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We study the statistical properties of passive tracer transport in turbulent flows with a mean gradient, emphasizing tracer intermittency and extreme events. An analytically tractable model is developed, coupling zonal and shear velocity…

Computational Engineering, Finance, and Science · Computer Science 2025-06-10 Mustafa A Mohamad , Di Qi

We put forward the idea of defining vortex boundaries in planar flows as closed material barriers to the diffusive transport of vorticity. Such diffusive vortex boundaries minimize the leakage of vorticity from the fluid mass they enclose…

Fluid Dynamics · Physics 2020-02-26 Stergios Katsanoulis , Mohammad Farazmand , Mattia Serra , George Haller

The entrainment of ambient fluid into a turbulent shear flow has been a topic of wide interest for several decades. To estimate the entrainment of ambient fluid into turbulent jet, it is essential to define the boundary of the jet. The…

Fluid Dynamics · Physics 2020-02-18 Sachin Y. Shinde , Prasanth Prabhakaran , Roddam Narasimha

The purpose of this contribution is to summarize and discuss recent advances regarding the onset of turbulence in shear flows. The absence of a clear cut instability mechanism, the spatio-temporal intermittent character and extremely long…

Fluid Dynamics · Physics 2014-03-19 Baofang Song , Björn Hof

The transition to turbulence in many shear flows proceeds along two competing routes, one linked with finite-amplitude disturbances and the other one originating from a linear instability, as in e.g. boundary layer flows. The dynamical…

Fluid Dynamics · Physics 2020-12-30 Miguel Beneitez , Yohann Duguet , Dan S. Henningson

Time-dependent visualisations of large-scale direct and large-eddy simulations (DNS and LES) of a turbulent boundary layer reaching up to $Re_\theta=4300$ are presented. The focus of the present fluid dynamics video is on analysing the…

Fluid Dynamics · Physics 2010-10-20 Philipp Schlatter , Mattias Chevalier , Miloš Ilak , Dan S. Henningson

Understanding turbulence is the key to our comprehension of many natural and technological flow processes. At the heart of this phenomenon lies its intricate multi-scale nature, describing the coupling between different-sized eddies in…

A novel concept of quantum turbulence in finite size superfluids, such as trapped bosonic atoms, is discussed. We have used an atomic $^{87}\mathrm{Rb}$ BEC to study the emergence of this phenomenon. In our experiment, the transition to the…

Quantum Gases · Physics 2011-05-16 R. F. Shiozaki , G. D. Telles , V. I. Yukalov , V. S. Bagnato

In this work, we simulate the transition to turbulence in the pipe flow based on the modified NS theory incorporating the viscous fluid strength in the constitutive equations. The latter concept enriches theory by allowing for material…

Fluid Dynamics · Physics 2024-05-13 Saptarshi Kumar Lahiri , Konstantin Volokh

We deal with the incompressible Navier-Stokes equations, in two and three dimensions, when some vortex patches are prescribed as initial data i.e. when there is an internal boundary across which the vorticity is discontinuous. We show…

Analysis of PDEs · Mathematics 2008-12-12 Franck Sueur

The universality of intermittency in hydrodynamic turbulence is considered based on a recent model for the velocity gradient tensor evolution. Three possible versions of the model are investigated differing in the assumed correlation…

Fluid Dynamics · Physics 2007-05-23 Laurent Chevillard , Charles Meneveau

We introduce an elementary model of a turbulent boundary layer over a flat surface, given as a vertical random distribution of spanwise Lamb-Oseen vortex configurations placed over a non-slip boundary condition line. We are able to…

Fluid Dynamics · Physics 2009-11-13 L. Moriconi

Lower-branch traveling waves and equilibria computed in pipe flow and other shear flows appear intermediate between turbulent and laminar motions. We take a step towards connecting these lower-branch solutions to transition by deriving a…

Fluid Dynamics · Physics 2015-05-13 D. Viswanath , P. Cvitanovic

Viscous flows through pipes and channels are steady and ordered until, with increasing velocity, the laminar motion catastrophically breaks down and gives way to turbulence. How this apparently discontinuous change from low- to…

Most flows in nature and engineering are turbulent because of their large velocities and spatial scales. Laboratory experiments of rotating quasi-Keplerian flows, for which the angular velocity decreases radially but the angular momentum…

Fluid Dynamics · Physics 2017-11-21 Jose M. Lopez , Marc Avila

A set of equations according to which the conducting medium consists of two fluids - laminar and vortex, has been obtained in the present paper by transforming MHD equations. In a similar way, an electronic fluid is assumed to consist of a…

chao-dyn · Physics 2009-10-22 N. B. Volkov , A. M. Iskoldsky

A finite-volume method for the steady, compressible, reacting, turbulent Navier-Stokes equations is developed by using a steady-state preserving splitting scheme for the stiff source terms in chemical reaction. Laminar and turbulent…

Fluid Dynamics · Physics 2026-03-31 Yalu Zhu , Feng Liu , William A. Sirignano

Paraxial fluids of light have recently emerged as promising analogue physical simulators of quantum fluids using laser propagation inside nonlinear optical media. In particular, recent works have explored the versatility of such systems for…

Optics · Physics 2023-08-21 Tiago D. Ferreira , Jakub Garwola , Nuno A. Silva

We use a simple model consisting of energy-momentum tensor conservation and a Maxwell-Cattaneo equation for its viscous part to study nonlinear phenomena in a real relativistic fluid. We focus on new types of behavior without…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Esteban Calzetta

When considering a general system of equations describing the space-time evolution (flow) of one or several variables, the problem of the optimization over a finite period of time of a measure of the state variable at the final time is a…

Fluid Dynamics · Physics 2015-06-04 D. P. G. Foures , C. P. Caulfield , P. J. Schmid
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