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The experiments by Darbyshire and Mullin (J. Fluid Mech. 289, 83 (1995)) on the transition to turbulence in pipe flow show that there is no sharp border between initial conditions that trigger turbulence and those that do not. We here…

Fluid Dynamics · Physics 2009-11-10 Holger Faisst , Bruno Eckhardt

In this paper, we study the back flow of the two-dimensional unsteady Prandtl boundary layer under an adverse pressure gradient. The occurrence of back flow is an important physical event in the evolution of boundary layer, which eventually…

Analysis of PDEs · Mathematics 2019-08-27 Ya-Guang Wang , Shi-Yong Zhu

An experiment was performed using SPIV in the LMFL boundary layer facility to determine all the derivative moments needed to estimate the average dissipation rate of the turbulence kinetic energy, $\varepsilon = 2 \nu \langle s_{ij}s_{ij}…

Wall-pressure fluctuations beneath turbulent boundary layers drive noise and structural fatigue through interactions between fluid and structural modes. Conventional predictive models for the spectrum--such as the widely accepted Goody…

Fluid Dynamics · Physics 2026-04-17 Jonathan M. O. Massey , Alexander J. Smits , Beverley J. McKeon

A Particle Tracking Velocimetry experiment has been performed in a turbulent flow at intermediate Reynolds number. We present experimentally obtained stretching rates for particle pairs in the inertial range. When compensated by a…

Fluid Dynamics · Physics 2007-05-23 J. Berg , B. Luthi , S. Ott , J. Mann

We propose a generalized perspective on the behavior of high-order derivative moments in turbulent shear flows by taking account of the roles of small-scale intermittency and mean shear, in addition to the Reynolds number. Two asymptotic…

Chaotic Dynamics · Physics 2009-11-07 J. Schumacher , K. R. Sreenivasan , P. K. Yeung

Global stability analysis and direct numerical simulation (DNS) are performed to study boundary layer flows with an isolated roughness element. Wall-attached cuboids with aspect ratios $\eta=1$ and $\eta=0.5$ are investigated for fixed…

Fluid Dynamics · Physics 2022-10-05 Rong Ma , Krishnan Mahesh

Under action of free-stream turbulence (FST), elongated streamwise streaky structures are generated inside the boundary layer, and their amplitude and wavelength are crucial for the transition onset. While turbulence intensity is strongly…

Numerical simulations are made for forced turbulence at a sequence of increasing values of Reynolds number, R, keeping fixed a strongly stable, volume-mean density stratification. At smaller values of R, the turbulent velocity is mainly…

Fluid Dynamics · Physics 2016-09-08 Jean-Philippe Laval , James C. McWilliams

Iterative coarse-graining procedure based on Wyld's perturbation expansion is applied to the problem of Navier-Stokes turbulence. It is shown that the low-order calculation gives the fixed-point Reynolds number $ Re_{fp}$ (coupling…

Fluid Dynamics · Physics 2013-08-21 Victor Yakhot

Intermittency of energy dissipation has long been studied via high-order moments in homogeneous and isotropic turbulence, but not much where the boundary effects are explicitly included. Here, we derive two fundamental Reynolds number…

Fluid Dynamics · Physics 2025-12-11 Peng-Yu Duan , Xi Chen , Katepalli R. Sreenivasan

The low-frequency unsteady motions behind a backward-facing step (BFS) in a turbulent flow at $Ma=1.7$ and $Re_\infty=1.3718\times 10^5$ is investigated using a well-resolved large-eddy simulation (LES). The instantaneous flow field…

Fluid Dynamics · Physics 2021-04-21 Weibo Hu , Stefan Hickel , Bas W. van Oudheusden

At sufficiently high Reynolds numbers, shear-flow turbulence close to a wall acquires universal properties. When length and velocity are rescaled by appropriate characteristic scales of the turbulent flow and thereby measured in \emph{inner…

Fluid Dynamics · Physics 2020-03-18 Sajjad Azimi , Tobias M. Schneider

Microscale turbulent flow in porous media is conducive to the development of flow instabilities due to strong vortical and shearing flow occurring within the pore space. When the flow instabilities around individual solid obstacles interact…

Fluid Dynamics · Physics 2025-04-03 Vishal Srikanth , Andrey V. Kuznetsov

Recently it has been shown that when an equation that allows so-called pulled fronts in the mean-field limit is modelled with a stochastic model with a finite number $N$ of particles per correlation volume, the convergence to the speed…

Statistical Mechanics · Physics 2009-11-07 Debabrata Panja

At large scales, the Reynolds stress tensor exhibits notable anisotropy, a key feature of all wall-bounded turbulent flows. Yet, how the drivers of this anisotropy evolve with shearing and thermal stratification in the atmospheric surface…

Fluid Dynamics · Physics 2025-12-04 Ivana Stiperski , Gabriel G. Katul , Elie Bou-Zeid , Marc Calaf

In this study we analyze the phase and group velocity of three-dimensional linear traveling waves in two sheared flows, the plane channel and the wake flows. This was carried out by varying the wave number over a large interval of values at…

Fluid Dynamics · Physics 2016-03-23 Francesca De Santi , Federico Fraternale , Daniela Tordella

We simulate the head-on collision between vortex rings with circulation Reynolds numbers of 4000 using an adaptive, multiresolution solver based on the lattice Green's function. The simulation fidelity is established with integral metrics…

Fluid Dynamics · Physics 2024-03-07 Rahul Arun , Tim Colonius

Multiscale statistical analyses of inertial particle distributions are presented to investigate the statistical signature of clustering and void regions in particle-laden incompressible isotropic turbulence. Three-dimensional direct…

Fluid Dynamics · Physics 2021-06-16 Keigo Matsuda , Kai Schneider , Katsunori Yoshimatsu

Transitional localised turbulence in shear flows is known to either decay to an absorbing laminar state or proliferate via splitting. The average passage times from one state to the other depend super-exponentially on the Reynolds number…

Fluid Dynamics · Physics 2022-05-12 S. Gomé , L. S. Tuckerman , D. Barkley