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Fluid deformation and strain history are central to wide range of fluid mechanical phenomena ranging from fluid mixing and particle transport to stress development in complex fluids and the formation of Lagrangian coherent structures…

Fluid Dynamics · Physics 2025-10-03 Daniel R. Lester , Marco Dentz , Tanguy Le Borgne , Felipe P. J. de Barros

In three-dimensional turbulent flows, the flux of energy from large to small scales breaks time symmetry. We show here that this irreversibility can be quantified by following the relative motion of several Lagrangian tracers. We find by…

Fluid Dynamics · Physics 2015-06-22 Jennifer Jucha , Haitao Xu , Alain Pumir , Eberhard Bodenschatz

On their roller coaster ride through turbulence, tracer particles sample the fluctuations of the underlying fields in space and time. Quantitatively relating particle and field statistics remains a fundamental challenge in a large variety…

Fluid Dynamics · Physics 2018-01-10 Cristian C. Lalescu , Michael Wilczek

We study the Lagrangian velocity and acceleration statistics of light particles (micro-bubbles in water) in homogeneous isotropic turbulence. Micro-bubbles with a diameter of 340 microns and Stokes number from 0.02 to 0.09 are dispersed in…

Fluid Dynamics · Physics 2012-05-30 Julian Martinez Mercado , Vivek N. Prakash , Yoshiyuki Tagawa , Chao Sun , Detlef Lohse

The probability density functions measured by Lewis and Swinney for turbulent Couette-Taylor flow, observed by Bodenschatz and co-workers in the Lagrangian measurement of particle accelerations and those obtained in the DNS by Gotoh et al.…

Soft Condensed Matter · Physics 2007-05-23 Toshihico Arimitsu , Naoko Arimitsu

A direct numerical simulation of an oblique shock wave impinging on a turbulent boundary layer at Mach number 2.28 is carried out at moderate Reynolds number, simulating flow conditions similar to those of the experiment by Dupont et al.…

Fluid Dynamics · Physics 2023-01-25 Matteo Bernardini , Giacomo Della Posta , Francesco Salvadore , Emanuele Martelli

Turbulent fluid flows exhibit a complex small-scale structure with frequently occurring extreme velocity gradients. Particles probing such swirling and straining regions respond with an intricate shape-dependent orientational dynamics,…

Fluid Dynamics · Physics 2020-11-30 Leonhard A. Leppin , Michael Wilczek

Multiscale correlation functions in high Reynolds number experimental turbulence, numerical simulations and synthetic signals are investigated. Fusion Rules predictions as they arise from multiplicative, almost uncorrelated, random…

chao-dyn · Physics 2009-10-31 R. Benzi , L. Biferale , G. Ruiz-Chavarria , S. Ciliberto , F. Toschi

The turbulent diffusion of Lagrangian tracer particles has been studied in a flow on the surface of a large tank of water and in computer simulations. The effect of flow compressibility is captured in images of particle fields. The velocity…

Chaotic Dynamics · Physics 2009-11-10 John R. Cressman , Walter I. Goldburg , Joerg Schumacher

Turbulence in fluids is an ubiquitous phenomenon, characterized by spontaneous transition of a smooth, laminar flow to rapidly changing, chaotic dynamics. In 1883, Reynolds experimentally demonstrated that, in an initially laminar flow of…

Fluid Dynamics · Physics 2022-05-03 Rafail V. Abramov

The Lagrangian statistics of relative dispersion in fully developed turbulence is numerically investigated. A scaling range spanning many decades is achieved by generating a synthetic velocity field with prescribed Eulerian statistical…

chao-dyn · Physics 2009-10-31 G. Boffetta , A. Celani , A. Crisanti , A. Vulpiani

This paper demonstrates that intermittent magnetic field fluctuations in the plasma sheet exhibit transitory, localized, and multi-scale features. We propose a multifractal based algorithm, which quantifies intermittence on the basis of the…

Turbulence modulation by inertial-range-size, neutrally-buoyant particles is investigated experimentally in a von K\'arm\'an flow. Increasing the particle volume fraction $\Phi_\mathrm{v}$, maintaining constant impellers Reynolds number…

Fluid Dynamics · Physics 2015-01-06 Mamadou Cisse , Ewe Wei Saw , Mathieu Gibert , Eberhard Bodenschatz , Jeremie Bec

In our recent works we proposed a theory of turbulence in inertial gas flow via the mean field effect of an intermolecular potential. We found that, in inertial flow, turbulence indeed spontaneously develops from a laminar initial…

Fluid Dynamics · Physics 2022-12-14 Rafail V. Abramov

We present results from a numerical study of particle dispersion in the weakly nonlinear regime of Rayleigh-B\'enard convection of a fluid with Prandtl number around unity, where bi-stability between ideal straight convection rolls and weak…

Fluid Dynamics · Physics 2016-06-29 Simon Schütz , Eberhard Bodenschatz

The statistics of velocity differences between very heavy inertial particles suspended in an incompressible turbulent flow is found to be extremely intermittent. When particles are separated by distances within the viscous subrange, the…

Fluid Dynamics · Physics 2009-05-11 J. Bec , L. Biferale , M. Cencini , A. S. Lanotte , F. Toschi

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…

We present a simple stochastic algorithm for generating multiplicative processes with multiscaling both in space and in time. With this algorithm we are able to reproduce a synthetic signal with the same space and time correlation as the…

Chaotic Dynamics · Physics 2007-05-23 Roberto Benzi , Luca Biferale , Federico Toschi

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

Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is via finite-time Lyapunov exponents. We show that similar…

Chaotic Dynamics · Physics 2011-02-11 J. D. Szezech , A. B. Schelin , I. L. Caldas , S. R. Lopes , P. J. Morrison , R. L. Viana
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