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Analytical and numerical solutions for the integral curves of the velocity field (streamlines) of a steady-state flow of an ideal fluid with $p = \rho$ equation of state are presented. The streamlines associated with an accelerate black…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Maximiliano Ujevic , Patricio S. Letelier

We establish a classification scheme for stochastic acceleration models involving low-frequency plasma turbulence in a strongly magnetized plasma. This classification takes into account both the properties of the accelerating…

Solar and Stellar Astrophysics · Physics 2015-06-05 Nicolas Bian , A. Gordon Emslie , Eduard P. Kontar

In a collisionless plasma, the energy distribution function of plasma particles can be strongly affected by turbulence. In particular, it can develop a non-thermal power-law tail at high energies. We argue that turbulence with initially…

Plasma Physics · Physics 2022-01-19 Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn , Mikhail Medvedev

The dynamics of particles in turbulence when the particle-size is larger than the dissipative scale of the carrier flow is studied. Recent experiments have highlighted signatures of particles finiteness on their statistical properties,…

A simple analytical model for a turbulent flow is proposed, which considers the flow as a collection of localized spatial structures that are composed of elementary "cells" in which the state of the particles (atoms or molecules) is…

Fluid Dynamics · Physics 2013-04-09 Sergei F. Chekmarev

Due to its ubiquitous presence, turbulence is often invoked to explain the origin of nonthermal particles in astrophysical sources of high-energy emission. With particle-in-cell simulations, we study decaying turbulence in…

High Energy Astrophysical Phenomena · Physics 2018-12-21 Luca Comisso , Lorenzo Sironi

The turbulent diffusivity tensor is determined for linear shear flow turbulence using numerical simulations. For moderately strong shear, the diagonal components are found to increase quadratically with Peclet and Reynolds numbers below…

Solar and Stellar Astrophysics · Physics 2014-11-20 Eniko J. M. Madarassy , Axel Brandenburg

We revisit an alternate explanation for the turbulent nature of molecular clouds - namely, that velocity dispersions matching classical predictions of driven turbulence can be generated by the passage of clumpy material through a shock.…

Astrophysics of Galaxies · Physics 2018-09-26 Duncan H. Forgan , Ian A. Bonnell

Using experimental longitudinal and transverse velocities data for very high Reynolds number turbulence, we study both anisotropy and asymmetry of turbulence. These both seem to be related to small scale turbulent structures, and to…

Atmospheric and Oceanic Physics · Physics 2007-05-23 S. I. Vainshtien

We present a comparison of different particles' velocity and acceleration statistics in two paradigmatic turbulent swirling flows: the von K\'arm\'an flow in a laboratory experiment, and the Taylor-Green flow in direct numerical…

Fluid Dynamics · Physics 2020-07-01 Sofía Angriman , Pablo D. Mininni , Pablo J. Cobelli

Self-similarity of wall-attached coherent structures in a turbulent channel at $Re_\tau=543$ is explored by means of resolvent analysis. In this modelling framework, coherent structures are understood to arise as a response of the…

Fluid Dynamics · Physics 2022-04-04 U. Karban , E. Martini , A. V. G. Cavalieri , L. Lesshafft , P. Jordan

We deal with the 3D inviscid Leray-{\alpha} model. The well posedness for this problem is not known; by adding a random perturbation we prove that there exists a unique (in law) global solution. The random forcing term formally preserves…

Probability · Mathematics 2014-11-17 David Barbato , Hakima Bessaih , Benedetta Ferrario

This article discusses the description of wall-bounded turbulence as a deterministic high-dimensional dynamical system of interacting coherent structures, defined as eddies with enough internal dynamics to behave relatively autonomously…

Fluid Dynamics · Physics 2018-03-20 Javier Jimenez

We model a 3D turbulent fluid, evolving toward a statistical equilibrium, by adding to the equations for the mean field $(v, p)$ a term like $-\alpha \nabla\cdot(\ell(x) D v_t)$. This is of the Kelvin-Voigt form, where the Prandtl mixing…

Analysis of PDEs · Mathematics 2019-07-23 Cherif Amrouche , Luigi C. Berselli , Roger Lewandowski , Dinh Duong Nguyen

Strong magnetically dominated Alfv\'enic turbulence is an efficient engine of non-thermal particle acceleration in a relativistic collisionless plasma. We argue that in the limit of strong magnetization, the type of energy distribution…

Plasma Physics · Physics 2024-05-14 Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn

Kinetic simulations of relativistic turbulence have significantly advanced our understanding of turbulent particle acceleration. Recent progress has highlighted the need for an updated acceleration theory that can account for acceleration…

High Energy Astrophysical Phenomena · Physics 2024-03-19 Zachary Davis , Luca Comisso , Dimitrios Giannios

A large eddy simulation (LES) with an extended Smagorinsky model has been carried to investigate numerically the fully developed turbulent flow of a shear thinning fluid (n=0.75) in a stationary pipe at a simulation's Reynolds number equals…

Fluid Dynamics · Physics 2020-06-01 Mohamed Abdi , Meryem Ould-Rouiss , Abdelkader Noureddine

We develop an analytic formalism and derive new exact relations that express the short-time dispersion of fluid particles via the single-time velocity correlation functions in homogeneous isotropic and incompressible turbulence. The…

Chaotic Dynamics · Physics 2015-08-04 Gregory Falkovich , Anna Frishman

We report experimental measurements of Lagrangian accelerations in the bulk of intense turbulent flows of dilute polymer solutions by following tracer particles with a high-speed optical tracking system. We observed a significant decrease…

Fluid Dynamics · Physics 2009-11-13 Alice M. Crawford , Nicolas Mordant , Haitao Xu , Eberhard Bodenschatz

Scaling of turbulent wall-bounded flows is revealed in the gradient structures, for each of the Reynolds stress components. Within the dissipation structure, an asymmetrical order exists, that we can deploy to unify the scaling and…

Fluid Dynamics · Physics 2021-02-02 T. -W. Lee