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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

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

We report the results of an experimental investigation into the decay of turbulence in plane Couette-Poiseuille flow using 'quench' experiments where the flow laminarises after a sudden reduction in Reynolds number $Re$. Specifically, we…

The Galerkin method is used to derive a realistic model of plane Couette flow in terms of partial differential equations governing the space-time dependence of the amplitude of a few cross-stream modes. Numerical simulations show that it…

Fluid Dynamics · Physics 2008-11-25 M. Lagha , P. Manneville

We discuss the applicability of quasilinear-type approximations for a turbulent system with a large range of spatial and temporal scales. We consider a paradigm fluid system of rotating convection with a vertical and horizontal temperature…

Fluid Dynamics · Physics 2023-07-11 Curtis J. Saxton , Brad Marston , Jeffrey S. Oishi , Steven M. Tobias

Studies of the relation between the shear parameter S^* and the Reynolds number Re are presented for a nearly homogeneous and statistically stationary turbulent shear flow. The parametric investigations are in line with a generalized…

Chaotic Dynamics · Physics 2009-11-10 Joerg Schumacher

This paper reports on the efficacy of the G\"ortler number in scaling the laminar-turbulent boundary-layer transition on rotating cones facing axial inflow. Depending on the half-cone angle $\psi$ and axial flow strength, the competing…

Fluid Dynamics · Physics 2024-04-16 Sumit Tambe , Kentaro Kato , Zahir Hussain

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

The no-slip boundary condition results in a velocity shear forming in fluid flow near a solid surface. This shear flow supports the turbulence characteristic of fluid flow near boundaries at Reynolds numbers above $\approx1000$ by making…

Fluid Dynamics · Physics 2018-08-28 Brian F. Farrell , Petros J. Ioannou , Marios-Andreas Nikolaidis

Direct numerical simulations of turbulent channels with rough walls are conducted in the transitionally rough regime. The effect that roughness produces on the overlying turbulence is studied using a modified triple decomposition of the…

Fluid Dynamics · Physics 2020-07-21 Nabil Abderrahaman-Elena , Chris T. Fairhall , Ricardo García-Mayoral

Despite recent progress, laminar-turbulent coexistence in transitional planar wall-bounded shear flows is still not well understood. Contrasting with the processes by which chaotic flow inside turbulent patches is sustained at the local…

Fluid Dynamics · Physics 2017-12-15 Paul Manneville

We investigate the quasi two-dimensional Taylor-Couette system in the regime where the radius ratio is close to unity - a transitional regime between three and two dimensions. By systematically increasing the Reynolds number we observe a…

Fluid Dynamics · Physics 2015-12-02 Sebastian Altmeyer , Younghae Do , Ying-Cheng Lai

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

A series of direct numerical simulations of Taylor-Couette (TC) flow, the flow between two coaxial cylinders, with the outer cylinder rotating and the inner one fixed, were performed. Three cases, with outer cylinder Reynolds numbers $Re_o$…

Fluid Dynamics · Physics 2017-04-25 Rodolfo Ostilla-Mónico , Roberto Verzicco , Detlef Lohse

We study turbulent flows in pressure-driven ducts with square cross-section through direct numerical simulation in a wide enough range of Reynolds number to reach flow conditions which are representative of fully developed turbulence.…

Fluid Dynamics · Physics 2018-03-14 S. Pirozzoli , D. Modesti , P. Orlandi , F. Grasso

Flows in fluid layers are ubiquitous in industry, geophysics and astrophysics. Large-scale flows in thin layers can be considered two-dimensional (2d) with bottom friction added. Here we find that the properties of such flows depend…

Fluid Dynamics · Physics 2018-10-24 Gregory Falkovich , Natalia Vladimirova

Origin of hydrodynamic turbulence in rotating shear flow, e.g. plane Couette flow including the Coriolis force, is a big puzzle. While the flow often exhibits turbulence in laboratory experiments, according to the linear perturbation theory…

Astrophysics · Physics 2016-08-30 Banibrata Mukhopadhyay

The dynamical behavior of propagating structures, determined from a Karhunen-Lo`eve decomposition, in turbulent pipe flow undergoing reverse transition to laminar flow is investigated. The turbulent flow data is generated by a direct…

Fluid Dynamics · Physics 2009-09-29 A. Duggleby , K. S. Ball , M. R. Paul

Hydraulic jumps are oftentimes encountered in natural and human-made environments. The transition from supercritical to subcritical flow involves large energy dissipation rates and substantial air entrainment, preventing the use of…

Fluid Dynamics · Physics 2022-04-26 Matthias Kramer , Daniel Valero

The dynamical analysis of shear flows remains challenging, as turbulence generation and evolution are not fully understood. Here, a lesser-explored feature of incompressible shear flows-the absorbing zone-is investigated. This region in the…

Fluid Dynamics · Physics 2025-07-25 Péter Tamás Nagy