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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

The inner-outer interaction model (Marusic, Mathis & Hutchins, Science, vol. 329, 2010, 193-196) and the attached-eddy model (Townsend, Cambridge University Press, 1976) are two fundamental models describing the multi-scale turbulence…

Fluid Dynamics · Physics 2022-05-17 Cheng Cheng , Lin Fu

We consider a linear elliptic system in divergence form with random coefficients and study the random fluctuations of large-scale averages of the field and the flux of the solution operator. In the context of the random conductance model,…

Analysis of PDEs · Mathematics 2019-10-25 Mitia Duerinckx , Antoine Gloria , Felix Otto

We present a quantitative analysis on the response of a dilute active suspension of self-propelled rods (swimmers) in a planar channel subjected to an imposed shear flow. To best capture the salient features of shear-induced effects, we…

Soft Condensed Matter · Physics 2020-10-01 Hossein Nili , Masoud Kheyri , Javad Abazari , Ali Fahimniya , Ali Naji

This paper describes a study of the self-sustaining process in wall-turbulence based on a second order statistical state dynamics (SSD) model of Couette flow. SSD models with this form are referred to as S3T models and self-sustain…

Fluid Dynamics · Physics 2017-08-28 Brian F. Farrell , Petros J. Ioannou

We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non-contractible streamlines which foliate the domain), then they must be either parallel or…

Analysis of PDEs · Mathematics 2024-10-25 Theodore D. Drivas , Marc Nualart

In wall-bounded turbulence, a multitude of coexisting turbulence structures form the streamwise velocity energy spectrum from the viscosity- to the inertia-dominated range of scales. Definite scaling-trends for streamwise spectra have…

Fluid Dynamics · Physics 2019-12-04 Woutijn J. Baars , Ivan Marusic

We consider a shear layer of a kind not previously studied to our knowledge. Contrary to the classical free shear layer, the width of the shear zone does not vary in the streamwise direction but rather exhibits a lateral variation. Based on…

Fluid Dynamics · Physics 2012-09-05 Vagesh D. Narasimhamurthy , Simen Å. Ellingsen , Helge I. Andersson

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

On its way to turbulence, plane Couette flow - the flow between counter-translating parallel plates - displays a puzzling steady oblique laminar-turbulent pattern. We approach this problem via Galerkin modelling of the Navier-Stokes…

Fluid Dynamics · Physics 2015-06-11 K. Seshasayanan , P. Manneville

We present a study of intermittency in a turbulent channel flow. Scaling exponents of longitudinal streamwise structure functions, $\zeta_p /\zeta_3$, are used as quantitative indicators of intermittency. We find that, near the center of…

chao-dyn · Physics 2009-10-31 F. Toschi , G. Amati , S. Succi , R. Benzi , R. Piva

We present an equilibrium solution of plane Couette flow that is exponentially localized in both the spanwise and streamwise directions. The solution is similar in size and structure to previously computed turbulent spots and localized,…

Fluid Dynamics · Physics 2015-06-19 Evan Brand , John F. Gibson

In this work we examine the turbulence maintained in a Restricted Nonlinear (RNL) model of plane Couette flow. This model is a computationally efficient approximation of the second order statistical state dynamics (SSD) obtained by…

Fluid Dynamics · Physics 2015-10-28 Vaughan Thomas , Brian F. Farrell , Petros J. Ioannou , Dennice F. Gayme

We investigate a mechanism to manipulate wall-bounded flows whereby wave-like undulations of the wall topography drives the creation of bespoke longitudinal vortices. A resonant interaction between the ambient vorticity of the undisturbed…

Fluid Dynamics · Physics 2020-08-10 Andreas H. Akselsen , Simen Å. Ellingsen

Large-scale instabilities occurring in the presence of small-scale turbulent fluctuations are frequently observed in geophysical or astrophysical contexts but are difficult to reproduce in the laboratory. Using extensive numerical…

The influence of stable and unstable stratification on the amplification of coherent structures in turbulent channel flows is investigated by computing the linear response to stochastic forcing. The responses to momentum and thermal forcing…

Fluid Dynamics · Physics 2023-06-16 Carlo Cossu

We present experimental evidence that the superstructures in turbulent boundary layers comprise of smaller, geometrically self-similar coherent motions. The evidence comes from identifying and analyzing instantaneous superstructures from…

Fluid Dynamics · Physics 2023-08-29 Rahul Deshpande , Charitha M. de Silva , Ivan Marusic

This article is concerned with the time evolution of the oblique laminar-turbulent bands of transitional plane Couette flow under the influence of turbulent noise. Our study is focused on the amplitude of modulation of turbulence. In order…

Fluid Dynamics · Physics 2015-11-24 Joran Rolland

Cross correlations between normal and downstream velocity fluctuations in a turbulent shear flow are shown to carry information about the non-normal amplification process. The creation of spanwise modulated streaks by downstream vortices…

Chaotic Dynamics · Physics 2007-05-23 Bruno Eckhardt , Arne Jachens , Jörg Schumacher

We present an experimental realisation of spatial spanwise forcing in a turbulent boundary layer flow, aimed at reducing the frictional drag. The forcing is achieved by a series of spanwise running belts, running in alternating spanwise…