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We establish uniqueness and structural stability of a class of parallel flows in a 2D straight, infinite channel, under perturbations with either globally or locally bounded Dirichlet integrals. The significant feature of our result is that…

偏微分方程分析 · 数学 2026-02-19 Giovanni P. Galdi , Filippo Gazzola , Mikhail V. Korobkov , Xiao Ren , Gianmarco Sperone

This work builds upon recent work exploiting the notion of structured singular values to capture nonlinear interactions in the analysis of wall-bounded shear flows. In this context, the structured uncertainty can be interpreted in terms of…

流体动力学 · 物理学 2023-03-21 Chang Liu , Yu Shuai , Aishwarya Rath , Dennice F. Gayme

We examine the efficacy of streamwise traveling waves generated by a zero-net-mass-flux surface blowing and suction for controlling the onset of turbulence in a channel flow. For small amplitude actuation, we utilize weakly nonlinear…

流体动力学 · 物理学 2011-11-29 Rashad Moarref , Mihailo R. Jovanović

For applications regarding transition prediction, wing design and control of boundary layers, the fundamental understanding of disturbance growth in the flat-plate boundary layer is an important issue. In the present work we investigate the…

流体动力学 · 物理学 2013-03-05 A. V. Monwanou , C. H. Miwadinou , J. B. Chabi Orou

Laboratory experiments point out the existence of patterns made of alternately laminar and turbulent oblique bands in plane Couette flow in its way to/from turbulence as the Reynolds number R is varied. Many previous theoretical and…

流体动力学 · 物理学 2015-05-27 Jimmy Philip , Paul Manneville

Dynamics of non-Brownian flexible fibers in Poiseuille flow between two parallel planar solid walls is evaluated from the Stokes equations, solved numerically by an accurate multipole code HYDROMULTIPOLE. Fibers migrate towards a critical…

软凝聚态物质 · 物理学 2012-08-14 Agnieszka M. Slowicka , Eligiusz Wajnryb , Maria L. Ekiel-Jezewska

It has often been proposed that the formation of large-scale motion (or bulges) is a consequence of successive mergers and/or growth of near-wall hairpin vortices. In the present study, we report our direct observation that large-scale…

流体动力学 · 物理学 2017-11-01 Matteo de Giovanetti , Hyung Jin Sung , Yongyun Hwang

In wall-bounded shear flow the primary coherent structure is the streamwise roll and streak (R-S). Absent of an associated instability the R-S has been ascribed to non-normality mediated interaction between the mean flow and perturbations.…

流体动力学 · 物理学 2022-05-17 B. F. Farrell , P. J. Ioannou , M. -A. Nikolaidis

Stabilization schemes in wall-bounded flows often invoke fluid transpiration through porous boundaries. While these have been extensively validated for external flows, their efficacy in channels, particularly from the standpoint of…

流体动力学 · 物理学 2024-04-24 Muhammad Abdullah , George Ilhwan Park

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…

流体动力学 · 物理学 2019-04-09 Paul Manneville , Masaki Shimizu

The interactions between the near-wall streaks and the large-scale motions (LSMs) of the outer region of wall-bounded turbulent flows are investigated. The co-supporting hypothesis of Toh & Itano (2005) is checked in full-scale channels at…

流体动力学 · 物理学 2022-04-13 Zisong Zhou , Chun-Xiao Xu , Javier Jiménez

The steady-state behavior of a dilute suspension of self-propelled filaments confined between planar walls subjected to the Couette-flow is reported herein. The effect of hydrodynamics has been taken into account using a mesoscale…

软凝聚态物质 · 物理学 2019-05-13 Shalabh K. Anand , Sunil P. Singh

Low Reynolds number turbulence in wall-bounded shear flows \emph{en route} to laminar flow takes the form of oblique, spatially-intermittent turbulent structures. In plane Couette flow, these emerge from uniform turbulence via a…

流体动力学 · 物理学 2023-06-08 S. Gomé , L. S. Tuckerman , D. Barkley

We present several new spatially localized equilibrium and traveling-wave solutions of plane Couette and channel flows. The solutions exhibit strikingly concentrated regions of vorticity that are flanked on either side by high-speed…

流体动力学 · 物理学 2015-06-15 J. F. Gibson , E. W. Brand

The effect of streamwise-traveling waves of spanwise wall velocity (StTW) on the quasi-streamwise vortices (QSV) populating the near-wall region of turbulent channels is studied via a conditional averaging technique applied to flow…

流体动力学 · 物理学 2022-08-23 Emanuele Gallorini , Maurizio Quadrio , Davide Gatti

The phenomenon of bursting, in which streaks in turbulent boundary layers oscillate and then eject low speed fluid away from the wall, has been studied experimentally, theoretically, and computationally for more than 50 years because of its…

流体动力学 · 物理学 2014-08-28 D. Viswanath

Stochastic linear modelling proposed in Tissot, M\'emin & Cavalieri (J. Fluid Mech., vol. 912, 2021, A51) is based on classical conservation laws subject to a stochastic transport. Once linearised around the mean flow and expressed in the…

流体动力学 · 物理学 2022-07-27 Gilles Tissot , André Cavalieri , Etienne Mémin

Laminar-turbulent intermittency is intrinsic to the transitional regime of a wide range of fluid flows including pipe, channel, boundary layer and Couette flow. In the latter turbulent spots can grow and form continuous stripes, yet in the…

流体动力学 · 物理学 2013-06-11 Liang Shi , Marc Avila , Bjoern Hof

Recent work has found that the well-known `lift-up' mechanism is not important for, and may even inhibit, the transient growth possible on streaky wall-bounded shear flows which is believed an important process in the near-wall cycle for…

流体动力学 · 物理学 2025-10-16 Will Oxley , Rich Kerswell

We study the evolution of velocity fluctuations due to an isolated spatio-temporal impulse using the linearized Navier-Stokes equations. The impulse is introduced as an external body force in incompressible channel flow at $Re_\tau=10000$.…

流体动力学 · 物理学 2019-02-20 Sabarish B. Vadarevu , Simon J. Illingworth , Ivan Marusic