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We investigate theoretically the near-wall region in elastic turbulence of a dilute polymer solution in the limit of large Weissenberg number. As it was established experimentally, elastic turbulence possesses a boundary layer where the…

Fluid Dynamics · Physics 2019-02-20 S. Belan , A. Chernykh , V. Lebedev

The numerical experiments of turbulence conducted by Gotoh et al. are analyzed precisely with the help of the formulae for the scaling exponents of velocity structure function and for the probability density function (PDF) of velocity…

Statistical Mechanics · Physics 2009-11-07 T. Arimitsu , N. Arimitsu

The variance and spectra of wall-normal velocities are investigated for direct numerical simulations of turbulent flow in a channel, pipe, and zero-pressure-gradient boundary layer across a decade of friction Reynolds numbers. Spectra along…

Fluid Dynamics · Physics 2026-04-22 Michael Heisel , Rahul Deshpande , Gabriel G. Katul

We report the observation of the cross-over between gravity and capillary wave turbulence on the surface of mercury. The probability density functions of the turbulent wave height are found to be asymmetric and thus non Gaussian. The…

Other Condensed Matter · Physics 2016-08-16 Eric Falcon , Claude Laroche , Stéphan Fauve

Here we report experimental results on the fluctuations of injected power in confined turbulence. Specifically, we have studied a von K\'arm\'an swirling flow with constant external torque applied to the stirrers. Two experiments were…

Fluid Dynamics · Physics 2016-02-08 A. Opazo , A. Sáez , G. Bustamante , R. Labbé

The energy gradient method is used to analyze the turbulent generation in the transition boundary layer flow. It is found that the maximum of the energy gradient function occurs at the wall for the Blasius boundary layer flow. At this…

Fluid Dynamics · Physics 2009-11-13 Hua-Shu Dou , Boo Cheong Khoo

In this article we study the trapped motion of a molecule undergoing diffusivity fluctuations inside a harmonic potential. For the same diffusing-diffusivity process, we investigate two possible interpretations. Depending on whether…

Statistical Mechanics · Physics 2023-01-04 Yann Lanoiselée , Aleksander Stanislavsky , Davide Calebiro , Aleksander Weron

Dynamics of the particle phase in a particle laden turbulent flow is highly influenced by the fluctuating velocity and vorticity field of the fluid phase. The present work mainly focuses on exploring the possibility of applying a Langevin…

Fluid Dynamics · Physics 2021-06-08 Swagnik Ghosh , Partha Sarathi Goswami

Persistence is defined as the probability that the local value of a fluctuating field remains at a particular state for a certain amount of time, before being switched to another state. The concept of persistence has been found to have many…

Fluid Dynamics · Physics 2020-07-30 Subharthi Chowdhuri , Tamás Kalmár-Nagy , Tirtha Banerjee

We study the instantaneous and local energy injection in a turbulent shear flow driven by volume forces. The energy injection can be both positive and negative. Extremal events are related to coherent streaks. The probability distribution…

Chaotic Dynamics · Physics 2015-06-26 Joerg Schumacher , Bruno Eckhardt

In an attempt to determine the outer scale of turbulence driven by localized sources, such as supernova explosions in the interstellar medium, we consider a forcing function given by the gradient of gaussian profiles localized at random…

Astrophysics · Physics 2007-05-23 Antony J. Mee , Axel Brandenburg

We study the statistics of the horizontal component of atmospheric boundary layer wind speed. Motivated by its non-stationarity, we investigate which parameters remain constant or can be regarded as being piece-wise constant and explain how…

Data Analysis, Statistics and Probability · Physics 2008-11-21 T. Laubrich , F. Ghasemi , J. Peinke , H. Kantz

A statistical mechanics theory for a fluid stratified in density is presented. The predicted statistical equilibrium state is the most probable outcome of turbulent stirring. The slow temporal evolution of the vertical density profile is…

Fluid Dynamics · Physics 2014-09-23 Antoine Venaille , Louis Gostiaux , Joël Sommeria

The fluctuations of the work done by an external Gaussian random force on a harmonic oscillator that is also in contact with a thermal bath is studied. We have obtained the exact large deviation function as well as the complete asymptotic…

Statistical Mechanics · Physics 2011-11-08 Sanjib Sabhapandit

Turbulence is essential for understanding the structure and dynamics of molecular clouds and star-forming regions. There is a need for adequate tools to describe and characterize the properties of turbulent flows. One-point probability…

Astrophysics · Physics 2008-11-26 Ralf S. Klessen

The transverse momentum per particle, $[p_t]$, fluctuates event by event in ultrarelativistic nucleus-nucleus collisions, for a given multiplicity. These fluctuations are small and approximately Gaussian, but a non-zero skewness has been…

Nuclear Theory · Physics 2023-08-21 Rupam Samanta , João Paulo Picchetti , Matthew Luzum , Jean-Yves Ollitrault

The small-scale velocity gradient is connected to fundamental properties of turbulence at the large scales. By neglecting the viscous and nonlocal pressure Hessian terms, we derive a restricted Euler model for the turbulent flow along an…

Fluid Dynamics · Physics 2025-01-15 Yinghe Qi , Zhenwei Xu , Filippo Coletti

Lagrangian stochastic methods are widely used to model turbulent flows. Scarce consideration has, however, been devoted to the treatment of the near-wall region and to the formulation of a proper wall-boundary condition. With respect to…

Fluid Dynamics · Physics 2024-02-07 Guilhem Balvet , Jean-Pierre Minier , Yelva Roustan , Martin Ferrand

We investigate the properties of a model of granular matter consisting of $N$ Brownian particles on a line subject to inelastic mutual collisions. This model displays a genuine thermodynamic limit for the mean values of the energy and the…

Statistical Mechanics · Physics 2009-10-31 A. Puglisi , V. Loreto , U. Marini Bettolo Marconi , A. Petri , A. Vulpiani

Turbulence is omnipresent in Nature and technology, governing the transport of heat, mass, and momentum on multiple scales. For real-world applications of wall-bounded turbulence, the underlying surfaces are virtually always rough; yet…