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Wall-bounded flows experience a transition to turbulence characterized by the coexistence of laminar and turbulent domains in some range of Reynolds number R, the natural control parameter. This transitional regime takes place between an…

Fluid Dynamics · Physics 2017-07-03 Paul Manneville

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

Streamwise and quasi-streamwise elongated structures have been shown to play a significant role in turbulent shear flows. We model the mean behavior of fully turbulent plane Couette flow using a streamwise constant projection of the Navier…

Fluid Dynamics · Physics 2010-11-29 D. F. Gayme , B. J. McKeon , A. Papachristodoulou , B. Bamieh , J. C. Doyle

This article presents the finite size analysis of two consecutive crossovers leading laminar-turbulent bands to uniform wall turbulence in transitional plane Couette flow. Direct numerical simulations and low order modeling simulations of…

Fluid Dynamics · Physics 2018-10-17 Joran Rolland

Elastic turbulence is a spatially and temporally disordered flow state appearing in viscoelastic fluids at vanishing fluid inertia and large elasticity. The resulting flows have broad technological interest, particularly to enhance mixing…

Fluid Dynamics · Physics 2026-04-02 Zhongxuan Hou , Stefano Berti , Teodor Burghelea , Francesco Romanò

We study the transition to turbulence in the asymptotic suction boundary layer (ASBL) by direct numerical simulation. Tracking the motion of trajectories intermediate between laminar and turbulent states we can identify the invariant object…

We study the laminar turbulent boundary in plane Poiseuille flow at $Re=1400$ and $2180$ using the technique of edge tracking. For large computational domains the attracting state in the laminar-turbulent boundary is localized in spanwise…

Fluid Dynamics · Physics 2015-01-09 Stefan Zammert , Bruno Eckhardt

We study rare noise induced paths that go all the way from stable laminar to transitional turbulent plane Couette flow and investigate whether these paths share the properties of classical noise induced transitions. The rare paths from…

Fluid Dynamics · Physics 2024-12-10 Joran Rolland

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

The results of a combined experimental and numerical study of the flow in slowly diverging pipes are presented. Interestingly, an axisymmetric conical recirculation cell has been observed. The conditions for its existence and the length of…

Fluid Dynamics · Physics 2025-05-13 Jorge Peixinho , Hugues Besnard

Directed percolation(DP) has recently emerged as a possible solution to the century old puzzle surrounding the transition to turbulence. Multiple model studies reported DP exponents, however experimental evidence is limited since the…

Fluid Dynamics · Physics 2022-01-19 Lukasz Klotz , Gregoire Lemoult , Kerstin Avila , Bjorn Hof

Fluid flows between rotating concentric cylinders exhibit two distinct routes to turbulence. In flows dominated by inner-cylinder rotation, a sequence of linear instabilities leads to temporally chaotic dynamics as the rotation speed is…

Statistical properties of circulation encode relevant information about the multi-scale structure of turbulent cascades. Recent massive computational efforts have posed challenging theoretical issues, as the dependence of circulation…

Fluid Dynamics · Physics 2020-11-04 G. B. Apolinário , L. Moriconi , R. M. Pereira , V. J. Valadão

In a dissipative system, there exists the (global) attractor which has finite fractal dimensions. The flow on the attractor can be parametrized by a finite number of parameters (Temmam 1987). Using machine learning we demonstrate how to…

Fluid Dynamics · Physics 2018-03-23 Masaki Shimizu , Genta Kawahara

A central obstacle to understanding the route to turbulence in wall-bounded flows is that the flows are composed of complex, highly fluctuating, and strongly nonlinear states. In the case of pipe flow, models have deepened our understanding…

Fluid Dynamics · Physics 2026-02-24 Santiago J. Benavides , Dwight Barkley

Modeling fluid turbulence using a 'skeleton' of coherent structures has traditionally progressed by focusing on a few canonical experiments, such as pipe flow and Taylor-Couette flow. We here consider an alternative canonical experiment,…

Fluid Dynamics · Physics 2023-05-09 Adrien Lefauve , Miles M. P. Couchman

We study the size of large-scale motions in turbulent plane Couette flows at moderate Reynolds number up to $Re_\tau$ = 500. Direct numerical simulation domains were as large as $100\pi\delta\times2\delta\times5\pi\delta$, where $\delta$ is…

Fluid Dynamics · Physics 2018-04-04 Myoungkyu Lee , Robert D. Moser

Unsteady spatially localized states such as puffs, slugs or spots play an important role in transition to turbulence. In plane Couette flow, steady versions of these states are found on two intertwined solution branches describing…

Fluid Dynamics · Physics 2019-05-01 Anton Pershin , Cedric Beaume , Steven M. Tobias

Direct numerical simulations of turbulent suspension flows are carried out with the Force-Coupling Method in plane Couette and pressure-driven channel configurations. Dilute to moderately concentrated suspensions of neutrally buoyant…

Fluid Dynamics · Physics 2018-08-15 Guiquan Wang , Micheline Abbas , Eric Climent

Axisymmetric direct numerical simulations are carried out to study the hydrodynamics of a laminar, stationary, incompressible, Newtonian, single-phase flow in an Annular Plane Couette (APC) channel. This configuration is that of a Straight…

Fluid Dynamics · Physics 2025-02-13 Rémi Macadré , Olivier C Masbernat , Frederic Risso , Roel Belt