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The pseudorapidity dependence of elliptic ($v_2$), triangular ($v_3$), and quadrangular ($v_4$) flow coefficients of charged particles measured in Pb-Pb collisions at a centre-of-mass energy per nucleon pair of $\sqrt{s_{\rm NN}}=5.02$ TeV…

Nuclear Experiment · Physics 2024-04-15 ALICE Collaboration

The variances of the fluid-particle acceleration and of the pressure-gradient and viscous force are given. The scaling parameters for these variances are velocity statistics measureable with a single-wire anemometer. For both high and low…

Fluid Dynamics · Physics 2019-06-19 Reginald J. Hill

The numerical experiments of turbulence conducted by Gotoh et al. are analyzed precisely with the help of the formulae for the scaling exponents of velocity structure function and for the probability density function (PDF) of velocity…

Statistical Mechanics · Physics 2009-11-07 T. Arimitsu , N. Arimitsu

Experiments in a modified Taylor-Couette device, spanning Reynolds numbers of $10^5$ to greater than $10^6$, reveal the nonlinear stability of astrophysically-relevant flows. Nearly ideal rotation, expected in the absence of axial…

Instrumentation and Methods for Astrophysics · Physics 2014-03-04 Eric M. Edlund , Hantao Ji

We experimentally study the properties of mean and most probable velocity fields in a turbulent von K\'arm\'an flow. These fields are found to be described by two families of functions, as predicted by a recent statistical mechanics study…

Statistical Mechanics · Physics 2009-11-11 R. Monchaux , F. Ravelet , B. Dubrulle , A. Chiffaudel , F. Daviaud

A granular material is observed to flow under the Coulomb yield criterion as soon as this criterion is satisfied in a remote but contiguous region of space. We investigate this non-local effect using discrete element simulations, in a…

Soft Condensed Matter · Physics 2015-01-28 Mehdi Bouzid , Martin Trulsson , Philppe Claudin , Eric Clément , Bruno Andreotti

Results from Direct Numerical Simulations of particle relative dispersion in three dimensional homogeneous and isotropic turbulence at Reynolds number $Re_\lambda \sim 300$ are presented. We study point-like passive tracers and heavy…

Fluid Dynamics · Physics 2015-02-19 L. Biferale , A. S. Lanotte , R. Scatamacchia , F. Toschi

Studies of the relation between the shear parameter S^* and the Reynolds number Re are presented for a nearly homogeneous and statistically stationary turbulent shear flow. The parametric investigations are in line with a generalized…

Chaotic Dynamics · Physics 2009-11-10 Joerg Schumacher

We interpret measurements of the Reynolds number dependence of the torque in Taylor-Couette flow by Lewis and Swinney [Phys. Rev. E 59, 5457 (1999)] and of the pressure drop in pipe flow by Smits and Zagarola, [Phys. Fluids 10, 1045 (1998)]…

Chaotic Dynamics · Physics 2009-10-31 Bruno Eckhardt , Siegfried Grossmann , Detlef Lohse

The nonextensitivity parameter $q$ occuring in some of the applications of Tsallis statistics (known also as index of the corresponding L\'evy distribution) is shown to be given, in $q>1$ case, entirely by the fluctuations of the parameters…

High Energy Physics - Phenomenology · Physics 2011-05-05 G. Wilk , Z. Wlodarczyk

According to modern developments in turbulence theory, the "dissipation" scales (u.v. cut-offs) $\eta$ form a random field related to velocity increments $\delta_{\eta}u$. In this work we, using Mellin's transform combined with the Gaussain…

Fluid Dynamics · Physics 2009-11-11 Victor Yakhot

Using high-resolution particle image velocimetry we measure velocity profiles, the wind Reynolds number and characteristics of turbulent plumes in Taylor-Couette flow for a radius ratio of 0.5 and Taylor number of up to $6.2\cdot10^9$. The…

Direct numerical simulations of a Couette Poiseuille flow were performed near the transition to turbulence to investigate the nonlinear relationship between streak waviness and rolls. This relationship is a key step in Waleffe's model for a…

We derive the velocity profiles in strongly turbulent Taylor-Couette flow for the general case of independently rotating cylinders. The theory is based on the Navier-Stokes equations in the appropriate (cylinder) geometry. In particular, we…

Fluid Dynamics · Physics 2015-06-17 Siegfried Grossmann , Detlef Lohse , Chao Sun

We consider equilibrium statistics for high Reynolds number isotropic turbulence in an incompressible flow driven by steady forcing at the largest scale. Motivated by shell model observations, we develop a similarity theory for the inertial…

Fluid Dynamics · Physics 2007-05-23 Mogens V. Melander , Bruce R. Fabijonas

We investigate the linear instability of flows that are stable according to Rayleigh's criterion for rotating fluids. Using Taylor-Couette flow as a primary test case, we develop large Reynolds number matched asymptotic expansion theories.…

Fluid Dynamics · Physics 2025-03-12 Kengo Deguchi , Ming Dong

An experimental study was conducted in the CICLoPE long-pipe facility to investigate the correlation between wall-pressure and turbulent velocity fluctuations in the logarithmic region, at high friction Reynolds numbers ($4\,794 \lesssim…

The way the increment statistics of turbulent velocity fluctuations scale with the increment size is a centerpiece of turbulence theories. We report data on decaying turbulence in the Max Planck Variable Density Turbulence Tunnel (VDTT),…

Fluid Dynamics · Physics 2022-03-07 Christian Küchler , Eberhard Bodenschatz , Gregory P. Bewley

We derive a formula for the P\'eclet number ($\mathrm{Pe}$) by estimating the relative strengths of various terms of the momentum equation. Using direct numerical simulations in three dimensions we show that in the turbulent regime, the…

Fluid Dynamics · Physics 2016-11-29 Ambrish Pandey , Mahendra K. Verma

We relate the intermittent fluctuations of velocity gradients in turbulence to a whole range of local dissipation scales generalizing the picture of a single mean dissipation length. The statistical distribution of these local dissipation…

Fluid Dynamics · Physics 2007-10-29 Joerg Schumacher