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The turbulence problem at the level of scaling exponents is hard in part because of the multifractal scaling of small scales, which demands that each moment order be treated and understood independently. This conclusion derives from studies…

Fluid Dynamics · Physics 2019-10-09 Kartik P. Iyer , Katepalli R. Sreenivasan , P. K. Yeung

Turbulent Rayleigh-B\'enard convection displays a large-scale order in the form of rolls and cells on lengths larger than the layer height once the fluctuations of temperature and velocity are removed. These turbulent superstructures are…

Fluid Dynamics · Physics 2018-05-30 Ambrish Pandey , Janet D. Scheel , Jörg Schumacher

An unusual symmetry of the equation for the generating function of transverse velocity differences $\Delta v=v(x+r)-v(x)$ is used to obtain a closed equation for the probability density function $P(\Delta v,r)$ in strong three-dimensional…

chao-dyn · Physics 2007-05-23 Victor Yakhot

The large structures in the outer layer of turbulent wall flows are of great physical importance, because they contain a substantial fraction of the streamwise kinetic energy and of the Reynolds stresses. Nevertheless, the organization of…

Fluid Dynamics · Physics 2013-09-12 Juan C. del Alamo , Javier Jimenez

A three-layer asymptotic structure for turbulent pipe flow is proposed, revealing in terms of intermediate variables, the existence of a Reynolds-number invariant logarithmic region. It provides a theoretical foundation for addressing…

Fluid Dynamics · Physics 2021-07-01 Sourabh S. Diwan , Jonathan F. Morrison

A study of fully developed plane turbulent channel flow subject to spanwise system rotation through direct numerical simulations is presented. In order to study both the influence of the Reynolds number and spanwise rotation on channel…

Fluid Dynamics · Physics 2017-10-31 Geert Brethouwer

We determine the timescales associated with turbulent diffusion and isotropization in closure models using anisotropically forced and freely decaying turbulence simulations and to study the applicability of these models. We compare the…

Solar and Stellar Astrophysics · Physics 2012-01-11 J. E. Snellman , A. Brandenburg , P. J. Käpylä , M. J. Mantere

Since the famous work by Kolmogorov on incompressible turbulence, the structure-function theory has been a key foundation of modern turbulence study. Due to the simplicity of Burgers turbulence, structure functions are calculated to…

Fluid Dynamics · Physics 2021-03-24 Jin-Han Xie

A new experimental investigation of decaying turbulence generated by a low-blockage space-filling fractal square grid is presented. We find agreement with previous works by Seoud & Vassilicos (2007) and Mazellier & Vassilicos (2010) but…

Fluid Dynamics · Physics 2011-10-14 Pedro Valente , Christos Vassilicos

Direct Numerical Simulations of turbulent channel flows at friction Reynolds number 550, 1000, 1500, are used to analyse the turbulent production, transfer and dissipation mechanisms in the compound space of scales and wall-distances by…

Fluid Dynamics · Physics 2017-03-31 A. Cimarelli , E. De Angelis , P. Schlatter , G. Brethouwer , A. Talamelli , C. M. Casciola

We propose and verify a wave-vector-space version of generalized extended self similarity and broaden its applicability to uncover intriguing, universal scaling in the far dissipation range by computing high-order ($\leq 20\/$) structure…

chao-dyn · Physics 2009-10-28 Sujan K. Dhar , Anirban Sain , Rahul Pandit

The fluctuations of turbulence intensity in a pipe flow around the critical Reynolds number is difficult to study but important because they are related to turbulent-laminar transitions. We here propose a rare-event sampling method to study…

Fluid Dynamics · Physics 2018-02-08 Takahiro Nemoto , Alexandros Alexakis

We adapt recent ideas for many-body chaos in nonlinear, Hamiltonian fluids [Murugan \textit{et al.}, Phys. Rev. Lett. 127, 124501 (2021)] to revisit the question of the Reynolds number Re dependence of the Lyapunov exponent…

The Mellin-transforms of the next-to-leading order Wilson coefficients of the longitudinal structure function are evaluated.

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Blümlein , S. Kurth

In this paper, we analyze the scaling of velocity structure functions of turbulent thermal convection. Using high-resolution numerical simulations, we show that the structure functions scale similar to those of hydrodynamic turbulence, with…

Fluid Dynamics · Physics 2019-11-15 Shashwat Bhattacharya , Shubhadeep Sadhukhan , Anirban Guha , Mahendra K. Verma

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…

Pore-scale observation of vortical flow structures in porous media is a significant challenge in many natural and industrial systems. Vortical structure dynamics is believed to be the driving mechanism in the transition regime in porous…

Fluid Dynamics · Physics 2021-01-01 Reza M. Ziazi , James A. Liburdy

The Reynolds number dependence of the statistics of energy dissipation is investigated in a shell model of fully developed turbulence. The results are in agreement with a model which accounts for fluctuations of the dissipative scale with…

chao-dyn · Physics 2009-10-31 G. Boffetta , A. Celani , D. Roagna

Asymptotically large Reynolds number hydrodynamic turbulence is characterized by multi-scaling of moments of velocity increments and spatial derivatives. With decreasing Reynolds number toward $R_{\lambda}=R^{tr}_{\lambda}\approx 9.0$, the…

Fluid Dynamics · Physics 2020-06-22 Victor Yakhot

Under the framework of V. Yakhot [Phys.Rev.E, {\bf57}, 1737 (1998)] modelling of intermittent structure functions in fully developed turbulence and based on the experimentally supported Markovian nature of turbulence cascades [R.Friedrich…

Condensed Matter · Physics 2009-10-31 Jahanshah Davoudi , M. Reza Rahimi Tabar