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We present two spanwise-localized travelling wave solutions in the asymptotic suction boundary layer, obtained by continuation of solutions of plane Couette flow. One of the solutions has the vortical structures located close to the wall,…

Fluid Dynamics · Physics 2016-05-03 Tobias Kreilos , John F. Gibson , Tobias M. Schneider

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

Following the findings in \cite{wangsawijaya2020}, we re-examine the turbulent boundary layers developing over surfaces with spanwise heterogeneous roughness of various roughness wavelengths $0.32 \leq S/\overline{\delta} \leq 3.63$, where…

Fluid Dynamics · Physics 2023-03-01 Dea Daniella Wangsawijaya , Nicholas Hutchins

Large-scale motions, also known as superstructures, are dynamically relevant coherent structures in a wall-bounded turbulent flow, that span the entire domain in wall-normal direction and significantly contribute to the global energy and…

Fluid Dynamics · Physics 2020-04-21 Sajjad Azimi , Carlo Cossu , Tobias M. Schneider

We investigate the effect of small suction Reynolds number and permeability parameter on the stability of Poiseuille fluid flow in a porous medium between two parallel horizontal stationary porous plates . We have shown that the perturbed…

Fluid Dynamics · Physics 2014-12-03 L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou

The growth of laminar-turbulent band patterns in plane Couette flow is studied in the vicinity of the global stability threshold R_g below which laminar flow ultimately prevails. Appropriately tailored direct numerical simulations are…

Fluid Dynamics · Physics 2015-06-04 Paul Manneville

The temporal linear stability of plane Poiseuille flow modified by spanwise forcing applied at the walls is considered. The forcing consists of a stationary streamwise distribution of spanwise velocity that generates a steady transversal…

Fluid Dynamics · Physics 2026-02-17 Daniele Massaro , Fulvio Martinelli , Peter J. Schmid , Maurizio Quadrio

Waves of spanwise velocity imposed at the walls of a plane turbulent channel flow are studied by Direct Numerical Simulations. We consider sinusoidal waves of spanwise velocity which vary in time and are modulated in space along the…

Fluid Dynamics · Physics 2015-05-13 M. Quadrio , P. Ricco , C. Viotti

A resolvent-based reduced-order representation is used to capture time-averaged second-order statistics in turbulent channel flow. The recently-proposed decomposition of the resolvent operator into two distinct families related to the…

Fluid Dynamics · Physics 2020-08-26 Ryan M. McMullen , Kevin Rosenberg , Beverley J. McKeon

We consider incompressible flows between two transversely vibrating solid walls and construct an asymptotic expansion of solutions of the Navier-Stokes equations in the limit when both the amplitude of vibrations and the thickness of the…

Fluid Dynamics · Physics 2011-08-16 Konstantin Ilin , Andrey Morgulis

We develop a perturbation-based frequency-response framework for analyzing amplification mechanisms that are central to subcritical routes to transition in wall-bounded shear flows. By systematically expanding the input-output dynamics of…

Fluid Dynamics · Physics 2026-05-04 Dušan Božić , Anubhav Dwivedi , Mihailo R. Jovanović

We present the stability analysis of a plane Couette flow which is stably stratified in the vertical direction orthogonally to the horizontal shear. Interest in such a flow comes from geophysical and astrophysical applications where…

Fluid Dynamics · Physics 2018-10-17 Giulio Facchini , Benjamin Favier , Patrice Le Gal , Meng Wang , Michael Le Bars

This paper is concerned with qualitative properties of bounded steady flows of an ideal incompressible fluid with no stagnation point in the two-dimensional plane R^2. We show that any such flow is a shear flow, that is, it is parallel to…

Analysis of PDEs · Mathematics 2018-10-03 Francois Hamel , Nikolai Nadirashvili

Streamwise elongated flow structures, or streaks, dominate wall-bounded flows. We show that the renowned lift-up mechanism, that generates streaks, is significantly altered by viscosity stratification. We additionally identify a novel…

Fluid Dynamics · Physics 2025-08-29 Anagha Madhusudanan , Simon J. Illingworth , Rama Govindarajan

This paper analyses the effects of small injection/suction Reynolds number, Hartmann number, permeability parameter and wave number on a viscous incompressilbe electrically conduction fluid flow in a parallel porous channel. The plates of…

Fluid Dynamics · Physics 2017-09-25 L. A. Hinvi , A. V. Monwanou , J. B. Chabi Orou

The widest spanwise scales in turbulent channel flows are studied through the use of three periodic channel-flow simulations at friction Reynolds number $\mathrm{Re}_{\tau}=550$. The length and height of the channels are the same in all…

Fluid Dynamics · Physics 2023-07-07 Ramón Pozuelo , André V. G. Cavalieri , Philipp Schlatter , Ricardo Vinuesa

The proliferation of turbulence in subcritical wall-bounded shear flows involves spatially localised coherent structures. Turbulent spots correspond to finite-time nonlinear responses to pointwise disturbances and are regarded as seeds of…

Fluid Dynamics · Physics 2020-10-14 Pavan V. Kashyap , Yohann Duguet , Matthew Chantry

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

This paper considers plane channel flow modified by waves of spanwise velocity applied at the wall and travelling along the streamwise direction. Laminar and turbulent regimes for the streamwise flow are both studied. When the streamwise…

Fluid Dynamics · Physics 2015-05-19 Maurizio Quadrio , Pierre Ricco

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