shivsai Ajit Dixit , O. N. Ramesh

We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid turbulence, and estimate the scale at which they become important. As anticipated by Betchov in a prescient series of works more than six decades…

流体动力学 · 物理学 2021-11-18 Gregory Eyink , Dmytro Bandak , Nigel Goldenfeld , Alexei A. Mailybaev

This paper concerns spectral instability of shear flows in the incompressible Navier-Stokes equations with sufficiently large Reynolds number: $R\to \infty$. It is well-documented in the physical literature, going back to Heisenberg, C.C.…

偏微分方程分析 · 数学 2014-02-07 Emmanuel Grenier , Yan Guo , Toan Nguyen

Intermittent turbulent-laminar patterns characterize the transition to turbulence in pipe, plane Couette and plane channel flows. The time evolution of turbulent-laminar bands in plane channel flow is studied via direct numerical…

流体动力学 · 物理学 2020-09-02 Sébastien Gomé , Laurette S. Tuckerman , Dwight Barkley

Near-wall turbulent velocities in turbulent channel flows are decomposed into small-scale and large-scale components at $y^+<100$ by improving the predictive inner-outer model of Baars et al. [Phys. Rev. Fluids 1, 054406 (2016)], where…

流体动力学 · 物理学 2021-04-16 Limin Wang , Ruifeng Hu , Xiaojing Zheng

We adopt an input-output approach to analyze the effect of persistent white-in-time structured stochastic base flow perturbations on the mean-square properties of the linearized Navier-Stokes equations. Such base flow variations enter the…

流体动力学 · 物理学 2022-07-11 Dhanushki Hewawaduge , Armin Zare

For low enough flow rates, turbulent channel flow displays spatial modulations of large wavelengths. This phenomenon has recently been interpreted as a linear instability of the turbulent flow. We question here the ability of linear…

流体动力学 · 物理学 2024-06-21 P. V. Kashyap , Y. Duguet , O. Dauchot

We study the mechanism of energy injection from the mean flow to the fluctuating velocity necessary to maintain wall turbulence. This process is believed to be correctly represented by the linearized Navier--Stokes equations, and three…

流体动力学 · 物理学 2019-02-15 Adrián Lozano-Durán , Michael Karp , Navid. C. Constantinou

It has previously been shown that by increasing the Reynolds number across a channel by spatially varying the viscosity does not cause an immediate change in the size of turbulent structures and a delay is in fact observed in both wall…

流体动力学 · 物理学 2021-06-11 Victor Coppo Leite , Elia Merzari

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