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The methods of conformal field theory are used to obtain the series of exact solutions of the fundamental equations of the theory of turbulence. The basic conjecture, proved to be self-consistent ,is the conformal invariance of the inertial…

高能物理 - 理论 · 物理学 2009-10-22 A. M. Polyakov

Direct numerical simulations are used to investigate the individual dynamics of large spherical particles suspended in a developed homogeneous turbulent flow. A definition of the direction of the particle motion relative to the surrounding…

流体动力学 · 物理学 2015-06-16 Mamadou Cisse , Holger Homann , Jeremie Bec

A stochastic version of an inviscid dyadic model of turbulence, with multiplicative noise, is proved to exhibit energy dissipation in spite of the formal energy conservation. As a consequence, global regular solutions cannot exist. After…

概率论 · 数学 2012-02-22 David Barbato , Franco Flandoli , Francesco Morandin

We study the transition from laminar flow to fully developed turbulence for an inertially-driven von Karman flow between two counter-rotating large impellers fitted with curved blades over a wide range of Reynolds number (100 - 1 000 000).…

流体动力学 · 物理学 2008-03-17 Florent Ravelet , Arnaud Chiffaudel , Francois Daviaud

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…

天体物理仪器与方法 · 物理学 2014-03-04 Eric M. Edlund , Hantao Ji

Turbulent relative dispersion is studied theoretically with a focus on the evolution of probability distribution of the relative separation of two passive particles. A finite separation speed and a finite correlation of relative velocity,…

混沌动力学 · 物理学 2007-05-23 Takeshi Ogasawara , Sadayoshi Toh

The turbulent transport of angular momentum plays an important role in many astrophysical objects, but its modelization is still far from satisfactory. We discuss here what can be learned from laboratory experiments. We analyze the results…

天体物理学 · 物理学 2007-05-23 Denis Richard , Jean-Paul Zahn

Lyapunov exponents of heavy particles and tracers advected by homogeneous and isotropic turbulent flows are investigated by means of direct numerical simulations. For large values of the Stokes number, the main effect of inertia is to…

混沌动力学 · 物理学 2009-11-11 Jeremie Bec , Luca Biferale , Guido Boffetta , Massimo Cencini , Stefano Musacchio , Federico Toschi

Thermodynamic uncertainty relations (TURs) bound the dissipation in non-equilibrium systems from below by fluctuations of an observed current. Contrasting the elaborate techniques employed in existing proofs, we here prove TURs directly…

统计力学 · 物理学 2023-02-27 Cai Dieball , Aljaž Godec

We present a detailed investigation of the particle pair separation process in homogeneous isotropic turbulence. We use data from direct numerical simulations up to Taylor's Reynolds number 280 following the evolution of about two million…

混沌动力学 · 物理学 2009-11-11 L. Biferale , G. Boffetta , A. Celani , B. J. Devenish , A. Lanotte , F. Toschi

Sommerfeld paradox roughly says that mathematically Couette linear shear is linearly stable for all Reynolds number, but experimentally arbitrarily small perturbations can induce the transition from the linear shear to turbulence when the…

偏微分方程分析 · 数学 2010-10-12 Y. Charles Li , Zhiwu Lin

A new fundamentally-based formulation of nonlocal effects in the rapid pressure-strain correlation in turbulent flows has been obtained. The resulting explicit form for the rapid pressure-strain correlation accounts for nonlocal effects…

流体动力学 · 物理学 2015-05-13 Peter E. Hamlington , Werner J. A. Dahm

The paper investigates the detailed features of one-dimensional energy spectra in three-dimensional isotropic turbulence, based on the exact solution of Karman-Howarth equation. Particular interest will be paid on the degree to which…

流体动力学 · 物理学 2013-01-29 Ran Zheng , Wang Yao-yao , Yuan Xing-jie

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…

流体动力学 · 物理学 2011-10-14 Pedro Valente , Christos Vassilicos

The linear stability theory of Taylor-Couette flows (unbounded in_z_) is described including magnetic fields, Hall effect or a density stratification in order to prepare laboratory experiments to probe the stability of differential rotation…

天体物理学 · 物理学 2007-05-23 Guenther Ruediger

The nonequilibrium dissipation behaviour discovered for decaying fractal square grid-generated turbulence is experimentally investigated using hot-wire anemometry in a wind tunnel. The previous results are consolidated and benchmarked with…

流体动力学 · 物理学 2013-07-25 Pedro C. Valente

Inertial-range features of turbulence are investigated using data from experimental measurements of grid turbulence and direct numerical simulations of isotropic turbulence simulated in a periodic box, both at the Taylor-scale Reynolds…

流体动力学 · 物理学 2021-06-30 Kartik P. Iyer , Gregory P. Bewley , Luca Biferale , Katepalli R. Sreenivasan , P. K. Yeung

We develop a Hamiltonian theory for a time dispersive and dissipative (TDD) inhomogeneous medium, as described by a linear response equation respecting causality and power dissipation. The canonical Hamiltonian constructed here exactly…

经典物理 · 物理学 2009-04-24 A. Figotin , J. H. Schenker

The Taylor microscale is a fundamental length scale in turbulent fluids, representing the end of fluid properties and onset of dissipative processes. The Taylor microscale can also be used to evaluate the Reynolds number in classical…

太阳与恒星天体物理 · 物理学 2022-07-06 C. Phillips , R. Bandyopadhyay , D. J. McComas

We use a probabilistic approach to describe the behavior as $n -> \infty$ of the Laplace transforms of $P^n$, where $P$ a fixed complex polynomial. As a consequence we obtain a new elementary proof of an result of Gillis-Ismail-Offer in the…

经典分析与常微分方程 · 数学 2007-05-23 Liviu I. Nicolaescu