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Related papers: Linear instability of turbulent channel flow

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We present a simple model for the development of shear layers between parallel flows in confining channels. Such flows are important across a wide range of topics from diffusers, nozzles and ducts to urban air flow and geophysical fluid…

Fluid Dynamics · Physics 2018-04-09 GP Benham , AA Castrejon-Pita , IJ Hewitt , CP Please , RW Style , P Bird

Intermittent turbulent-laminar patterns characterize the transition to turbulence in pipe, plane Couette and plane channel flows. The time evolution of turbulent-laminar bands in plane channel flow is studied via direct numerical…

Fluid Dynamics · Physics 2020-09-02 Sébastien Gomé , Laurette S. Tuckerman , Dwight Barkley

We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the…

Analysis of PDEs · Mathematics 2007-05-23 Yan Guo , Hyung Ju Hwang

Turing patterns formed by activator-inhibitor systems on networks are considered. The linear stability analysis shows that the Turing instability generally occurs when the inhibitor diffuses sufficiently faster than the activator. Numerical…

Pattern Formation and Solitons · Physics 2010-04-29 Hiroya Nakao , Alexander S. Mikhailov

We have measured the nonlinear rheological response of a model transient network over a large range of steady shear rates. The system is built up from an oil in water droplet microemulsion into which a telechelic polymer is incorporated.…

Soft Condensed Matter · Physics 2009-11-10 Eric Michel , Jacqueline Appell , Francois Molino , Jean Kieffer , Gregoire Porte

A new mean-field theory of turbulent convection is developed. This theory predicts the convective wind instability in a shear-free turbulent convection which causes formation of large-scale semi-organized fluid motions in the form of cells…

Astrophysics · Physics 2009-11-07 T. Elperin , N. Kleeorin , I. Rogachevskii , S. Zilitinkevich

This study investigates transient wave dynamics in Turing pattern formation, focusing on waves emerging from localised disturbances. While the traditional focus of diffusion-driven instability has primarily centred on stationary solutions,…

Pattern Formation and Solitons · Physics 2024-03-15 Václav Klika , Eamonn A. Gaffney , Philip K. Maini

A combination of methods originating from non-stationary timeseries analysis is applied to two datasets of near surface turbulence in order to gain insights on the non-stationary enhancement mechanism of intermittent turbulence in the…

Atmospheric and Oceanic Physics · Physics 2019-09-04 Nikki Vercauteren , Vyacheslav Boyko , Amandine Kaiser , Danijel Belušić

Localised turbulent structures such as puffs or oblique stripes are building blocks of the intermittency regimes in subcritical wall-bounded shear flows. These turbulent structures are investigated in incompressible pressure-driven annular…

Fluid Dynamics · Physics 2017-08-01 Takahiro Ishida , Yohann Duguet , Takahiro Tsukahara

The emergence of large-scale spatial modulations of turbulent channel flow, as the Reynolds number is decreased, is addressed numerically using the framework of linear stability analysis. Such modulations are known as the precursors of…

We study the bendocapillary instability of a liquid droplet that part fills a flexible walled channel. Inspired by experiments in which a `weaving' pattern emerges as droplets of liquid are condensed slowly into deformable microchannels, we…

Fluid Dynamics · Physics 2023-03-22 Alexander T. Bradley , Ian J. Hewitt , Dominic Vella

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…

Soft Condensed Matter · Physics 2009-11-07 F. Radjai , S. Roux

We consider the linear stability of shear banded planar Couette flow of the Johnson-Segalman fluid, with and without the addition of stress diffusion to regularise the equations. In particular, we investigate the effect of two-dimensional…

Soft Condensed Matter · Physics 2007-06-13 H. J. Wilson , S. M. Fielding

Interactions between an internal flow and wall deformation occur in many biological systems. Such interactions can involve a complex and rich dynamical behavior and a number of peculiarities which depend on the flow parameter range. The aim…

Fluid Dynamics · Physics 2019-03-11 Mustapha Amaouche , Giuseppe Di Labbio

I shortly describe the main results on elastically driven instabilities and elastic turbulence in viscoelastic inertia-less flows with curved streamlines. Then I describe a theory of elastic turbulence and prediction of elastic waves at…

Fluid Dynamics · Physics 2022-06-08 V. Steinberg

Opposition flow control is a robust strategy that has been proved effective in turbulent wall-bounded flows. Its conventional setup consists of measuring wall-normal velocity in the buffer layer and opposing it at the wall. This work…

Fluid Dynamics · Physics 2022-02-16 Anna Guseva , Javier Jimenez

Unstable shear layers in environmental and industrial flows roll up into a series of vortices, which often form complex nonlinear merging patterns like pairs and triplets. These patterns crucially determine the subsequent turbulence, mixing…

Fluid Dynamics · Physics 2019-10-23 Anirban Guha , Mona Rahmani

We show that viscoelastic plane Poiseuille flow becomes linearly unstable in the absence of inertia, in the limit of high elasticities, for ultra-dilute polymer solutions. While inertialess elastic instabilities have been predicted for…

Fluid Dynamics · Physics 2021-09-29 Mohammad Khalid , V. Shankar , Ganesh Subramanian

We propose a scenario for the formation of localized turbulent spots in transition flows, which is known as resulting from the subcritical character of the transition. We show that it is not necessary to add 'by hand" a term of random noise…

Chaotic Dynamics · Physics 2015-11-30 Yves Pomeau , Martine Le Berre

A first principle explanation of the origin of intermittency and nonlinear structure formation in the Lagrangian velocity increments of a turbulent flow is presented in the context of a scale invariant analytical formalism that is being…

Classical Analysis and ODEs · Mathematics 2016-06-29 Dhurjati Prasad Datta
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