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We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

统计力学 · 物理学 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation…

流体动力学 · 物理学 2021-03-17 Nicolás P. Müller , Juan Ignacio Polanco , Giorgio Krstulovic

We show theoretically that the mean turbulent dynamics can be described by a kinetic theory representation with a single free relaxation time that depends on space and time. A proper kinetic equation is constructed from averaging the…

流体动力学 · 物理学 2024-01-31 Hudong Chen , Ilya Staroselsky , Katepalli R. Sreenivasan , V. Yakhot

We extend our earlier macrostatistical treatment of hydrodynamical fluctuations about nonequilibrium steady states to viscous fluids. Since the scale dependence of the Navier-Stokes equations precludes the applicability of any infinite…

数学物理 · 物理学 2015-06-05 Geoffrey L. Sewell

The collective motion of microswimmers in suspensions induce patterns of vortices on scales that are much larger than the characteristic size of a microswimmer, attaining a state called bacterial turbulence. Hydrodynamic turbulence acts on…

流体动力学 · 物理学 2019-08-02 Moritz Linkmann , Guido Boffetta , M. Cristina Marchetti , Bruno Eckhardt

We investigate properties of the scale dependence and cross-scale transfer of kinetic energy in compressible three-dimensional hydrodynamic turbulence, by means of two direct numerical simulations of decaying turbulence with initial Mach…

流体动力学 · 物理学 2021-04-15 P. Hellinger , A. Verdini , S. Landi , E. Papini , L. Franci , L. Matteini

A molecular dynamics (MD) simulation of planar Couette flow is presented for the minimal channel in which turbulence structures can be sustained. Evolution over a single breakdown and regeneration cycle is compared to computational fluid…

流体动力学 · 物理学 2015-12-04 E. R. Smith

Few rigorous results are derived for fully developed turbulence. By applying the scaling properties of the Navier-Stokes equation we have derived a relation for the energy spectrum valid for unforced or decaying isotropic turbulence. We…

混沌动力学 · 物理学 2009-11-07 P. D. Ditlevsen , M. H. Jensen , P. Olesen

It has long been conjectured that, in three dimensional turbulence, velocity modes at scales larger than the forcing scale follow equilibrium dynamics. Recent numerical and experimental evidence show that such modes share the same mean…

流体动力学 · 物理学 2023-11-27 Alexandros Alexakis , Sergio Chibbaro , Guillaume Michel

We study the homogeneous isotropic turbulence of a shear-thinning fluid modeled by the Carreau model and show how the variable viscosity affects the multiscale behaviour of the turbulent flow. We show that Kolmogorov theory can be extended…

流体动力学 · 物理学 2025-06-11 Marco Edoardo Rosti

Similarities and differences between Kolmogorov scale-by-scale equilibria/non-equilibria for velocity and scalar fields are investigated in the intermediate layer of a fully developed turbulent channel flow with a passive scalar/temperature…

流体动力学 · 物理学 2026-03-06 Emanuele Gallorini , Shingo Motoki , Genta Kawahara , Christos Vassilicos

Thermal fluctuations strongly modify the large length-scale elastic behavior of crosslinked membranes, giving rise to scale-dependent elastic moduli. While thermal effects in flat membranes are well understood, many natural and artificial…

软凝聚态物质 · 物理学 2013-02-19 Jayson Paulose , Gerard A. Vliegenthart , Gerhard Gompper , David R. Nelson

Turbulent flows play an important role in many aspects of nature and technics from sea storms to transport of particles or chemicals. Transport of energy from large scales to small fluctuations is the essential feature of three-dimensional…

流体动力学 · 物理学 2014-11-07 V. A. Sirota , K. P. Zybin

The present work studies the isotropic and homogeneous turbulence for incompressible fluids through a specific Lyapunov analysis, assuming that the turbulence is due to the bifurcations associated to the velocity field. The analysis…

流体动力学 · 物理学 2009-08-12 Nicola de Divitiis

Both linear growth processes associated with non-normality of the mean flow and nonlinear interaction transferring energy among fluctuations contribute to maintaining turbulence. However, a detailed understanding of the mechanism by which…

流体动力学 · 物理学 2022-11-29 B. F. Farrell , E. Kim , H. J. Bae , M. -A. Nikolaidis , P. J. Ioannou

Turbulent flows exhibit large intermittent fluctuations from inertial to dissipative scales, characterized by multifractal statistics and breaking the statistical self-similarity. It has recently been proposed that the Navier-Stokes…

流体动力学 · 物理学 2025-07-08 B. Magacho , S. Thalabard , M. Buzzicotti , F. Bonaccorso , L Biferale , A. A. Mailybaev

We introduce a modification of the Navier-Stokes equation that has the remarkable property of possessing an infinite number of conserved quantities in the inviscid limit. This new equation is studied numerically and turbulence properties…

流体动力学 · 物理学 2015-06-05 Tobias Grafke , Rainer Grauer , Thomas C. Sideris

Self-organized large-scale flow structures occur in a wide range of turbulent flows. Yet, their emergence, dynamics, and interplay with small-scale turbulence are not well understood. Here, we investigate such self-organized turbulent…

流体动力学 · 物理学 2021-06-14 Cristian C. Lalescu , Michael Wilczek

This paper presents a new theory of turbulent mixing in stirred reactors. The degree of homogeneity of a mixed fluid may be characterized by the Kolmogorov micro-scale. The smaller its value, the better homogeneity. The micro-scale scales…

流体动力学 · 物理学 2016-04-26 Helmut Z. Baumert , Bernhard Wessling

We analyze particle velocity fluctuations in a simulated granular system subjected to homogeneous quasistatic shearing. We show that these fluctuations share the following scaling characteristics of fluid turbulence in spite of their…

软凝聚态物质 · 物理学 2009-11-07 F. Radjai , S. Roux