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The transitional and well-developed regimes of turbulent shear flows exhibit a variety of remarkable scaling laws that are only now beginning to be systematically studied and understood. In the first part of this article, we summarize…

Fluid Dynamics · Physics 2017-01-04 Nigel Goldenfeld , Hong-Yan Shih

We use a stochastic model and direct numerical simulation to study the impact of turbulence on cloud droplet growth by condensation. We show that the variance of the droplet size distribution increases in time as t^{1/2}, with growth rate…

Fluid Dynamics · Physics 2015-10-06 Gaetano Sardina , Francesco Picano , Luca Brandt , Rodrigo Caballero

In stellar interiors shear flows play an important role in many physical processes. So far helioseismology provides only large-scale measurements, and so the small-scale dynamics remains insufficiently understood. To draw a connection…

Solar and Stellar Astrophysics · Physics 2016-12-01 V. Witzke , L. J. Silvers

A shear-improved Smagorinsky model is introduced based on recent results concerning shear effects in wall-bounded turbulence by Toschi et al. (2000). The Smagorinsky eddy-viscosity is modified subtracting the magnitude of the mean shear…

Chaotic Dynamics · Physics 2015-06-26 E. Leveque , F. Toschi , L. Shao , J. -P. Bertoglio

Turbulent mixing layers in nature are often characterized by the presence of a mean shear and an unstable buoyancy gradient between two streams of different velocity. Depending on the relative strength of shear versus buoyancy, either the…

Traditionally, single realizations of the turbulent state have been the object of study in shear flow turbulence. When a statistical quantity was needed it was obtained from a spatial, temporal or ensemble average of sample realizations of…

Fluid Dynamics · Physics 2022-10-27 Brian F. Farrell , Petros J. Ioannou

The dispersion of a passive scalar by wall turbulence, in the limit of infinite Peclet number, is analyzed using frozen velocity fields from the DNS by our group. The Lagrangian trajectories of fluid particles in those fields are integrated…

Fluid Dynamics · Physics 2013-09-11 Juan C. del Alamo , Javier Jimenez

The dimensional transition in turbulent jets of a shear-thinning fluid is studied via direct numerical simulations. Our findings reveal that under vertical confinement, the flow exhibits a unique mixed-dimensional (or 2.5D) state, where…

Fluid Dynamics · Physics 2024-08-20 Christian Amor , Giovanni Soligo , Andrea Mazzino , Marco Edoardo Rosti

We study enhancement of diffusive mixing by fast incompressible time-periodic flows. The class of relaxation-enhancing flows that are especially efficient in speeding up mixing has been introduced in [2]. The relaxation-enhancing property…

Analysis of PDEs · Mathematics 2007-07-02 Alexander Kiselev , Roman Shterenberg , Andrej Zlatos

We demonstrate that at long times the rate of passive scalar decay in a turbulent, or simply chaotic, flow is dominated by regions (in real space or in inverse space) where mixing is less efficient. We examine two situations. The first is…

Chaotic Dynamics · Physics 2009-11-07 M. Chertkov , V. Lebedev

The interaction of polymers with turbulent shear flows is examined. We focus on the structure of the elastic stress tensor, which is proportional to the polymer conformation tensor. We examine this object in turbulent flows of increasing…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Anna Pomyalov , Itamar Procaccia , Vasil Tiberkevich

Two approaches to the problem of transition to turbulence of shear flows are popular in the literature. The first is the linear one of transient growth which focuses on the likely form of the most 'dangerous' (lowest energy)…

Fluid Dynamics · Physics 2010-05-11 Chris C. T. Pringle , Rich R. Kerswell

Hydrodynamic flow occurs in an electron liquid when the mean free path for electron-electron collisions is the shortest length scale in the problem. In this regime, transport is described by the Navier-Stokes equation, which contains two…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Alessandro Principi , Giovanni Vignale , Matteo Carrega , Marco Polini

The deformation of an elastic micro-capsule in an infinite shear flow is studied numerically using a spectral method. The shape of the capsule and the hydrodynamic flow field are expanded into smooth basis functions. Analytic expressions…

Soft Condensed Matter · Physics 2008-09-03 S. Kessler , R. Finken , U. Seifert

The behavior of a phase separating binary mixture in uniform shear flow is investigated by numerical simulations and in a renormalization group (RG) approach. Results show the simultaneous existence of domains of two characteristic scales.…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

We study the effect of impermeable boundaries on the symmetry properties of a random passive scalar field advected by random flows. We focus on a broad class of nonlinear shear flows multiplied by a stationary, Ornstein-Uhlenbeck (OU) time…

Fluid Dynamics · Physics 2021-07-07 R. Camassa , L. Ding , Z. Kilic , R. M. McLaughlin

In many simulations of turbulent flows the viscous forces $\nu\nabla^2 {\bf u}$ are replaced by a hyper-viscous term $-\nu_p(-\nabla^2)^{p}{\bf u}$ in order to suppress the effect of viscosity at the large scales. In this work we examine…

Fluid Dynamics · Physics 2020-02-12 Rahul Agrawal , Alexandros Alexakis , Marc E. Brachet , Laurette S. Tuckerman

This Letter introduces unexpected diffusion properties in dense granular flows, and shows that they result from the development of partially jammed clusters of grains, or granular vortices. Transverse diffusion coefficients $D$ and average…

Soft Condensed Matter · Physics 2017-10-25 Prashidha Kharel , Pierre Rognon

The dynamics of small-scale structures in free-surface turbulence is crucial to large-scale phenomena in natural and industrial environments. Here we conduct experiments on the quasi-flat free surface of a zero-mean-flow turbulent water…

Fluid Dynamics · Physics 2025-03-14 Yinghe Qi , Yaxing Li , Filippo Coletti

We study diffusion and mixing in different linear fluid dynamics models, mainly related to incompressible flows. In this setting, mixing is a purely advective effect which causes a transfer of energy to high frequencies. When diffusion is…

Analysis of PDEs · Mathematics 2018-06-11 Michele Coti Zelati , Matias G. Delgadino , Tarek M. Elgindi
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