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In plane Couette flow, the incompressible fluid between two plane parallel walls is driven by the motion of those walls. The laminar solution, in which the streamwise velocity varies linearly in the wall-normal direction, is known to be…

Fluid Dynamics · Physics 2014-08-28 D. Viswanath

Upon decreasing the Reynolds number, plane Couette flow first forms alternately turbulent and laminar oblique bands out of featureless turbulence below some upper threshold R_t. These bands exist down to a global stability threshold R_g…

Fluid Dynamics · Physics 2011-09-06 Paul Manneville

Contrasting with free shear flows presenting velocity profiles with inflection points which cascade to turbulence in a relatively mild way, wall bounded flows are deprived of (inertial) instability modes at low Reynolds numbers and become…

Fluid Dynamics · Physics 2009-11-13 Paul Manneville

Turbulence -- ubiquitous in nature and engineering alike [1-5] -- is traditionally viewed as an intrinsically inertial phenomenon, emerging only when the Reynolds number (Re), which quantifies the ratio of inertial to dissipative forces…

Fluid Dynamics · Physics 2025-11-11 Ziyue Yu , Xinyu Si , Lei Fang

In wall-bounded flows, the laminar regime remain linearly stable up to large values of the Reynolds number while competing with nonlinear turbulent solutions issued from finite amplitude perturbations. The transition to turbulence of plane…

Fluid Dynamics · Physics 2019-04-09 Paul Manneville , Masaki Shimizu

In particle-laden turbulent flows the turbulence in carrier fluid phase gets affected by the dispersed particle phase for volume fraction above $10^{-4}$ and hence reverse coupling or two-way coupling becomes relevant in that volume…

Fluid Dynamics · Physics 2022-09-14 Swagnik Ghosh , Partha Sarathi Goswami

Recent research has shed light on the role of coherent structures in forming layers when stably stratified turbulence is forced with horizontal shear (Lucas, Caulfield & Kerswell, J. Fluid Mech., vol. 832, 2017, pp. 409-437). Here we extend…

Fluid Dynamics · Physics 2019-05-01 Dan Lucas , C. P. Caulfield , Rich R. Kerswell

The flow of an electrically conducting fluid in a thin disc under the action of an azimuthal Lorentz force is studied experimentally. At small forcing, the Lorentz force is balanced by either viscosity or inertia, yielding quasi-Keplerian…

Fluid Dynamics · Physics 2021-09-14 Marlone Vernet , Michael Pereira , Stephan Fauve , Christophe Gissinger

Regular patterns of turbulent and laminar fluid motion arise in plane Couette flow near the lowest Reynolds number for which turbulence can be sustained. We study these patterns using an extension of the minimal flow unit approach to…

Fluid Dynamics · Physics 2007-05-23 Dwight Barkley , Laurette S. Tuckerman

This article aims to make a detailed analysis of co-flowing plane Couette flows. Particularly, the variation of flow quantities from the turbulent to non-turbulent region is studied. While the enstrophy exhibits a sharp jump, the other…

Fluid Dynamics · Physics 2022-11-01 Manohar Teja Kalluri , Vagesh D. Narasimhamurthy

Turbulence is omnipresent in Nature and technology, governing the transport of heat, mass, and momentum on multiple scales. For real-world applications of wall-bounded turbulence, the underlying surfaces are virtually always rough; yet…

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

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

Two-way coupled DNS simulation of particle-laden turbulent Couette-flow [1], in the volume fraction regime $\phi>10^{-4}$, showed a discontinuous decrease of turbulence intensity beyond a critical volume fraction…

Fluid Dynamics · Physics 2022-04-04 Swagnik Ghosh , Partha Sarathi Goswami

Shearing and rotational forces in fluids can significantly alter the transport of momentum.A numerical investigation was undertaken to study the role of these forces using plane Couette flow subject to rotation about an axis perpendicular…

Fluid Dynamics · Physics 2015-06-23 Matthew Salewski , Bruno Eckhardt

Low Reynolds number turbulence in wall-bounded shear flows en route to laminar flow takes the form of spatially intermittent turbulent structures. In plane shear flows, these appear as a regular pattern of alternating turbulent and…

Fluid Dynamics · Physics 2023-06-05 S. Gomé , L. S. Tuckerman , D. Barkley

We study a large-scale instability in a sheared nonhelical turbulence that causes generation of large-scale vorticity. Three types of the background large-scale flows are considered, i.e., the Couette and Poiseuille flows in a small-scale…

Fluid Dynamics · Physics 2009-11-13 T. Elperin , I. Golubev , N. Kleeorin , I. Rogachevskii

Turbulence is a widely observed state of fluid flows, characterized by complex, nonlinear interactions between motions across a broad spectrum of length and time scales. While turbulence is ubiquitous, from teacups to planetary atmospheres,…

Fluid Dynamics · Physics 2025-01-28 Adrian van Kan

The ultimate goal of a sound theory of turbulence in fluids is to close in a rational way the Reynolds equations, namely to express the time averaged turbulent stress tensor as a function of the time averaged velocity field. This closure…

Fluid Dynamics · Physics 2021-05-18 Yves Pomeau , Martine Le Berre

The decay of Taylor-Couette turbulence, i.e~the flow between two coaxial and independently rotating cylinders, is numerically studied by instantaneously stopping the forcing from an initially statistically stationary flow field at a…

Fluid Dynamics · Physics 2017-11-08 Rodolfo Ostilla-Mónico , Xiaojue Zhu , Vamsi Spandan , Roberto Verzicco , Detlef Lohse
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